Approximate solution of fractional differential equations using Shannon wavelet operational matrix method
by Javid Iqbal; Rustam Abass; Puneet Kumar
International Journal of Computing Science and Mathematics (IJCSM), Vol. 13, No. 3, 2021

Abstract: Many physical problems are frequently governed by fractional differential equations and obtaining the solution of these equations have been the subject of a lot of investigations in recent years. The aim of this paper is to propose a novel and effective method based on Shannon wavelet operational matrices of fractional-order integration. The theory of Shannon wavelets and its properties are first presented. Block Pulse functions and collocation method are employed to derive a general procedure in constructing these operational matrices. The main peculiarity of the proposed technique is that it condenses the given problem into a system of algebraic equations that can be easily solved by MATLAB package. Furthermore, a designed scheme is applied to numerical examples to analyse its applicability, reliability, and effectiveness.

Online publication date: Mon, 02-Aug-2021

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