Asymptotic stability of fractional difference equations with bounded time delays
In this paper, an integral inequality and the fractional Halanay inequalities with bounded time delays in fractional difference are investigated. By these inequalities, the asymptotical stability conditions of Caputo and Riemann-Liouville fractional difference equation with bounded time delays are o...
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| Veröffentlicht in: | Fractional calculus & applied analysis Jg. 23; H. 2; S. 571 - 590 |
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| Sprache: | Englisch |
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01.04.2020
De Gruyter Nature Publishing Group |
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| ISSN: | 1311-0454, 1314-2224 |
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| Abstract | In this paper, an integral inequality and the fractional Halanay inequalities with bounded time delays in fractional difference are investigated. By these inequalities, the asymptotical stability conditions of Caputo and Riemann-Liouville fractional difference equation with bounded time delays are obtained. Several examples are presented to illustrate the results. |
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| AbstractList | In this paper, an integral inequality and the fractional Halanay inequalities with bounded time delays in fractional difference are investigated. By these inequalities, the asymptotical stability conditions of Caputo and Riemann-Liouville fractional difference equation with bounded time delays are obtained. Several examples are presented to illustrate the results. |
| Author | Jia, Baoguo Du, Feifei Liu, Xiang Wang, Mei |
| Author_xml | – sequence: 1 givenname: Mei surname: Wang fullname: Wang, Mei email: 1196338819@qq.com organization: School of Mathematics, Sun Yat-Sen University – sequence: 2 givenname: Baoguo surname: Jia fullname: Jia, Baoguo organization: School of Mathematics, Sun Yat-Sen University – sequence: 3 givenname: Feifei surname: Du fullname: Du, Feifei organization: Department of Automation, Shanghai Jiao Tong University – sequence: 4 givenname: Xiang surname: Liu fullname: Liu, Xiang organization: School of Mathematical Sciences, Hebei Normal University |
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| Cites_doi | 10.1515/fca-2018-0037 10.1216/RMJ-2011-41-2-353 10.1002/asjc.1918 10.1016/j.neunet.2019.12.012 10.2478/s13540-014-0180-6 10.1073/pnas.81.10.3088 10.1049/iet-cta.2017.1144 10.1515/fca-2015-0040 10.1007/s11071-006-9094-0 10.1016/j.cnsns.2017.01.002 10.1007/s11071-013-1065-7 10.1007/s11071-015-2484-4 10.1007/978-3-319-09393-2 10.1016/j.aml.2016.10.002 10.1515/fca-2020-0007 10.1080/10236198.2017.1380634 10.1016/j.cnsns.2018.04.019 10.1016/j.neunet.2020.02.008 10.1007/s11071-016-2872-4 10.1007/s11071-010-9812-5 10.1186/s13662-017-1452-3 10.1177/1077546315574649 10.2478/s13540-013-0002-2 10.1126/science.267326 10.1155/2011/565067 10.1007/s11071-018-4439-z 10.1007/978-3-319-25562-0 10.1515/fca-2015-0028 10.1515/fca-2017-0013 10.14232/ejqtde.2015.1.89 org/10.2478/s13540-013-0002-2 org/10.1155/2011/565067 org/10.1515/fca-2018-0037 org/10.1515/fca-2015-0040 |
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| References | Chen, Hao, Huang (CR5) 2020; 125 Liu, Wu, Zhou (CR22) 2016; 86 Čermak, Kisela (CR7) 2015; 18 Rahmat, Noorani (CR28) 2015; 2015 Wu, Baleanu (CR33) 2014; 75 Mozyrska, Ostalczyk, Wyrwas (CR25) 2018; 66 Zhang, Liu, Xue, Chen (CR37) 2020; 23 Shobanadevi, Mohan (CR29) 2015; 7 Hopfield (CR14) 1984; 81 Baleanu, Wu, Bai, Chen (CR3) 2017; 48 Wu, Baleanu, Luo (CR35) 2017; 314 Ostalczyk (CR26) 2015 Jia, Erbe, Peterson (CR18) 2016; 11 Čermak, Győri, Nechvátal (CR8) 2015; 18 Goodrich, Peterson (CR11) 2015 Jia, Chen, Erbe, Peterson (CR19) 2017; 23 He, Zhou, Kou, Chen (CR13) 2018; 94 (CR31) 2017; 20 Atici, Eloe (CR1) 2011; 41 Jia, Du, Erbe, Peterson (CR20) 2018; 8 Jiang, Liu, Wang (CR21) 2018; 2018 Alzabut, Tyagi, Abbas (CR2) 2020; 22 Čermák, Kisela, Nechvátal (CR6) 2011; 2011 Fridman (CR10) 2014 Liu, Meerschaert, McGough, Zhuang, Liu (CR16) 2013; 16 Leal, Lizama, Murillo-Arcila (CR15) 2018; 21 Biswas, Banerjee (CR4) 2016; 83 Pei, Li, Li (CR27) 2011; 63 Sun, Zhang, Baleanu, Chen, Chen (CR30) 2018; 64 Jia, Erbe, Peterson (CR17) 2015; 89 You, Song, Zhao (CR36) 2020; 123 Wu, Baleanu, Lin (CR34) 2016; 22 Deng, Li, Lü (CR9) 2007; 48 Mackey, Glass (CR24) 1977; 197 He, Zhou, Kou, Chen (CR12) 2018; 12 Tejado, HosseinNia, Vinagre (CR32) 2014; 17 Liu, Zhou, Li (CR23) 2017; 65 Atici, F. M.; Eloe, P. W. (j_fca-2020-0028_ref_001_w2aab3b7e1285b1b6b1ab2b1b1Aa) 2011; 41 Tejado, I.; HosseinNia, S.; Vinagre, B. (j_fca-2020-0028_ref_032_w2aab3b7e1285b1b6b1ab2b1c32Aa) 2014; 17 Liu, F.; Meerschaert, M.; McGough, R.; Zhuang, P.; Liu, Q. (j_fca-2020-0028_ref_016_w2aab3b7e1285b1b6b1ab2b1c16Aa) 2013; 16 Shobanadevi, N.; Mohan, J.J. (j_fca-2020-0028_ref_029_w2aab3b7e1285b1b6b1ab2b1c29Aa) 2015; 7 Rahmat, M.R.S.; Noorani, M.S.M. (j_fca-2020-0028_ref_028_w2aab3b7e1285b1b6b1ab2b1c28Aa) 2015; 2015 Stanislawski, R. (j_fca-2020-0028_ref_031_w2aab3b7e1285b1b6b1ab2b1c31Aa) 2017; 20 Sun, H.; Zhang, Y.; Baleanu, D.; Chen, W.; Chen, Y. (j_fca-2020-0028_ref_030_w2aab3b7e1285b1b6b1ab2b1c30Aa) 2018; 64 Chen, L.; Hao, Y.; Huang, T. (j_fca-2020-0028_ref_005_w2aab3b7e1285b1b6b1ab2b1b5Aa) 2020; 125 Deng, W.; Li, C.; Lü, J. (j_fca-2020-0028_ref_009_w2aab3b7e1285b1b6b1ab2b1b9Aa) 2007; 48 Zhang, S.; Liu, L.; Xue, D.; Chen, Y. (j_fca-2020-0028_ref_037_w2aab3b7e1285b1b6b1ab2b1c37Aa) 2020; 23 Čermak, J.; Győri, I.; Nechvátal, L. (j_fca-2020-0028_ref_008_w2aab3b7e1285b1b6b1ab2b1b8Aa) 2015; 18 Pei, Y.; Li, S.; Li, C. (j_fca-2020-0028_ref_027_w2aab3b7e1285b1b6b1ab2b1c27Aa) 2011; 63 Hopfield, J. (j_fca-2020-0028_ref_014_w2aab3b7e1285b1b6b1ab2b1c14Aa) 1984; 81 Mackey, M.C.; Glass, L. (j_fca-2020-0028_ref_024_w2aab3b7e1285b1b6b1ab2b1c24Aa) 1977; 197 Wu, G.; Baleanu, D. (j_fca-2020-0028_ref_033_w2aab3b7e1285b1b6b1ab2b1c33Aa) 2014; 75 Leal, C.; Lizama, C.; Murillo-Arcila, M. (j_fca-2020-0028_ref_015_w2aab3b7e1285b1b6b1ab2b1c15Aa) 2018; 21 Liu, S.; Zhou, X.; Li, X. (j_fca-2020-0028_ref_023_w2aab3b7e1285b1b6b1ab2b1c23Aa) 2017; 65 Čermák, J.; Kisela, T.; Nechvátal, L. (j_fca-2020-0028_ref_006_w2aab3b7e1285b1b6b1ab2b1b6Aa) 2011; 2011 Jiang, J.; Liu, W.; Wang, H. (j_fca-2020-0028_ref_021_w2aab3b7e1285b1b6b1ab2b1c21Aa) 2018; 2018 He, B.; Zhou, H.; Kou, C.; Chen, Y. (j_fca-2020-0028_ref_012_w2aab3b7e1285b1b6b1ab2b1c12Aa) 2018; 12 Baleanu, D.; Wu, G.; Bai, Y.; Chen, F. (j_fca-2020-0028_ref_003_w2aab3b7e1285b1b6b1ab2b1b3Aa) 2017; 48 Jia, B.; Erbe, L.; Peterson, A. (j_fca-2020-0028_ref_018_w2aab3b7e1285b1b6b1ab2b1c18Aa) 2016; 11 Biswas, D.; Banerjee, T. (j_fca-2020-0028_ref_004_w2aab3b7e1285b1b6b1ab2b1b4Aa) 2016; 83 Wu, G.; Baleanu, D.; Lin, Z. (j_fca-2020-0028_ref_034_w2aab3b7e1285b1b6b1ab2b1c34Aa) 2016; 22 You, X.; Song, Q.; Zhao, Z. (j_fca-2020-0028_ref_036_w2aab3b7e1285b1b6b1ab2b1c36Aa) 2020; 123 Mozyrska, D.; Ostalczyk, P.; Wyrwas, M. (j_fca-2020-0028_ref_025_w2aab3b7e1285b1b6b1ab2b1c25Aa) 2018; 66 Alzabut, J.; Tyagi, S.; Abbas, S. (j_fca-2020-0028_ref_002_w2aab3b7e1285b1b6b1ab2b1b2Aa) 2020; 22 Jia, B.; Erbe, L.; Peterson, A. (j_fca-2020-0028_ref_017_w2aab3b7e1285b1b6b1ab2b1c17Aa) 2015 Wu, G.; Baleanu, D.; Luo, W. (j_fca-2020-0028_ref_035_w2aab3b7e1285b1b6b1ab2b1c35Aa) 2017; 314 He, B.; Zhou, H.; Kou, C.; Chen, Y. (j_fca-2020-0028_ref_013_w2aab3b7e1285b1b6b1ab2b1c13Aa) 2018; 94 Čermak, J.; Kisela, T. (j_fca-2020-0028_ref_007_w2aab3b7e1285b1b6b1ab2b1b7Aa) 2015; 18 Jia, B.; Chen, S.; Erbe, L.; Peterson, A. (j_fca-2020-0028_ref_019_w2aab3b7e1285b1b6b1ab2b1c19Aa) 2017; 23 Liu, S.; Wu, X.; Zhou, X. (j_fca-2020-0028_ref_022_w2aab3b7e1285b1b6b1ab2b1c22Aa) 2016; 86 Jia, B.; Du, F.; Erbe, L.; Peterson, A. (j_fca-2020-0028_ref_020_w2aab3b7e1285b1b6b1ab2b1c20Aa) 2018; 8 S Liu (2302015_CR23) 2017; 65 N Shobanadevi (2302015_CR29) 2015; 7 E Fridman (2302015_CR10) 2014 Y Pei (2302015_CR27) 2011; 63 G Wu (2302015_CR33) 2014; 75 J Čermak (2302015_CR7) 2015; 18 C Goodrich (2302015_CR11) 2015 G Wu (2302015_CR35) 2017; 314 B He (2302015_CR13) 2018; 94 F M Atici (2302015_CR1) 2011; 41 B He (2302015_CR12) 2018; 12 F Liu (2302015_CR16) 2013; 16 S Zhang (2302015_CR37) 2020; 23 D Baleanu (2302015_CR3) 2017; 48 C Leal (2302015_CR15) 2018; 21 S Liu (2302015_CR22) 2016; 86 B Jia (2302015_CR19) 2017; 23 (2302015_CR31) 2017; 20 H Sun (2302015_CR30) 2018; 64 J Čermák (2302015_CR6) 2011; 2011 W Deng (2302015_CR9) 2007; 48 L Chen (2302015_CR5) 2020; 125 J Čermak (2302015_CR8) 2015; 18 B Jia (2302015_CR17) 2015; 89 G Wu (2302015_CR34) 2016; 22 MRS Rahmat (2302015_CR28) 2015; 2015 X You (2302015_CR36) 2020; 123 D Biswas (2302015_CR4) 2016; 83 I Tejado (2302015_CR32) 2014; 17 J Hopfield (2302015_CR14) 1984; 81 J Alzabut (2302015_CR2) 2020; 22 B Jia (2302015_CR18) 2016; 11 P Ostalczyk (2302015_CR26) 2015 MC Mackey (2302015_CR24) 1977; 197 B Jia (2302015_CR20) 2018; 8 J Jiang (2302015_CR21) 2018; 2018 D Mozyrska (2302015_CR25) 2018; 66 |
| References_xml | – volume: 21 start-page: 696 issue: 3 year: 2018 end-page: 715 ident: CR15 article-title: Lebesgue regularity for nonlocal time-discrete equations with delays publication-title: Fract. Calc. Appl. Anal. doi: 10.1515/fca-2018-0037 – volume: 20 issue: 1 year: 2017 ident: CR31 publication-title: Fract. Calc. Appl. Anal. – volume: 41 start-page: 353 issue: 2 year: 2011 end-page: 370 ident: CR1 article-title: Linear systems of fractional nabla difference equations publication-title: Rocky Mountain J. Math. doi: 10.1216/RMJ-2011-41-2-353 – volume: 22 start-page: 143 issue: 1 year: 2020 end-page: 155 ident: CR2 article-title: Discrete fractional-order BAM neural networks with leakage delay: existence and stability results publication-title: Asian J. Control. doi: 10.1002/asjc.1918 – volume: 11 start-page: 163 issue: 2 year: 2016 end-page: 178 ident: CR18 article-title: Comparison theorems and asymptotic behavior of solutions of Caputo fractional equations publication-title: Int. J. Difference Equ. – volume: 2015 start-page: 1 issue: 160 year: 2015 end-page: 15 ident: CR28 article-title: Caputo type fractional difference operator and its application on discrete time scales publication-title: Adv. Difference Equ. – volume: 123 start-page: 248 year: 2020 end-page: 260 ident: CR36 article-title: Existence and finite-time stability of discrete fractional-order complex-valued neural networks with time delays publication-title: Neural Networks doi: 10.1016/j.neunet.2019.12.012 – volume: 8 start-page: 1707 issue: 6 year: 2018 end-page: 1726 ident: CR20 article-title: Asymptotic behavior of nabla half order h-difference equations publication-title: J. Appl. Anal. Comput. – volume: 17 start-page: 462 issue: 2 year: 2014 end-page: 482 ident: CR32 article-title: Adaptive gain-order fractional control for network-based applications publication-title: Fract. Calc. Appl. Anal. doi: 10.2478/s13540-014-0180-6 – volume: 81 start-page: 3088 issue: 10 year: 1984 end-page: 3092 ident: CR14 article-title: Neurons with graded response have collective computational properties like those of two-state neurons publication-title: Proc. Natl. Acad. Sci. USA doi: 10.1073/pnas.81.10.3088 – volume: 12 start-page: 1748 issue: 12 year: 2018 end-page: 1754 ident: CR12 article-title: Asymptotical stability of fractional order systems with time delay via an integral inequality publication-title: IET Control Theory A. doi: 10.1049/iet-cta.2017.1144 – volume: 18 start-page: 651 issue: 3 year: 2015 end-page: 672 ident: CR8 article-title: On explicit stability conditions for a linear fractional difference system publication-title: Fract. Calc. Appl. Anal. doi: 10.1515/fca-2015-0040 – volume: 48 start-page: 409 issue: 4 year: 2007 end-page: 416 ident: CR9 article-title: Stability analysis of linear fractional differential system with multiple time delays publication-title: Nonlinear Dynam. doi: 10.1007/s11071-006-9094-0 – volume: 48 start-page: 520 year: 2017 end-page: 530 ident: CR3 article-title: Stability analysis of Caputo-like discrete fractional systems publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2017.01.002 – volume: 75 start-page: 283 year: 2014 end-page: 287 ident: CR33 article-title: Discrete fractional logistic map and its chaos publication-title: Nonlinear Dynam. doi: 10.1007/s11071-013-1065-7 – volume: 7 start-page: 129 issue: 2 year: 2015 end-page: 144 ident: CR29 article-title: Analysis of discrete Mittag-Leffler functions publication-title: Int. J. Anal. Appl. – volume: 83 start-page: 2331 issue: 4 year: 2016 end-page: 2347 ident: CR4 article-title: A simple chaotic and hyperchaotic time-delay system: design and electronic circuit implementation publication-title: Nonlinear Dynam. doi: 10.1007/s11071-015-2484-4 – year: 2014 ident: CR10 publication-title: Introduction to Time-Delay Systems: Analysis and Control doi: 10.1007/978-3-319-09393-2 – volume: 65 start-page: 32 year: 2017 end-page: 39 ident: CR23 article-title: Asymptotical stability of Riemann-Liouville fractional singular systems with multiple time-varying delays publication-title: Appl. Math. Lett. doi: 10.1016/j.aml.2016.10.002 – year: 2015 ident: CR26 publication-title: Discrete Fractional Calculus: Applications in Control and Image Processing. – volume: 23 start-page: 183 issue: 1 year: 2020 end-page: 210 ident: CR37 article-title: Stability and resonance analysis of a general non-commensurate elementary fractional-order system publication-title: Fract. Calc. Appl. Anal. doi: 10.1515/fca-2020-0007 – volume: 23 start-page: 1974 issue: 12 year: 2017 end-page: 1985 ident: CR19 article-title: Liapunov functional and stability of linear nabla ( )-fractional difference equations publication-title: J. Differ. Equ. Appl. doi: 10.1080/10236198.2017.1380634 – volume: 64 start-page: 213 year: 2018 end-page: 231 ident: CR30 article-title: A new collection of real world applications of fractional calculus in science and engineering publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2018.04.019 – volume: 125 start-page: 174 year: 2020 end-page: 184 ident: CR5 article-title: Chaos in fractional-order discrete neural networks with application to image encryption publication-title: Neural Networks doi: 10.1016/j.neunet.2020.02.008 – volume: 86 start-page: 65 issue: 1 year: 2016 end-page: 71 ident: CR22 article-title: Asymptotical stability of Riemann-Liouville fractional nonlinear systems publication-title: Nonlinear Dynam. doi: 10.1007/s11071-016-2872-4 – volume: 63 start-page: 311 issue: 3 year: 2011 end-page: 321 ident: CR27 article-title: Effect of delay on a predator-prey model with parasitic infection publication-title: Nonlinear Dynam. doi: 10.1007/s11071-010-9812-5 – volume: 2018 start-page: 1 year: 2018 end-page: 14 ident: CR21 article-title: Positive solutions to singular Dirichlet-type boundary value problems of nonlinear fractional differential equations publication-title: Adv. Difference Equ. doi: 10.1186/s13662-017-1452-3 – volume: 22 start-page: 2092 issue: 8 year: 2016 end-page: 2099 ident: CR34 article-title: Image encryption technique based on fractional chaotic time series publication-title: J. Vib. Control. doi: 10.1177/1077546315574649 – volume: 16 start-page: 9 issue: 1 year: 2013 end-page: 25 ident: CR16 article-title: Numerical methods for solving the multi-term time-fractional wave-diffusion equation publication-title: Fract. Calc. Appl. Anal. doi: 10.2478/s13540-013-0002-2 – volume: 314 start-page: 228 year: 2017 end-page: 236 ident: CR35 article-title: Lyapunov functions for Riemann-Liouville-like fractional difference equations publication-title: Appl. Math. Comput. – volume: 197 start-page: 287 issue: 4300 year: 1977 end-page: 289 ident: CR24 article-title: Oscillation and chaos in physiological control systems publication-title: Science doi: 10.1126/science.267326 – volume: 66 start-page: 449 issue: 4 year: 2018 end-page: 454 ident: CR25 article-title: Stability conditions for fractional-order linear equations with delays publication-title: B. Pol. Acad. Sci-Tech. – volume: 2011 start-page: 1 year: 2011 end-page: 21 ident: CR6 article-title: Discrete Mittag-Leffler functions in linear fractional difference equations publication-title: Abstr. Appl. Anal. doi: 10.1155/2011/565067 – volume: 94 start-page: 1523 issue: 2 year: 2018 end-page: 1534 ident: CR13 article-title: New integral inequalities and asymptotic stability of fractional-order systems with unbounded time delay publication-title: Nonlinear Dyam. doi: 10.1007/s11071-018-4439-z – volume: 89 start-page: 1 year: 2015 end-page: 18 ident: CR17 article-title: Comparison theorems and asymptotic behavior of solutions of discrete fractional equations publication-title: Electron. J. Qual. Theo. – year: 2015 ident: CR11 publication-title: Discrete Fractional Calculus doi: 10.1007/978-3-319-25562-0 – volume: 18 start-page: 437 issue: 2 year: 2015 end-page: 458 ident: CR7 article-title: Asymptotic stability of dynamic equations with two fractional terms: continuous versus discrete case publication-title: Fract. Calc. Appl. Anal. doi: 10.1515/fca-2015-0028 – volume: 20 issue: 1 year: 2017 ident: j_fca-2020-0028_ref_031_w2aab3b7e1285b1b6b1ab2b1c31Aa article-title: New results in stability analysis for LTI SISO systems modeled by GL-discretized fractional-order transfer functions publication-title: Fract. Calc. Appl. Anal. doi: 10.1515/fca-2017-0013 – volume: 48 start-page: 409 issue: 4 year: 2007 end-page: 416 ident: j_fca-2020-0028_ref_009_w2aab3b7e1285b1b6b1ab2b1b9Aa article-title: Stability analysis of linear fractional differential system with multiple time delays publication-title: Nonlinear Dynam. – volume: 17 start-page: 462 issue: 2 year: 2014 end-page: 482 ident: j_fca-2020-0028_ref_032_w2aab3b7e1285b1b6b1ab2b1c32Aa article-title: Adaptive gain-order fractional control for network-based applications publication-title: Fract. Calc. Appl. Anal. doi: 10.2478/s13540-014-0180-6 – volume: 314 start-page: 228 year: 2017 end-page: 236 ident: j_fca-2020-0028_ref_035_w2aab3b7e1285b1b6b1ab2b1c35Aa article-title: Lyapunov functions for Riemann-Liouville-like fractional difference equations publication-title: Appl. Math. Comput. – volume: 12 start-page: 1748 issue: 12 year: 2018 end-page: 1754 ident: j_fca-2020-0028_ref_012_w2aab3b7e1285b1b6b1ab2b1c12Aa article-title: Asymptotical stability of fractional order systems with time delay via an integral inequality publication-title: IET Control Theory A. – volume: 22 start-page: 143 issue: 1 year: 2020 end-page: 155 ident: j_fca-2020-0028_ref_002_w2aab3b7e1285b1b6b1ab2b1b2Aa article-title: Discrete fractional-order BAM neural networks with leakage delay: existence and stability results publication-title: Asian J. Control. – volume: 63 start-page: 311 issue: 3 year: 2011 end-page: 321 ident: j_fca-2020-0028_ref_027_w2aab3b7e1285b1b6b1ab2b1c27Aa article-title: Effect of delay on a predator-prey model with parasitic infection publication-title: Nonlinear Dynam. – volume: 64 start-page: 213 year: 2018 end-page: 231 ident: j_fca-2020-0028_ref_030_w2aab3b7e1285b1b6b1ab2b1c30Aa article-title: A new collection of real world applications of fractional calculus in science and engineering publication-title: Commun. Nonlinear Sci. Numer. Simul. – volume: 23 start-page: 183 issue: 1 year: 2020 end-page: 210 ident: j_fca-2020-0028_ref_037_w2aab3b7e1285b1b6b1ab2b1c37Aa article-title: Stability and resonance analysis of a general non-commensurate elementary fractional-order system publication-title: Fract. Calc. Appl. Anal. doi: 10.1515/fca-2020-0007 – volume: 48 start-page: 520 year: 2017 end-page: 530 ident: j_fca-2020-0028_ref_003_w2aab3b7e1285b1b6b1ab2b1b3Aa article-title: Stability analysis of Caputo-like discrete fractional systems publication-title: Commun. Nonlinear Sci. Numer. Simul. – volume: 86 start-page: 65 issue: 1 year: 2016 end-page: 71 ident: j_fca-2020-0028_ref_022_w2aab3b7e1285b1b6b1ab2b1c22Aa article-title: Asymptotical stability of Riemann-Liouville fractional nonlinear systems publication-title: Nonlinear Dynam. – volume: 81 start-page: 3088 issue: 10 year: 1984 end-page: 3092 ident: j_fca-2020-0028_ref_014_w2aab3b7e1285b1b6b1ab2b1c14Aa article-title: Neurons with graded response have collective computational properties like those of two-state neurons publication-title: Proc. Natl. Acad. Sci. USA – volume: 8 start-page: 1707 issue: 6 year: 2018 end-page: 1726 ident: j_fca-2020-0028_ref_020_w2aab3b7e1285b1b6b1ab2b1c20Aa article-title: Asymptotic behavior of nabla half order h-difference equations publication-title: J. Appl. Anal. Comput. – volume: 197 start-page: 287 issue: 4300 year: 1977 end-page: 289 ident: j_fca-2020-0028_ref_024_w2aab3b7e1285b1b6b1ab2b1c24Aa article-title: Oscillation and chaos in physiological control systems publication-title: Science – start-page: 1 issue: 89 year: 2015 end-page: 18 ident: j_fca-2020-0028_ref_017_w2aab3b7e1285b1b6b1ab2b1c17Aa article-title: Comparison theorems and asymptotic behavior of solutions of discrete fractional equations publication-title: Electron. J. Qual. Theo. doi: 10.14232/ejqtde.2015.1.89 – volume: 16 start-page: 9 issue: 1 year: 2013 end-page: 25 ident: j_fca-2020-0028_ref_016_w2aab3b7e1285b1b6b1ab2b1c16Aa article-title: Numerical methods for solving the multi-term time-fractional wave-diffusion equation publication-title: Fract. Calc. Appl. Anal. doi: org/10.2478/s13540-013-0002-2 – volume: 66 start-page: 449 issue: 4 year: 2018 end-page: 454 ident: j_fca-2020-0028_ref_025_w2aab3b7e1285b1b6b1ab2b1c25Aa article-title: Stability conditions for fractional-order linear equations with delays publication-title: B. Pol. Acad. Sci-Tech. – volume: 125 start-page: 174 year: 2020 end-page: 184 ident: j_fca-2020-0028_ref_005_w2aab3b7e1285b1b6b1ab2b1b5Aa article-title: Chaos in fractional-order discrete neural networks with application to image encryption publication-title: Neural Networks – volume: 41 start-page: 353 issue: 2 year: 2011 end-page: 370 ident: j_fca-2020-0028_ref_001_w2aab3b7e1285b1b6b1ab2b1b1Aa article-title: Linear systems of fractional nabla difference equations publication-title: Rocky Mountain J. Math. – volume: 18 start-page: 437 issue: 2 year: 2015 end-page: 458 ident: j_fca-2020-0028_ref_007_w2aab3b7e1285b1b6b1ab2b1b7Aa article-title: Asymptotic stability of dynamic equations with two fractional terms: continuous versus discrete case publication-title: Fract. Calc. Appl. Anal. doi: 10.1515/fca-2015-0028 – volume: 2015 start-page: 1 issue: 160 year: 2015 end-page: 15 ident: j_fca-2020-0028_ref_028_w2aab3b7e1285b1b6b1ab2b1c28Aa article-title: Caputo type fractional difference operator and its application on discrete time scales publication-title: Adv. Difference Equ. – volume: 11 start-page: 163 issue: 2 year: 2016 end-page: 178 ident: j_fca-2020-0028_ref_018_w2aab3b7e1285b1b6b1ab2b1c18Aa article-title: Comparison theorems and asymptotic behavior of solutions of Caputo fractional equations publication-title: Int. J. Difference Equ. – volume: 123 start-page: 248 year: 2020 end-page: 260 ident: j_fca-2020-0028_ref_036_w2aab3b7e1285b1b6b1ab2b1c36Aa article-title: Existence and finite-time stability of discrete fractional-order complex-valued neural networks with time delays publication-title: Neural Networks – volume: 7 start-page: 129 issue: 2 year: 2015 end-page: 144 ident: j_fca-2020-0028_ref_029_w2aab3b7e1285b1b6b1ab2b1c29Aa article-title: Analysis of discrete Mittag-Leffler functions publication-title: Int. J. Anal. Appl. – volume: 83 start-page: 2331 issue: 4 year: 2016 end-page: 2347 ident: j_fca-2020-0028_ref_004_w2aab3b7e1285b1b6b1ab2b1b4Aa article-title: A simple chaotic and hyperchaotic time-delay system: design and electronic circuit implementation publication-title: Nonlinear Dynam. – volume: 22 start-page: 2092 issue: 8 year: 2016 end-page: 2099 ident: j_fca-2020-0028_ref_034_w2aab3b7e1285b1b6b1ab2b1c34Aa article-title: Image encryption technique based on fractional chaotic time series publication-title: J. Vib. Control. – volume: 2011 start-page: 1 year: 2011 end-page: 21 ident: j_fca-2020-0028_ref_006_w2aab3b7e1285b1b6b1ab2b1b6Aa article-title: Discrete Mittag-Leffler functions in linear fractional difference equations publication-title: Abstr. Appl. Anal. doi: org/10.1155/2011/565067 – volume: 21 start-page: 696 issue: 3 year: 2018 end-page: 715 ident: j_fca-2020-0028_ref_015_w2aab3b7e1285b1b6b1ab2b1c15Aa article-title: Lebesgue regularity for nonlocal time-discrete equations with delays publication-title: Fract. Calc. Appl. Anal. doi: org/10.1515/fca-2018-0037 – volume: 2018 start-page: 1 year: 2018 end-page: 14 ident: j_fca-2020-0028_ref_021_w2aab3b7e1285b1b6b1ab2b1c21Aa article-title: Positive solutions to singular Dirichlet-type boundary value problems of nonlinear fractional differential equations publication-title: Adv. Difference Equ. – volume: 65 start-page: 32 year: 2017 end-page: 39 ident: j_fca-2020-0028_ref_023_w2aab3b7e1285b1b6b1ab2b1c23Aa article-title: Asymptotical stability of Riemann-Liouville fractional singular systems with multiple time-varying delays publication-title: Appl. Math. Lett. – volume: 75 start-page: 283 year: 2014 end-page: 287 ident: j_fca-2020-0028_ref_033_w2aab3b7e1285b1b6b1ab2b1c33Aa article-title: Discrete fractional logistic map and its chaos publication-title: Nonlinear Dynam. – volume: 23 start-page: 1974 issue: 12 year: 2017 end-page: 1985 ident: j_fca-2020-0028_ref_019_w2aab3b7e1285b1b6b1ab2b1c19Aa article-title: Liapunov functional and stability of linear nabla (qh)-fractional difference equations publication-title: J. Differ. Equ. Appl. – volume: 18 start-page: 651 issue: 3 year: 2015 end-page: 672 ident: j_fca-2020-0028_ref_008_w2aab3b7e1285b1b6b1ab2b1b8Aa article-title: On explicit stability conditions for a linear fractional difference system publication-title: Fract. Calc. Appl. Anal. doi: org/10.1515/fca-2015-0040 – volume: 94 start-page: 1523 issue: 2 year: 2018 end-page: 1534 ident: j_fca-2020-0028_ref_013_w2aab3b7e1285b1b6b1ab2b1c13Aa article-title: New integral inequalities and asymptotic stability of fractional-order systems with unbounded time delay publication-title: Nonlinear Dyam. – volume: 17 start-page: 462 issue: 2 year: 2014 ident: 2302015_CR32 publication-title: Fract. Calc. Appl. Anal. doi: 10.2478/s13540-014-0180-6 – volume: 86 start-page: 65 issue: 1 year: 2016 ident: 2302015_CR22 publication-title: Nonlinear Dynam. doi: 10.1007/s11071-016-2872-4 – volume: 12 start-page: 1748 issue: 12 year: 2018 ident: 2302015_CR12 publication-title: IET Control Theory A. doi: 10.1049/iet-cta.2017.1144 – volume: 21 start-page: 696 issue: 3 year: 2018 ident: 2302015_CR15 publication-title: Fract. Calc. Appl. Anal. doi: 10.1515/fca-2018-0037 – volume: 8 start-page: 1707 issue: 6 year: 2018 ident: 2302015_CR20 publication-title: J. Appl. Anal. Comput. – volume: 16 start-page: 9 issue: 1 year: 2013 ident: 2302015_CR16 publication-title: Fract. Calc. Appl. Anal. doi: 10.2478/s13540-013-0002-2 – volume: 65 start-page: 32 year: 2017 ident: 2302015_CR23 publication-title: Appl. Math. Lett. doi: 10.1016/j.aml.2016.10.002 – volume: 64 start-page: 213 year: 2018 ident: 2302015_CR30 publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2018.04.019 – volume: 20 issue: 1 year: 2017 ident: 2302015_CR31 publication-title: Fract. Calc. Appl. Anal. – volume: 83 start-page: 2331 issue: 4 year: 2016 ident: 2302015_CR4 publication-title: Nonlinear Dynam. doi: 10.1007/s11071-015-2484-4 – volume: 2011 start-page: 1 year: 2011 ident: 2302015_CR6 publication-title: Abstr. Appl. Anal. doi: 10.1155/2011/565067 – volume: 23 start-page: 1974 issue: 12 year: 2017 ident: 2302015_CR19 publication-title: J. Differ. Equ. Appl. doi: 10.1080/10236198.2017.1380634 – volume: 66 start-page: 449 issue: 4 year: 2018 ident: 2302015_CR25 publication-title: B. Pol. Acad. Sci-Tech. – volume: 23 start-page: 183 issue: 1 year: 2020 ident: 2302015_CR37 publication-title: Fract. Calc. Appl. Anal. doi: 10.1515/fca-2020-0007 – volume: 125 start-page: 174 year: 2020 ident: 2302015_CR5 publication-title: Neural Networks doi: 10.1016/j.neunet.2020.02.008 – volume: 18 start-page: 651 issue: 3 year: 2015 ident: 2302015_CR8 publication-title: Fract. Calc. Appl. Anal. doi: 10.1515/fca-2015-0040 – volume: 197 start-page: 287 issue: 4300 year: 1977 ident: 2302015_CR24 publication-title: Science doi: 10.1126/science.267326 – volume: 22 start-page: 2092 issue: 8 year: 2016 ident: 2302015_CR34 publication-title: J. Vib. Control. doi: 10.1177/1077546315574649 – volume: 48 start-page: 409 issue: 4 year: 2007 ident: 2302015_CR9 publication-title: Nonlinear Dynam. doi: 10.1007/s11071-006-9094-0 – volume: 7 start-page: 129 issue: 2 year: 2015 ident: 2302015_CR29 publication-title: Int. J. Anal. Appl. – volume: 48 start-page: 520 year: 2017 ident: 2302015_CR3 publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2017.01.002 – volume: 22 start-page: 143 issue: 1 year: 2020 ident: 2302015_CR2 publication-title: Asian J. Control. doi: 10.1002/asjc.1918 – volume: 81 start-page: 3088 issue: 10 year: 1984 ident: 2302015_CR14 publication-title: Proc. Natl. Acad. Sci. USA doi: 10.1073/pnas.81.10.3088 – volume-title: Discrete Fractional Calculus: Applications in Control and Image Processing. year: 2015 ident: 2302015_CR26 – volume: 123 start-page: 248 year: 2020 ident: 2302015_CR36 publication-title: Neural Networks doi: 10.1016/j.neunet.2019.12.012 – volume-title: Introduction to Time-Delay Systems: Analysis and Control year: 2014 ident: 2302015_CR10 doi: 10.1007/978-3-319-09393-2 – volume-title: Discrete Fractional Calculus year: 2015 ident: 2302015_CR11 doi: 10.1007/978-3-319-25562-0 – volume: 11 start-page: 163 issue: 2 year: 2016 ident: 2302015_CR18 publication-title: Int. J. Difference Equ. – volume: 94 start-page: 1523 issue: 2 year: 2018 ident: 2302015_CR13 publication-title: Nonlinear Dyam. doi: 10.1007/s11071-018-4439-z – volume: 89 start-page: 1 year: 2015 ident: 2302015_CR17 publication-title: Electron. J. Qual. Theo. – volume: 2015 start-page: 1 issue: 160 year: 2015 ident: 2302015_CR28 publication-title: Adv. Difference Equ. – volume: 314 start-page: 228 year: 2017 ident: 2302015_CR35 publication-title: Appl. Math. Comput. – volume: 41 start-page: 353 issue: 2 year: 2011 ident: 2302015_CR1 publication-title: Rocky Mountain J. Math. doi: 10.1216/RMJ-2011-41-2-353 – volume: 63 start-page: 311 issue: 3 year: 2011 ident: 2302015_CR27 publication-title: Nonlinear Dynam. doi: 10.1007/s11071-010-9812-5 – volume: 2018 start-page: 1 year: 2018 ident: 2302015_CR21 publication-title: Adv. Difference Equ. doi: 10.1186/s13662-017-1452-3 – volume: 75 start-page: 283 year: 2014 ident: 2302015_CR33 publication-title: Nonlinear Dynam. doi: 10.1007/s11071-013-1065-7 – volume: 18 start-page: 437 issue: 2 year: 2015 ident: 2302015_CR7 publication-title: Fract. Calc. Appl. Anal. doi: 10.1515/fca-2015-0028 |
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| SubjectTerms | 39A12 Abstract Harmonic Analysis Analysis Asymptotic properties asymptotical stability bounded time delays Difference equations fractional difference fractional Halanay inequality Functional Analysis Inequalities Integral Transforms Mathematics Operational Calculus Primary 26A33 Research Paper Secondary 39A70 Service introduction Stability |
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| Title | Asymptotic stability of fractional difference equations with bounded time delays |
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