Jian, Rong Loh and Chang, Phang
(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 (2).
pp. 16-28.
ISSN 16605454

## 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 |
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Uncontrolled Keywords: | Fredholm fractional integro-differential equation; right-sided Caputo’s fractional derivative; Bernoulli polynomials |

Subjects: | Q Science > QA Mathematics > QA150 Algebra |

Divisions: | Faculty of Applied Science and Technology > Department of Mathematics and Statistic |

Depositing User: | Mr Abdul Rahim Mat Radzuan |

Date Deposited: | 31 Oct 2019 02:39 |

Last Modified: | 31 Oct 2019 02:39 |

URI: | http://eprints.uthm.edu.my/id/eprint/11831 |

Statistic Details: | View Download Statistic |

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