Numerical solution of fredholm fractional integro-differential equation with right-sided caputo’s derivative using bernoulli polynomials operational matrix of fractional derivative

Loh, Jian Rong and Phang, Chang (2019) Numerical solution of fredholm fractional integro-differential equation with right-sided caputo’s derivative using bernoulli polynomials operational matrix of fractional derivative. Mediterranean Journal Of Mathematics, 16 (28). pp. 1-25. ISSN 1660-5446

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Official URL: https://doi.org/10.1007/s00009-019-1300-7

Abstract

In this article, fractional integro-differential equation (FIDE) of Fredholm type involving right-sided Caputo’s fractional derivative with multi-fractional orders is considered. Analytical expressions of the expansion coefficient ck by Bernoulli polynomials approximation have been derived for both approximation of single- and double-variable function. The Bernoulli polynomials operational matrix of right-sided Caputo’s fractional derivative Pα −;B is derived. By approximating each term in the Fredholm FIDE with right-sided Caputo’s fractional derivative in terms of Bernoulli polynomials basis, the equation is reduced to a system of linear algebraic equation of the unknown coefficients ck. Solving for the coefficients produces the approximate solution for this special type of FIDE.

Item Type:	Article
Uncontrolled Keywords:	Fredholm fractional integro-differential equation; Right-sided Caputo’s fractional derivative; Bernoulli polynomials.
Subjects:	Q Science > QA Mathematics > QA299.6-433 Analysis
Divisions:	Faculty of Applied Science and Technology > Department of Mathematics and Statistics
Depositing User:	Miss Afiqah Faiqah Mohd Hafiz
Date Deposited:	28 Nov 2021 07:24
Last Modified:	28 Nov 2021 07:24
URI:	http://eprints.uthm.edu.my/id/eprint/4194

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