Initial-value problems for nonlinear hybrid implicit Caputo fractional differential equations

Abdelouaheb Ardjouni; Ahcene Djoudi

doi:10.26637/MJM0702/0026

Abstract

In this study, we use the contraction mapping principle to obtain the existence, interval of existence and uniqueness of solutions for nonlinear hybrid implicit Caputo fractional differential equations. We also use the generalization of Gronwall’s inequality to show the estimate of the solutions.

Keywords:

Implicit fractional differential equations, Caputo fractional derivatives, fixed point theorems, existence, uniqueness

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

Abdelouaheb Ardjouni Department of Mathematics and Informatics, University of Souk Ahras, P.O. Box 1553, Souk Ahras, 41000, Algeria. https://orcid.org/0000-0003-0216-1265
Ahcene Djoudi Faculty of Sciences, Department of Mathematics, University of Annaba, P.O. Box 12, Annaba 23000, Algeria. https://orcid.org/0000-0002-8221-9545

Pages: 314-317
Date Published: 01-04-2019
Vol. 7 No. 02 (2019): Malaya Journal of Matematik (MJM)

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