On the Fuzzy Solution of Time-Fractional Cauchy Reaction-Diffusion Equation

Sakineh Khakrangin, Tofigh Allahviranloo, Nasser Mikaeilvand, Saeid Abbasbandy

Abstract


In the current article, fuzzy Sumudu transform iterative method is defined and used to obtain an analytical fuzzy triangular solution of the time-fractional Cauchy reaction-diffusion equation under generalized Hukuhara partial differentiability. On this basis, we prove some properties of fuzzy Sumudu transform. The merits and applicability of the proposed theory are validated through numerical simulation.

Keywords


The fuzzy Sumudu transform, generalized Hukuhara partial derivative, The Caputo generalized Hukuhara partial differentiability, Time-Fractional Cauchy Reaction-Diffusion Equation.

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