Initial value problems for Caputo-Fabrizio implicit fractional differential equations in b-metric spaces

Authors

  • S. Abbas University of Saïda-Dr. Moulay Tahar, Algeria
  • M. Benchohra Djillali Liabes University of Sidi Bel-Abbèes, Algeria 
  • S. Krim University of Saïda-Dr. Moulay Tahar, Algeria

DOI:

https://doi.org/10.31926/but.mif.2021.1.63.1.1

Keywords:

Fractional diferential equation, mixed Caputo-Fabrizio integral of fractional order, Caputo-Fabrizio fractional derivative, solution, initial conditions, fixed point

Abstract

This article deals with some existence results for some classes of Caputo-Fabrizio implicit fractional dierential equations in b-metric spaces with initial conditions. The results are based on some xed point theorems. We illustrate our results by some examples in the last section.

Author Biographies

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

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

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

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

S. Krim, University of Saïda-Dr. Moulay Tahar, Algeria

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

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Published

2021-07-08

Issue

Vol. 1(63) No. 1 (2021)

Section

MATHEMATICS