Semi-analytical solutions for time-fractional Cauchy reaction-diffusion equations via the new Elazki transform iterative method

Tarate, Shivaji Ashok; Bhadane, Ashok P; Gaikwad, Shrikisan B; Kshirsagar, Kishor Ashok

doi:10.22034/cmde.2024.53470.2253

Semi-analytical solutions for time-fractional Cauchy reaction-diffusion equations via the new Elazki transform iterative method

Document Type : Research Paper

Authors

¹ Department of Mathematics, New Arts, Commerce and Science College, Ahmednagar, Maharashtra, India.

² Department of Mathematics, Loknete Vyankatrao Hiray Arts, Science and Commerce College, Nashik, Maharashtra, India.

10.22034/cmde.2024.53470.2253

Abstract

In this article, the estimated analytic solutions for time-fractional Cauchy Reaction-Diffusion Equations (CRDE) are obtained using a New Elzaki Transform Iterative Method (NETIM). This method is the fusion of the Elzaki transform and the Iterative approach. The proposed technique is elegant and easy to adopt and comprehend. The semi-analytical results demonstrate, as this paper shows, a graphical interpretation of the solution using the mathematical software “Mathematica Wolform” and considering Caputo’s sense derivatives to analytical results, the suggested strategy is efficient and straightforward

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