On class of fractional impulsive hybrid integro-differential equation

Author:

Hannabou Mohamed1,Bouaouid Mohamed2,Hilal Khalid2

Affiliation:

1. Department of Mathematics and Computer Sciences, Sultan Moulay Slimane University, Multidisciplinary faculty, Beni Mellal, Morocco

2. Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Université Sultan Moulay Slimane, Beni Mellal, Morocco

Abstract

In this work, a class of a impulsive hybrid fractional integro-differential equation with hybrid boundary conditions is studied by the generalization of Dhage?s fixed point theorem by three operators. This study ends with on example illustrating the theoretical findings.

Publisher

National Library of Serbia

Reference33 articles.

1. P. Erdös, S. Shelah, Separability properties of almost-disjoint families of sets, Israel J. Math. 12 (1972), 207-214.

2. J. A. Goguen, L-fuzzy sets, J. Math. Anal. Appl. 18 (1967), 145-174.

3. W. Rudin, Real and complex analysis, (3rd edition), McGraw-Hill, New York, 1986.

4. I. Podlubny, Fractional Differential Equations, Academic Press, New York, 1993.

5. K.S. Miller, B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations, Wiley, New York, 1993.

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