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

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.

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Bibliographic Details
Published in:Rendiconti del Circolo matematico di Palermo 2021-12, Vol.70 (3), p.1277-1288
Main Authors: Moumen Bekkouche, M., Guebbai, H., Kurulay, M., Benmahmoud, S.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Boundary value problems
Derivatives
Fractional calculus
Geometry
Integrals
Mathematical analysis
Mathematics
Mathematics and Statistics
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Description
Summary: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.
ISSN:0009-725X
1973-4409
DOI:10.1007/s12215-020-00557-8