Caputo-Fabrizio fractional differential equations with instantaneous impulses

Saïd Abbas; Mouffak Benchohra; Juan J. Nieto; Saïd Abbas; Mouffak Benchohra; Juan J. Nieto

doi:10.3934/math.2021177

AIMS Mathematics

2021, Volume 6, Issue 3: 2932-2946. doi: 10.3934/math.2021177

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Research article

Caputo-Fabrizio fractional differential equations with instantaneous impulses

1.
Department of Mathematics, University of Saïda-Dr. Moulay Tahar, P.O. Box 138, EN-Nasr, 20000 Saïda, Algeria
2.
Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès, P.O. Box 89, Sidi Bel-Abbès 22000, Algeria
3.
Departamento de Estatistica, Análise Matemática e Optimización, Instituto de Matemáticas, Universidade de Santiago de Compostela, Santiago de Compostela, Spain

Received: 22 November 2020 Accepted: 05 January 2021 Published: 08 January 2021
MSC : 26A33, 34A37, 34G20

The subjuct of this paper is the existence of solutions for a class of Caputo-Fabrizio fractional differential equations with instantaneous impulses. Our results are based on Schauder's and Monch's fixed point theorems and the technique of the measure of noncompactness. Two illustrative examples are the subject of the last section.
Citation: Saïd Abbas, Mouffak Benchohra, Juan J. Nieto. Caputo-Fabrizio fractional differential equations with instantaneous impulses[J]. AIMS Mathematics, 2021, 6(3): 2932-2946. doi: 10.3934/math.2021177

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Abstract

The subjuct of this paper is the existence of solutions for a class of Caputo-Fabrizio fractional differential equations with instantaneous impulses. Our results are based on Schauder's and Monch's fixed point theorems and the technique of the measure of noncompactness. Two illustrative examples are the subject of the last section.

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