Generalized Monotone Method for Caputo Fractional Reaction-Diffusion Equation | Zendy

Vaibhav B. Jagzap | Zendy

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Generalized Monotone Method for Caputo Fractional Reaction-Diffusion Equation

Author(s) -

Vaibhav B. Jagzap

Publication year - 2022

Publication title -

international journal of advanced research in science communication and technology

Language(s) - English

Resource type - Journals

ISSN - 2581-9429

DOI - 10.48175/ijarsct-3088

Subject(s) - monotone polygon , monotonic function , mathematics , reaction–diffusion system , diffusion , diffusion equation , mathematical analysis , function (biology) , representation (politics) , physics , thermodynamics , geometry , economy , evolutionary biology , biology , politics , political science , law , economics , service (business)

In this paper, our aim is to obtain the integral representation for the solution of non-linear Caputo reaction-diffusion equation of order q, where 0 < q < 1, in term of Green’s function. We have developed a generalized monotone method for non-linear weakly coupled Caputo reaction-diffusion equation. The generalized monotone method yields monotone sequences which converges uniformly and monotonically to coupled minimal and maximal solutions. The existence of a unique solution for the non-linear Caputo reaction-diffusion equation is obtained.

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