Addressing impulsive fractional integro-differential equations with Caputo-Fabrizio via monotone iterative technique in Banach spaces-Reference-Cited by-同舟云学术

Addressing impulsive fractional integro-differential equations with Caputo-Fabrizio via monotone iterative technique in Banach spaces

Published:2023 Issue:14 Volume:37 Page:4761-4770
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Benyoub Mohammed¹,Abbas Mohamed²

Affiliation:

1. Department of mathematics, Ecole normale supérieure, Taleb Abderrahmane de Laghouat, Algeria

2. Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, Egypt

Abstract

In this paper, we investigate the existence of solutions for initial value problem of the impulsive integro-differential for fractional differential equations involving a Caputo-Fabrizio fractional derivative of order r ? (0, 1) in Banach spaces. Under some monotonicity conditions and the noncompactness measure condition of nonlinearity functions. We obtain the existence of extremal solutions between lower and upper solutions.

Publisher

National Library of Serbia

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