Výsledky vyhledávání - Applications of Generalized Functions in Mathematics and Physics

Novel trial functions and rogue waves of generalized breaking soliton equation via bilinear neural network method Autor Zhang, Run-Fa, Li, Ming-Chu, Gan, Jian-Yuan, Li, Qing, Lan, Zhong-Zhou

“…In this work, some new test functions are constructed by setting generalized activation functions in different artificial network models…”
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Series representations for fractional-calculus operators involving generalised Mittag-Leffler functions Autor Fernandez, Arran, Baleanu, Dumitru, Srivastava, H.M.

“… We consider an integral transform introduced by Prabhakar, involving generalised multi-parameter Mittag-Leffler functions, which can be used to introduce and investigate several different models of fractional calculus…”
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Exact solutions of the generalized multidimensional mathematical physics models via sub-equation method Autor Akinyemi, Lanre, Şenol, Mehmet, Iyiola, Olaniyi S.

“…In this paper, our focus is on the multidimensional mathematical physics models. We employ the sub-equation method to obtain new exact solutions to the proposed strongly nonlinear time-fractional differential equations of conformable type…”
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Generalized information entropy and generalized information dimension Autor Zhan, Tianxiang, Zhou, Jiefeng, Li, Zhen, Deng, Yong

“… To address this issue, this article proposes Generalized Information Entropy (GIE) that unifies entropies based on mass function…”
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Generalized enriched cyclic contractions with application to generalized iterated function system Autor Abbas, Mujahid, Anjum, Rizwan, Iqbal, Hira

“…•As an application, we investigate the iterated function systems (IFS) comprised of generalized cyclic contraction mappings…”
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Generalized Hermite–Hadamard type inequalities for generalized F-convex function via local fractional integrals Autor Razzaq, Arslan, Rasheed, Tahir, Shaokat, Shahid

“…In this paper, we will present the new generalized F-convexity and related integral inequalities on fractal sets Rς (0<ς≤1…”
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A generalized (1+2)-dimensional Bogoyavlenskii–Kadomtsev–Petviashvili (BKP) equation: Multiple exp-function algorithm; conservation laws; similarity solutions Autor Moretlo, T.S., Adem, A.R., Muatjetjeja, B.

“…A generalized (1+2)-dimensional Bogoyavlenskii–Kadomtsev–Petviashvili (BKP) equation which is an augmentation of the Bogoyavlenskii…”
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Application of modified exponential rational function method to Jaulent–Miodek system leading to exact classical solutions Autor Iqbal, Muhammad S., Seadawy, Aly R., Baber, Muhammad Z., Qasim, Muhammad

“… The generalized exponential rational function method is applied to extract the exact solutions of JM system…”
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On generalized fractional operators and related function spaces with applications Autor Cichoń, Kinga, Cichoń, Mieczysław

“…The application of fractional calculus-based mathematical models in physics is a well-established practice…”
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Relational generalized iterated function systems Autor Abraham, Izabella, Miculescu, Radu, Mihail, Alexandru

“…In this paper, we introduce a wider class of generalized iterated function systems, called relational generalized iterated function systems…”
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The generalized Duffing oscillator Autor Kudryashov, Nikolay A.

“…•The generalized Duffing oscillator is considered.•The Painleve test is used to study the integrability of equations…”
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The ion sound and Langmuir waves dynamical system via computational modified generalized exponential rational function Autor Ali, Karmina K., Yokus, Asıf, Seadawy, Aly R., Yilmazer, Resat

“…In this study, we investigate a system of equations based on ion sound and Langmuir waves equations using a generalized exponential rational function, and a new technique named as a modified…”
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Fractional generalized cumulative entropy and its dynamic version Autor Di Crescenzo, Antonio, Kayal, Suchandan, Meoli, Alessandra

“…•We discuss properties of the empirical measure and apply it to real data. Following the theory of information measures based on the cumulative distribution function, we propose the fractional generalized cumulative entropy, and its dynamic version…”
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New fractal–fractional parametric inequalities with applications Autor Butt, Saad Ihsan, Khan, Ahmad

“…In the present paper, we first establish a general parameterized identity for local fractional twice differentiable functions involving extended fractal…”
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Some local fractional Maclaurin type inequalities for generalized convex functions and their applications Autor Meftah, B., Souahi, A., Merad, M.

“… Using this identity we derive some new local fractional integrals inequalities of Maclaurin-type for functions whose local fractional derivatives are generalized convex functions…”
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Lie symmetry analysis, soliton solutions and qualitative analysis concerning to the generalized q-deformed Sinh-Gordon equation Autor Raza, Nauman, Salman, Farwa, Butt, Asma Rashid, Gandarias, María Luz

“… derived. Also, new forms of soliton solutions of generalized q-deformed equation via means of unified method has been extracted…”
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A generalized fractional-order Chebyshev wavelet method for two-dimensional distributed-order fractional differential equations Autor Do, Quan H., Ngo, Hoa T.B., Razzaghi, Mohsen

“…•Two-dimensional distributed-order fractional differential equations (DOFDE) are used in different applications…”
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Stationary optical solitons with nonlinear chromatic dispersion and generalized temporal evolution by extended trial function approach Autor Sucu, Nuray, Ekici, Mehmet, Biswas, Anjan

“…•Nonlinear Schrödinger’s equation with generalized evolution and arbitrary law of nonlinearity is studied…”
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Generalized fractional operator with applications in mathematical physics Autor Samraiz, Muhammad, Mehmood, Ahsan, Iqbal, Sajid, Naheed, Saima, Rahman, Gauhar, Chu, Yu-Ming

“…In this paper, we establish a generalize weighted fractional derivative operator involving Mittag-Leffler function in its kernel…”
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Hermite–Hadamard inequalities for generalized σ−conformable integrals generated by co-ordinated functions Autor Çi̇ri̇ş, Sümeyye Ermeydan, Yildirim, Hüseyin

“…In this paper, we define generalized σ− conformable fractional integrals on co-ordinated functions and generalized σ…”
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