논문KCI 등재
Time Fractional Reaction-Diffusion System with Caputo-Fabrizio Derivative Using Mellin Transform
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In this study, a solution is presented for the time-fractional reaction-diffusion system with the Caputo-Fabrizio derivative by applying the Mellin transform, in which some assumptions are made to obtain the asymptotic behavior of the solution. As an application, a simple example problem is presented using the applied transform.
Abstract
In this study, a solution is presented for the time-fractional reaction-diffusion system with the Caputo-Fabrizio derivative by applying the Mellin transform, in which some assumptions are made to obtain the asymptotic behavior of the solution. As an application, a simple example problem is presented using the applied transform.
참고문헌 (8)
- Butera S, "Mellin transform approach for the solution of coupled systems of fractional differential equations", Commun Nonlinear Sci Numer Simulat, 20, pp.32~38 (2015)
- Podlubny I, "Fractional differential equations" (1998), Elsevier
- Azhar N, "Solution of fuzzy fractional order differential equations by fractional Mellin transform method", J Comput Appl Math, 400, pp.113727~ (2022)
- Tuan NH, "Well-posedness of an initial value problem for fractional diffusion equation with Caputo-Fabrizio derivative", J Comput Appl Math, 325, pp.112811~ (2020)
- Gafiychuk V, "Mathematical modeling of time fractional reaction", diffusion systems. J Comput Appl Math, 220, pp.215~225 (2008)
- Henry BI, "Existence of turing instabilities in a twospecies fractional reaction-diffusion system", SIAM J Appl Math, 62, pp.870~887 (2002)
- Jo S, "Mellin Transformation for solving fractional diffusion equations with Caputo-Fabrizio Derivative", QBS, 42, pp.35~40 (2023)
- Iwaniec H, "Analytic number theory" (2004), American Mathematical Society
관련 논문AI추천
Mellin Transformation for Solving Fractional Diffusion Equations with Caputo-Fabrizio Derivative조시훈자연과학연구소 · Quantitative Bio-Science2023 · 제42권 제1호Asymptotic Estimates for Fractional Diffusion Equation with Caputo-Fabrizio Derivative윤아나, 조시훈자연과학연구소 · Quantitative Bio-Science2024 · 제43권 제2호A general solution of a space-time fractional anomalous diffusion problem using the series of bilateral eigen-functionsHarish Srivastava, Hemant Kumar, Mahmood Ahmad Pathan대한수학회 · 대한수학회논문집2014 · 제29권 제1호ANALYTICAL TECHNIQUES FOR SYSTEM OF TIME FRACTIONAL NONLINEAR DIFFERENTIAL EQUATIONS최준상, Devendra Kumar, Jagdev Singh, Ram Swroop대한수학회 · 대한수학회지2017 · 제54권 제4호The analytical solutions of the time-fractional Newell-Whithead equation by the method of modified homotopy perturbation and separating variablesA. Mojaver, H. Bagherpur, H. Kheiri장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제4호GENERALIZED FRACTIONAL KINETIC EQUATIONS ASSOCIATED WITH ALEPH FUNCTION최준상, Dinesh Kumar장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제1호
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