Initial value problems for nonlinear Caputo fractional relaxation differential equations

Document Type : Original Article

Authors

Adel Lachouri ¹

Abdelouaheb Ardjouni ²

Ahcene Djoudi ³

¹ Department of Mathematics, University of Annaba, P.O. Box 12, Annaba 23000, Algeria

² Department of Mathematics and Informatics, University of Souk Ahras, P.O. Box 1553, Souk Ahras, 41000, Algeria.

³ Department of Mathematics, University of Annaba, P.O. Box 12, Annaba, 23000, Algeria

10.22034/kjm.2021.229343.1817

Abstract

The main purpose of this paper is to establish the existence and uniqueness of solutions for a class of fractional relaxation differential equations. Existence and uniqueness results are based on the Krasnoselskii fixed point theorem and the Banach contraction mapping principle. Finally, an example is given to illustrate this work.

Keywords

Fixed points

fractional relaxation differential equations

Mittag-Leffler

existence

uniqueness

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