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A Laplace substitution method of space-time fractional order including jumbled partial derivatives
Journal article   Peer reviewed

A Laplace substitution method of space-time fractional order including jumbled partial derivatives

Anas Arafa, Ibrahim Hanafy and Ahmed Hagag
Mathematical methods in the applied sciences, Vol.45(4), pp.2398-2412
15/03/2022
DOI: https://doi.org/10.1002/mma.7935

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we present new approximate solutions to some linear and nonlinear fractional partial differential equations (FPDEs), which include mixed partial derivatives using Laplace substitution method (LSM). This method is entirely based on the well-known Laplace transform and Adomian polynomial. Looking at several studies, we find that the results obtained from this technique converge well with the exact solutions.

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