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, cilt.70, sa.3, ss.1277-1288, 2021 (ESCI, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 70 Sayı: 3
Basım Tarihi: 2021
Doi Numarası: 10.1007/s12215-020-00557-8
Dergi Adı: RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, DIALNET
Sayfa Sayıları: ss.1277-1288
Anahtar Kelimeler: Caputo-Fabrizio fractional derivative, Fractional integral, Fractional boundary value problem, Green's function
Yıldız Teknik Üniversitesi Adresli: Evet

Özet

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.