Fractional calculus operators with Appell function kernels applied to Srivastava polynomials and extended Mittag-Leffler function
This article aims to establish certain image formulas associated with the fractional calculus operators with Appell function in the kernel and Caputo-type fractional differential operators involving Srivastava polynomials and extended Mittag-Leffler function. The main outcomes are presented in terms...
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| Veröffentlicht in: | Advances in difference equations Jg. 2020; H. 1; S. 1 - 14 |
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| Abstract | This article aims to establish certain image formulas associated with the fractional calculus operators with Appell function in the kernel and Caputo-type fractional differential operators involving Srivastava polynomials and extended Mittag-Leffler function. The main outcomes are presented in terms of the extended Wright function. In addition, along with the noted outcomes, the implications are also highlighted. |
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| AbstractList | This article aims to establish certain image formulas associated with the fractional calculus operators with Appell function in the kernel and Caputo-type fractional differential operators involving Srivastava polynomials and extended Mittag-Leffler function. The main outcomes are presented in terms of the extended Wright function. In addition, along with the noted outcomes, the implications are also highlighted. Abstract This article aims to establish certain image formulas associated with the fractional calculus operators with Appell function in the kernel and Caputo-type fractional differential operators involving Srivastava polynomials and extended Mittag-Leffler function. The main outcomes are presented in terms of the extended Wright function. In addition, along with the noted outcomes, the implications are also highlighted. |
| ArticleNumber | 148 |
| Author | Purohit, S. D. Agarwal, R. Suthar, D. L. Nisar, Kottakkaran Sooppy |
| Author_xml | – sequence: 1 givenname: Kottakkaran Sooppy surname: Nisar fullname: Nisar, Kottakkaran Sooppy email: n.sooppy@psau.edu.sa organization: Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University – sequence: 2 givenname: D. L. surname: Suthar fullname: Suthar, D. L. organization: Department of Mathematics, Wollo University – sequence: 3 givenname: R. surname: Agarwal fullname: Agarwal, R. organization: Department of Mathematics, Malaviya National Institute of Technology – sequence: 4 givenname: S. D. surname: Purohit fullname: Purohit, S. D. organization: Department of HEAS (Mathematics), Rajasthan Technical University |
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| Cites_doi | 10.1080/00207160.2015.1045886 10.1016/j.physa.2005.12.062 10.1134/1.1448634 10.1016/j.chaos.2017.03.066 10.22436/jnsa.009.01.02 10.1080/10652460802295978 10.1186/1029-242X-2014-85 10.1016/j.ijpharm.2018.03.060 10.1140/epjp/i2017-11434-8 10.1016/j.aej.2019.12.046 10.1186/s13662-019-2488-3 10.1016/j.aej.2019.12.022 10.3390/math7030248 10.1007/s40590-017-0167-5 10.1115/1.4045406 10.1007/s40819-017-0457-7 10.1155/2014/274093 10.1016/S0377-0427(96)00102-1 10.4236/jmp.2014.516160 10.1016/j.chaos.2020.109619 10.22436/jnsa.010.08.19 10.1186/s13662-016-1029-6 10.1002/mma.6208 10.1016/j.chaos.2017.04.027 10.1002/mma.6297 10.1080/10652469808819200 10.1080/23311835.2017.1320830 10.1007/BF02403202 |
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| Keywords | 33B15 Extended Wright-type hypergeometric functions 33C99 44A10 26A33 Wright-type hypergeometric functions Extended Mittag-Leffler function Srivastava polynomial 33C05 |
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| References | Rahman, Agarwal, Mubeen, Arshad (CR32) 2017; 24 Dorrego, Cerutti (CR10) 2012; 7 Purohit, Suthar, Kalla (CR31) 2012; 67 Suthar, Amsalu (CR41) 2017; 12 Kumar, Kumar, Singh, Nisar, Kumar (CR21) 2019 Mittag-Leffler (CR26) 1903; 137 Gorenflo, Kilbas, Rogosin (CR12) 1998; 7 Sharma, Kumar, Cattani, Baleanu (CR36) 2019 Suthar, Purohit (CR43) 2014; 27 Sharma, Devi (CR37) 2015; 9 Brouers, Sotolongo-Costa (CR6) 2006; 368 Ahokposi, Atangana, Vermeulen (CR1) 2017; 132 Brouers (CR5) 2014; 5 Saxena, Ram, Suthar (CR35) 2009; 31 Srivastava, Manocha (CR40) 1984 Kataria, Vellaisamy (CR15) 2015; 23 Kumar, Nisar, Kumar, Cattani, Samet (CR22) 2020 Kilbas, Sebastian (CR16) 2008; 19 Jleli, Kumar, Kumar, Samet (CR14) 2019 Kumar, Kumar, Abbas, Qurashi, Baleanu (CR19) 2020 Özarslan, Yilmaz (CR29) 2014; 2014 Araci, Rahman, Ghaffar, Azeema (CR2) 2019; 7 Nisar, Eata, Dhaifallah, Choi (CR28) 2016 Baleanu, Kumar, Purohit (CR4) 2016; 93 Ghanbari, Kumar, Kumar (CR11) 2020; 133 Kumar, Purohit, Choi (CR18) 2016; 9 Meilanov, Yanpolov (CR24) 2002; 28 Atangana (CR3) 2017; 102 Srivastava (CR38) 1968; 16 Chouhan, Khan, Saraswat (CR9) 2014; 5 Gorenflo, Mainardi, Srivastava (CR13) 1998 Suthar, Habenom, Tadesse (CR42) 2018; 4 Rahman, Baleanu, Al-Qurashi, Purohit, Mubeen, Arshad (CR33) 2017; 10 Saigo, Maeda (CR34) 1998 Chen, Liang (CR8) 2017; 102 Wiman (CR44) 1905; 29 Marichev (CR23) 1974; 1 Prabhakar (CR30) 1971; 19 Chaudhry, Qadir, Rafique, Zubair (CR7) 1997; 78 Srivastava, Choi (CR39) 2012 Kumar, Kumar, Agarwal, Samet (CR20) 2020 Kosmidis, Macheras (CR17) 2018; 43 Misra, Suthar, Purohit (CR25) 2017; 4 Mondal, Nisar (CR27) 2014; 2014 R. Gorenflo (2610_CR13) 1998 K. Kosmidis (2610_CR17) 2018; 43 B. Sharma (2610_CR36) 2019 D.P. Ahokposi (2610_CR1) 2017; 132 K.S. Nisar (2610_CR28) 2016 R.K. Saxena (2610_CR35) 2009; 31 G.M. Mittag-Leffler (2610_CR26) 1903; 137 H.M. Srivastava (2610_CR39) 2012 S. Kumar (2610_CR19) 2020 V.N. Misra (2610_CR25) 2017; 4 G.A. Dorrego (2610_CR10) 2012; 7 D. Kumar (2610_CR18) 2016; 9 S.C. Sharma (2610_CR37) 2015; 9 M.A. Özarslan (2610_CR29) 2014; 2014 S. Araci (2610_CR2) 2019; 7 F. Brouers (2610_CR5) 2014; 5 S.D. Purohit (2610_CR31) 2012; 67 D. Baleanu (2610_CR4) 2016; 93 T.R. Prabhakar (2610_CR30) 1971; 19 M. Jleli (2610_CR14) 2019 S. Kumar (2610_CR21) 2019 O.I. Marichev (2610_CR23) 1974; 1 K.K. Kataria (2610_CR15) 2015; 23 M.A. Chaudhry (2610_CR7) 1997; 78 A. Wiman (2610_CR44) 1905; 29 A. Atangana (2610_CR3) 2017; 102 S. Kumar (2610_CR20) 2020 G. Rahman (2610_CR32) 2017; 24 R.P. Meilanov (2610_CR24) 2002; 28 G. Rahman (2610_CR33) 2017; 10 D.L. Suthar (2610_CR42) 2018; 4 A. Chouhan (2610_CR9) 2014; 5 B. Ghanbari (2610_CR11) 2020; 133 F. Brouers (2610_CR6) 2006; 368 A.A. Kilbas (2610_CR16) 2008; 19 H.M. Srivastava (2610_CR40) 1984 R. Gorenflo (2610_CR12) 1998; 7 S.R. Mondal (2610_CR27) 2014; 2014 W. Chen (2610_CR8) 2017; 102 D.L. Suthar (2610_CR41) 2017; 12 D.L. Suthar (2610_CR43) 2014; 27 M. Saigo (2610_CR34) 1998 S. Kumar (2610_CR22) 2020 H.M. Srivastava (2610_CR38) 1968; 16 |
| References_xml | – volume: 93 start-page: 1320 year: 2016 end-page: 1329 ident: CR4 article-title: Generalized fractional integrals of product of two H-functions and a general class of polynomials publication-title: Int. J. Comput. Math. doi: 10.1080/00207160.2015.1045886 – volume: 137 start-page: 554 year: 1903 end-page: 558 ident: CR26 article-title: Sur la nouvelle fonction publication-title: C. R. Acad. Sci. Paris – volume: 368 start-page: 165 year: 2006 end-page: 175 ident: CR6 article-title: Generalized fractal kinetics in complex systems (application to biophysics and biotechnology) publication-title: Phys. A, Stat. Mech. Appl. doi: 10.1016/j.physa.2005.12.062 – volume: 7 start-page: 705 year: 2012 end-page: 716 ident: CR10 article-title: The -Mittag-Leffler function publication-title: Int. J. Contemp. Math. Sci. – volume: 28 start-page: 30 year: 2002 end-page: 32 ident: CR24 article-title: Features of the phase trajectory of a fractal oscillator publication-title: Tech. Phys. Lett. doi: 10.1134/1.1448634 – volume: 102 start-page: 72 year: 2017 end-page: 77 ident: CR8 article-title: New methodologies in fractional and fractal derivatives modeling publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2017.03.066 – year: 1984 ident: CR40 publication-title: A Treatise on Generating Functions – year: 2012 ident: CR39 publication-title: Zeta and -Zeta Functions and Associated Series and Integrals – volume: 9 start-page: 8 year: 2016 end-page: 21 ident: CR18 article-title: Generalized fractional integrals involving product of multivariable H-function and a general class of polynomials publication-title: J. Nonlinear Sci. Appl. doi: 10.22436/jnsa.009.01.02 – volume: 19 start-page: 7 year: 1971 end-page: 15 ident: CR30 article-title: A singular integral equation with a generalized Mittag-Leffler function in the kernel publication-title: Yokohama Math. J. – volume: 23 start-page: 75 year: 2015 end-page: 87 ident: CR15 article-title: The generalized -Wright function and Marichev–Saigo–Maeda fractional operators publication-title: J. Anal. – volume: 19 start-page: 869 year: 2008 end-page: 883 ident: CR16 article-title: Generalized fractional integration of Bessel function of the first kind publication-title: Integral Transforms Spec. Funct. doi: 10.1080/10652460802295978 – start-page: 386 year: 1998 end-page: 400 ident: CR34 article-title: More generalization of fractional calculus publication-title: Transform Methods & Special Functions – volume: 2014 year: 2014 ident: CR29 article-title: The extended Mittag-Leffler function and its properties publication-title: J. Inequal. Appl. doi: 10.1186/1029-242X-2014-85 – volume: 43 start-page: 269 year: 2018 end-page: 273 ident: CR17 article-title: On the dilemma of fractal or fractional kinetics in drug release studies: a comparison between Weibull and Mittag-Leffler functions publication-title: Int. J. Pharm. doi: 10.1016/j.ijpharm.2018.03.060 – volume: 132 start-page: 165 year: 2017 end-page: 175 ident: CR1 article-title: Modelling groundwater fractal flow with fractional differentiation via Mittag-Leffler law publication-title: Eur. Phys. J. Plus doi: 10.1140/epjp/i2017-11434-8 – year: 2019 ident: CR21 article-title: An efficient numerical scheme for fractional model of HIV-1 infection of CD4+ T-cells with the effect of antiviral drug therapy publication-title: Alex. Eng. J. doi: 10.1016/j.aej.2019.12.046 – volume: 67 start-page: 21 year: 2012 end-page: 32 ident: CR31 article-title: Marichev–Saigo–Maeda fractional integration operators of the Bessel function publication-title: Matematiche – volume: 5 start-page: 88 year: 2014 end-page: 95 ident: CR9 article-title: A note on Marichev–Saigo–Maeda fractional integral operator publication-title: J. Fract. Calc. Appl. – year: 2020 ident: CR19 article-title: A modified analytical approach with existence and uniqueness for fractional Cauchy reaction–diffusion equations publication-title: Adv. Differ. Equ. doi: 10.1186/s13662-019-2488-3 – volume: 9 start-page: 45 year: 2015 end-page: 51 ident: CR37 article-title: Certain properties of extended Wright generalized hypergeometric function publication-title: Ann. Pure Appl. Math. – year: 2019 ident: CR14 article-title: Analytical approach for time fractional wave equations in the sense of Yang–Abdel–Aty–Cattani via the homotopy perturbation transform method publication-title: Alex. Eng. J. doi: 10.1016/j.aej.2019.12.022 – volume: 7 year: 2019 ident: CR2 article-title: Fractional calculus of extended Mittag-Leffler function and its applications to statistical distribution publication-title: Mathematics doi: 10.3390/math7030248 – volume: 24 start-page: 381 year: 2017 end-page: 392 ident: CR32 article-title: Fractional integral operators involving extended Mittag-Leffler function as its kernel publication-title: Bol. Soc. Mat. Mex. doi: 10.1007/s40590-017-0167-5 – volume: 27 start-page: 117 issue: 2 year: 2014 end-page: 124 ident: CR43 article-title: Unified fractional integral formulae for the generalized Mittag-Leffler functions publication-title: J. Sci. Arts – year: 2019 ident: CR36 article-title: Nonlinear dynamics of Cattaneo–Christov heat flux model for third-grade power-law fluid publication-title: J. Comput. Nonlinear Dyn. doi: 10.1115/1.4045406 – volume: 4 start-page: 1 issue: 1 year: 2018 end-page: 12 ident: CR42 article-title: Generalized fractional calculus formulas for a product of Mittag-Leffler function and multivariable polynomials publication-title: Int. J. Appl. Comput. Math. doi: 10.1007/s40819-017-0457-7 – volume: 2014 year: 2014 ident: CR27 article-title: Marichev–Saigo–Maeda fractional integration operators involving generalized Bessel functions publication-title: Math. Probl. Eng. doi: 10.1155/2014/274093 – volume: 78 start-page: 19 year: 1997 end-page: 32 ident: CR7 article-title: Extension of Euler’s beta function publication-title: J. Comput. Appl. Math. doi: 10.1016/S0377-0427(96)00102-1 – volume: 5 start-page: 1594 year: 2014 end-page: 1601 ident: CR5 article-title: The fractal (BSf) kinetics equation and its approximations publication-title: J. Mod. Phys. doi: 10.4236/jmp.2014.516160 – start-page: 195 year: 1998 end-page: 202 ident: CR13 article-title: Special functions in fractional relaxation oscillation and fractional diffusion-wave phenomena publication-title: Proceedings of the Eighth International Colloquium on Differential Equations – volume: 133 year: 2020 ident: CR11 article-title: A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2020.109619 – volume: 10 start-page: 4244 year: 2017 end-page: 4253 ident: CR33 article-title: The extended Mittag-Leffler function via fractional calculus publication-title: J. Nonlinear Sci. Appl. doi: 10.22436/jnsa.010.08.19 – year: 2016 ident: CR28 article-title: Fractional calculus of generalized -Mittag-Leffler function and its applications to statistical distribution publication-title: Adv. Differ. Equ. doi: 10.1186/s13662-016-1029-6 – volume: 1 start-page: 128 year: 1974 end-page: 129 ident: CR23 article-title: Volterra equation of Mellin convolution type with a horn function in the kernel publication-title: Vescì Akad. Navuk BSSR, Ser. Fiz.-Mat. Navuk – year: 2020 ident: CR22 article-title: A new Rabotnov fractional-exponential function based fractional derivative for diffusion equation under external force publication-title: Math. Methods Appl. Sci. doi: 10.1002/mma.6208 – volume: 16 start-page: 77 year: 1968 end-page: 88 ident: CR38 article-title: On an extension of the Mittag-Leffler function publication-title: Yokohama Math. J. – volume: 102 start-page: 396 year: 2017 end-page: 406 ident: CR3 article-title: Fractal-fractional differentiation and integration: connecting fractal calculus and fractional calculus to predict complex system publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2017.04.027 – volume: 31 start-page: 165 issue: 1 year: 2009 end-page: 172 ident: CR35 article-title: Generalized fractional calculus of the generalized Mittag-Leffler functions publication-title: J. Indian Acad. Math. – year: 2020 ident: CR20 article-title: A study on fractional Lotka Volterra population model by using Haar wavelet and Adams Bashforth–Moulton methods publication-title: Math. Methods Appl. Sci. doi: 10.1002/mma.6297 – volume: 7 start-page: 215 year: 1998 end-page: 224 ident: CR12 article-title: On the generalized Mittag-Leffler type functions publication-title: Integral Transforms Spec. Funct. doi: 10.1080/10652469808819200 – volume: 4 year: 2017 ident: CR25 article-title: Marichev–Saigo–Maeda fractional calculus operators, Srivastava polynomials and generalized Mittag-Leffler function publication-title: Cogent Math. doi: 10.1080/23311835.2017.1320830 – volume: 12 start-page: 1002 issue: 2 year: 2017 end-page: 1016 ident: CR41 article-title: Generalized fractional integral operators involving Mittag-Leffler function publication-title: Appl. Appl. Math. – volume: 29 start-page: 191 year: 1905 end-page: 201 ident: CR44 article-title: Über den fundamentalsatz in der theorie der funktionen publication-title: Acta Math. doi: 10.1007/BF02403202 – start-page: 386 volume-title: Transform Methods & Special Functions year: 1998 ident: 2610_CR34 – volume: 67 start-page: 21 year: 2012 ident: 2610_CR31 publication-title: Matematiche – volume: 7 year: 2019 ident: 2610_CR2 publication-title: Mathematics doi: 10.3390/math7030248 – volume: 31 start-page: 165 issue: 1 year: 2009 ident: 2610_CR35 publication-title: J. Indian Acad. Math. – volume: 132 start-page: 165 year: 2017 ident: 2610_CR1 publication-title: Eur. Phys. J. Plus doi: 10.1140/epjp/i2017-11434-8 – volume: 9 start-page: 45 year: 2015 ident: 2610_CR37 publication-title: Ann. Pure Appl. Math. – volume: 4 start-page: 1 issue: 1 year: 2018 ident: 2610_CR42 publication-title: Int. J. Appl. Comput. Math. doi: 10.1007/s40819-017-0457-7 – year: 2020 ident: 2610_CR20 publication-title: Math. Methods Appl. Sci. doi: 10.1002/mma.6297 – volume: 5 start-page: 88 year: 2014 ident: 2610_CR9 publication-title: J. Fract. Calc. Appl. – volume: 93 start-page: 1320 year: 2016 ident: 2610_CR4 publication-title: Int. J. Comput. Math. doi: 10.1080/00207160.2015.1045886 – start-page: 195 volume-title: Proceedings of the Eighth International Colloquium on Differential Equations year: 1998 ident: 2610_CR13 – volume: 78 start-page: 19 year: 1997 ident: 2610_CR7 publication-title: J. Comput. Appl. Math. doi: 10.1016/S0377-0427(96)00102-1 – volume: 43 start-page: 269 year: 2018 ident: 2610_CR17 publication-title: Int. J. Pharm. doi: 10.1016/j.ijpharm.2018.03.060 – volume: 2014 year: 2014 ident: 2610_CR27 publication-title: Math. Probl. Eng. doi: 10.1155/2014/274093 – volume: 133 year: 2020 ident: 2610_CR11 publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2020.109619 – volume: 10 start-page: 4244 year: 2017 ident: 2610_CR33 publication-title: J. Nonlinear Sci. Appl. doi: 10.22436/jnsa.010.08.19 – volume: 24 start-page: 381 year: 2017 ident: 2610_CR32 publication-title: Bol. Soc. Mat. Mex. doi: 10.1007/s40590-017-0167-5 – volume: 368 start-page: 165 year: 2006 ident: 2610_CR6 publication-title: Phys. A, Stat. Mech. Appl. doi: 10.1016/j.physa.2005.12.062 – year: 2019 ident: 2610_CR36 publication-title: J. Comput. Nonlinear Dyn. doi: 10.1115/1.4045406 – volume: 137 start-page: 554 year: 1903 ident: 2610_CR26 publication-title: C. R. Acad. Sci. Paris – year: 2016 ident: 2610_CR28 publication-title: Adv. Differ. Equ. doi: 10.1186/s13662-016-1029-6 – volume: 102 start-page: 72 year: 2017 ident: 2610_CR8 publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2017.03.066 – volume: 23 start-page: 75 year: 2015 ident: 2610_CR15 publication-title: J. Anal. – volume-title: Zeta and q-Zeta Functions and Associated Series and Integrals year: 2012 ident: 2610_CR39 – volume: 29 start-page: 191 year: 1905 ident: 2610_CR44 publication-title: Acta Math. doi: 10.1007/BF02403202 – year: 2020 ident: 2610_CR22 publication-title: Math. Methods Appl. Sci. doi: 10.1002/mma.6208 – volume: 19 start-page: 869 year: 2008 ident: 2610_CR16 publication-title: Integral Transforms Spec. Funct. doi: 10.1080/10652460802295978 – year: 2019 ident: 2610_CR21 publication-title: Alex. Eng. J. doi: 10.1016/j.aej.2019.12.046 – volume: 2014 year: 2014 ident: 2610_CR29 publication-title: J. Inequal. Appl. doi: 10.1186/1029-242X-2014-85 – year: 2019 ident: 2610_CR14 publication-title: Alex. Eng. J. doi: 10.1016/j.aej.2019.12.022 – volume: 102 start-page: 396 year: 2017 ident: 2610_CR3 publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2017.04.027 – volume: 7 start-page: 705 year: 2012 ident: 2610_CR10 publication-title: Int. J. Contemp. Math. Sci. – volume: 9 start-page: 8 year: 2016 ident: 2610_CR18 publication-title: J. Nonlinear Sci. Appl. doi: 10.22436/jnsa.009.01.02 – volume-title: A Treatise on Generating Functions year: 1984 ident: 2610_CR40 – volume: 5 start-page: 1594 year: 2014 ident: 2610_CR5 publication-title: J. Mod. Phys. doi: 10.4236/jmp.2014.516160 – volume: 27 start-page: 117 issue: 2 year: 2014 ident: 2610_CR43 publication-title: J. Sci. Arts – year: 2020 ident: 2610_CR19 publication-title: Adv. Differ. Equ. doi: 10.1186/s13662-019-2488-3 – volume: 7 start-page: 215 year: 1998 ident: 2610_CR12 publication-title: Integral Transforms Spec. Funct. doi: 10.1080/10652469808819200 – volume: 1 start-page: 128 year: 1974 ident: 2610_CR23 publication-title: Vescì Akad. Navuk BSSR, Ser. Fiz.-Mat. Navuk – volume: 4 year: 2017 ident: 2610_CR25 publication-title: Cogent Math. doi: 10.1080/23311835.2017.1320830 – volume: 12 start-page: 1002 issue: 2 year: 2017 ident: 2610_CR41 publication-title: Appl. Appl. Math. – volume: 28 start-page: 30 year: 2002 ident: 2610_CR24 publication-title: Tech. Phys. Lett. doi: 10.1134/1.1448634 – volume: 16 start-page: 77 year: 1968 ident: 2610_CR38 publication-title: Yokohama Math. J. – volume: 19 start-page: 7 year: 1971 ident: 2610_CR30 publication-title: Yokohama Math. J. |
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| SubjectTerms | Analysis Applications Difference and Functional Equations Differential calculus Differential equations Extended Mittag-Leffler function Extended Wright-type hypergeometric functions Fractional calculus Functional Analysis Kernels Mathematics Mathematics and Statistics Methods Operators (mathematics) Ordinary Differential Equations Partial Differential Equations Polynomials Srivastava polynomial Topics in Special Functions and q-Special Functions: Theory Wright-type hypergeometric functions |
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| Title | Fractional calculus operators with Appell function kernels applied to Srivastava polynomials and extended Mittag-Leffler function |
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