Existence and monotonicity of positive solutions for hybrid Caputo-Hadamard fractional integro-differential equations

Abdelouaheb Ardjouni; Moussa  Haoues

doi:10.26637/mjm904/001

Abstract

The purpose of this paper is to present new results on the existence, uniqueness and monotonicity of positive solutions for hybrid Caputo-Hadamard fractional integro-differential equations. Our results are based on the method of upper and lower solutions, and the Dhage and Banach fixed point theorems. Two examples are given to illustrate our obtained results.

Keywords:

Fractional integro-differential equations, fixed point theorems, existence, positivity, monotonicity

Mathematics Subject Classification:

40A05 , 40A99 , 46A70 , 46A99

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
Moussa Haoues Laboratory of Informatics and Mathematics, Department of Mathematics and Informatics, University of Souk-Ahras, P.O. Box 1553, Souk-Ahras, 41000, Algeria. https://orcid.org/0000-0002-0556-9293

Pages: 168-180
Date Published: 01-10-2021
Vol. 9 No. 04 (2021): Malaya Journal of Matematik (MJM)

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