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

Authors

  • Sakineh Khakrangin Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
  • Tofigh Allahviranloo Faculty of Engineering and Natural Sciences, Istinye University, Istanbul, Tukey.
  • Nasser Mikaeilvand Department of Mathematics, Ardabil branch, Islamic Azad University, Ardabil, Iran.
  • Saeid Abbasbandy Department of Mathematics, Imam khomeini International University, Ghazvin, Iran

DOI:

https://doi.org/10.30495/jme.v18i0.3151

Keywords:

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

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.

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Published

2024-12-28

Issue

Vol. 18

Section

Vol. 18, No. 12, (2024)

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