Implicit Impulsive Conformable Fractional Differential Equations with Infinite Delay

Authors

Abdelkrim Salim Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes,P.O. Box 89, Sidi Bel-Abbes 22000, Algeria; Faculty of Technology, Hassiba Benbouali University of Chlef, P.O. Box 151 Chlef 02000, Algeria
Salim Krim Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes,P.O. Box 89, Sidi Bel-Abbes 22000, Algeria; Ecole Normale Supérieure D’Oran, Ahmed Ammour B.P 1063 Saim Mohamed Oran 31003, Algeria
Saïd Abbas Department of Electronics, University of Saïda–Dr. Moulay Tahar, P.O. Box 138, EN-Nasr, 20000 Saïda, Algeria
Mouffak Benchohra Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes,P.O. Box 89, Sidi Bel-Abbes 22000, Algeria

Keywords:

Conformable fractional integral, conformable fractional order derivative, infinite delay, Schaefer's fixed point theorem, nonlocal conditions

Abstract

This paper deals with some existence results for a class of conformable implicit fractional differential equations with instantaneous impulses infinite delay. The results are based on Schaefer's fixed point theorem. We illustrate our results by an example in the last section.

References

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