A robust computational analysis of residual power series involving general transform to solve fractional differential equations

Sagar R. Khirsariya, Jignesh P. Chauhan and Snehal B. Rao

Mathematics and Computers in Simulation (MATCOM), 2024, vol. 216, issue C, 168-186

Abstract: In this paper, we provide a new semi-analytical approach, General Residual Power Series Method (GRPSM), to solve fractional differential equations (FDEs). This technique is simple and effective for finding an accurate and approximate solution to linear and nonlinear FDEs. Furthermore, the graphical and numerical results are described in various fractional orders. The solution obtained by GRPSM is compared with Adomian decomposition and Homotopy analysis transform method. We have solved fractional ordered gas dynamics equations and drainage equations using GRPSM, to show the applicability and simplicity of this method.

Keywords: Caputo fractional derivative; General transform; Residual power series method; Gas dynamics equation; Drainage equation (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:216:y:2024:i:c:p:168-186

DOI: 10.1016/j.matcom.2023.09.007

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