A new fractional integral associated with the Caputo-Fabrizio fractional derivative

Moumen Bekkouche, M.; Guebbai, H.; KURULAY, Muhammet; Benmahmoud, S.

doi:10.1007/s12215-020-00557-8

A new fractional integral associated with the Caputo-Fabrizio fractional derivative

Moumen Bekkouche M., Guebbai H., KURULAY M., Benmahmoud S.

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, vol.70, no.3, pp.1277-1288, 2021 (ESCI, Scopus)

Publication Type: Article / Article
Volume: 70 Issue: 3
Publication Date: 2021
Doi Number: 10.1007/s12215-020-00557-8
Journal Name: RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO
Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, DIALNET
Page Numbers: pp.1277-1288
Keywords: Caputo-Fabrizio fractional derivative, Fractional integral, Fractional boundary value problem, Green's function
Yıldız Technical University Affiliated: Yes

Abstract

In this article, we introduce a new fractional integral (FI) associated with the Caputo-Fabrizio fractional derivative. As a theoretical example, we have solved a fractional boundary value problem (BVP) using the proposed FI. A Matlab script to solve this BVP is also provided.