Caputo-Fabrizio fractional differential equations in Frechet spaces

Authors

  • S. Abbas University of Säda-Dr. Moulay Tahar, Algeria
  • M. Benchohra Djillali Liabes University of Sidi Bel-Abbès, Algeria
  • H. Gorine University of Saïda-Dr. Moulay Tahar, Algeria

DOI:

https://doi.org/10.31926/but.mif.2020.13.62.2.1

Keywords:

Fractional differential equation, Caputo-Fabrizio integral of fractional order, Caputo-Fabrizio fractional derivative, Fréchet space, fixed point

Abstract

This paper deals with some existence and uniqueness of solutions for a class of functional Caputo-Fabrizio fractional differential equations. Some applications are made of a generalization of the classical Darbo fixed point theorem for Fréchet spaces associate with the concept of measure of noncompactness. The last section illustrates our results with some examples.

Author Biographies

S. Abbas, University of Säda-Dr. Moulay Tahar, Algeria

Department of Mathematics, P.O. Box 138, EN-Nasr, 20000 Saïda

M. Benchohra, Djillali Liabes University of Sidi Bel-Abbès, Algeria

Laboratory of Mathematics, P.O. Box 89, Sidi Bel-Abbès 22000 

H. Gorine, University of Saïda-Dr. Moulay Tahar, Algeria

Laboratory of Mathematics, P.O. Box 138, EN-Nasr, 20000 Saïda

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Published

2021-01-22

Issue

Vol. 13(62) No. 2 (2020)

Section

MATHEMATICS