The main aim of the current article is considering a nonlinear time‐fractional Cauchy reaction–diffusion equation with the Mittag–Leffler law and deriving its approximate analytical solution in a systematic way. More precisely, after reformulati...
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https://www.riss.kr/link?id=O111616326
2021년
-
0170-4214
1099-1476
SCIE;SCOPUS
학술저널
6247-6258 [※수록면이 p5 이하이면, Review, Columns, Editor's Note, Abstract 등일 경우가 있습니다.]
0
상세조회0
다운로드다국어 초록 (Multilingual Abstract)
The main aim of the current article is considering a nonlinear time‐fractional Cauchy reaction–diffusion equation with the Mittag–Leffler law and deriving its approximate analytical solution in a systematic way. More precisely, after reformulati...
The main aim of the current article is considering a nonlinear time‐fractional Cauchy reaction–diffusion equation with the Mittag–Leffler law and deriving its approximate analytical solution in a systematic way. More precisely, after reformulating the nonlinear time‐fractional Cauchy reaction–diffusion equation with the Mittag–Leffler law, its approximate analytical solution is derived formally through the use of the homotopy analysis transform method (HATM) which is based on the homotopy method and the Laplace transform. The existence and uniqueness of the solution of the nonlinear time‐fractional Cauchy reaction–diffusion equation with the Mittag–Leffler law are also studied by adopting the fixed‐point theorem. In the end, by considering some two‐ and three‐dimensional graphs, the influence of the order of time‐fractional operator on the displacement is examined in detail.
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