Solution to fractional evolution equation using Mohand transform

A. Patra, P. Baliarsingh and H. Dutta

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 200, issue C, 557-570

Abstract: This paper represents an efficacious analytical technique, called Mohand-Adomian decomposition method which is used to obtain the solution of some nonlinear fractional evolution equations which are commonly arising in science and engineering fields. Fractional differential equations are being considered as one of the most effective and efficient tools in modeling various natural and physical processes. Usually, fractional derivatives and integrations are dynamic in nature enabling to model varieties of dynamic systems. In this work, we discuss some dynamic properties of fractional derivatives for Riemann–Liouville and Caputo types, and establish some results on fractional derivatives of both the types. Further, using Mohand transform the obtained results are compared with exact solution and demonstrated by graphs for new solutions. The outcome reveals that the proposed method is more reliable and efficient for solving many physical models in mathematical physics.

Keywords: Fractional dynamics; Riemann–Liouville fractional derivatives; Caputo fractional derivatives; Fractional derivatives; Evolution equation; Mittag-Leffler function (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:200:y:2022:i:c:p:557-570

DOI: 10.1016/j.matcom.2022.04.021

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