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

Text
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## 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 > 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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