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

M. Moumen Bekkouche; H. Guebbai; M. Kurulay; S. Benmahmoud

doi:10.1007/s12215-020-00557-8

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

M. Moumen Bekkouche^*, H. Guebbai, M. Kurulay, S. Benmahmoud

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1277-1288
Number of pages	12
Journal	Rendiconti del Circolo Matematico di Palermo
Volume	70
Issue number	3
DOIs	https://doi.org/10.1007/s12215-020-00557-8
Publication status	Published - Dec 2021
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2020, Springer-Verlag Italia S.r.l., part of Springer Nature.

Keywords

Caputo–Fabrizio fractional derivative
Fractional boundary value problem
Fractional integral
Green’s function

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10.1007/s12215-020-00557-8

Cite this

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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.",

keywords = "Caputo–Fabrizio fractional derivative, Fractional boundary value problem, Fractional integral, Green{\textquoteright}s function",

author = "\{Moumen Bekkouche\}, M. and H. Guebbai and M. Kurulay and S. Benmahmoud",

note = "Publisher Copyright: {\textcopyright} 2020, Springer-Verlag Italia S.r.l., part of Springer Nature.",

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AU - Moumen Bekkouche, M.

AU - Guebbai, H.

AU - Kurulay, M.

AU - Benmahmoud, S.

PY - 2021/12

Y1 - 2021/12

N2 - 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.

AB - 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.

KW - Caputo–Fabrizio fractional derivative

KW - Fractional boundary value problem

KW - Fractional integral

KW - Green’s function

UR - https://www.scopus.com/pages/publications/85090964436

U2 - 10.1007/s12215-020-00557-8

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M3 - Article

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JF - Rendiconti del Circolo Matematico di Palermo

IS - 3

ER -

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

Abstract

Bibliographical note

Keywords

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