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

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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.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Exact Sciences, El Oued University, 39000, El Oued, Algeria

    M. Moumen Bekkouche

  2. Laboratoire des Mathématiques Appliquées et Modélisation, Université 08 Mai 1945, 24000, Guelma, Algeria

    M. Moumen Bekkouche & H. Guebbai

  3. Department of Mathematical Engineering, Yildiz Technical University, 34210, Davutpasa-Istanbul, Turkey

    M. Kurulay

  4. Electrical Engineering Laboratory (LGE), Department of Electronics Engineering, M’sila University, M’sila, Algeria

    S. Benmahmoud

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  1. M. Moumen Bekkouche
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  2. H. Guebbai
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  3. M. Kurulay
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  4. S. Benmahmoud
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Correspondence to M. Moumen Bekkouche.

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Moumen Bekkouche, M., Guebbai, H., Kurulay, M. et al. A new fractional integral associated with the Caputo–Fabrizio fractional derivative. Rend. Circ. Mat. Palermo, II. Ser 70, 1277–1288 (2021). https://doi.org/10.1007/s12215-020-00557-8

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  • DOI: https://doi.org/10.1007/s12215-020-00557-8

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