Journal
AIMS MATHEMATICS
Volume 6, Issue 3, Pages 2932-2946Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/math.2021177
Keywords
Fractional differential equation; Caputo-Fabrizio integral of fractional order; Caputo-Fabrizio fractional derivative; instantaneous impulse; measure of noncompactness; fixed point
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Funding
- Agencia Estatal de Investigacion (AEI) of Spain
- European Fund for Regional Development (FEDER) [MTM2016-75140-P]
- Xunta de Galicia [ED431C 2019/02]
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This paper discusses the existence of solutions for Caputo-Fabrizio fractional differential equations with instantaneous impulses, using Schauder's and Monch's fixed point theorems and the technique of the measure of noncompactness. Two illustrative examples are presented in the last section.
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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