Study of implicit-impulsive differential equations involving Caputo-Fabrizio fractional derivative
Date
2022
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Article
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American Institute of Mathematical Sciences
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Journal Title
Study of implicit-impulsive differential equations involving Caputo-Fabrizio fractional derivative
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Abstract
This article is devoted to investigate a class of non-local initial value problem of implicit-impulsive fractional differential equations (IFDEs) with the participation of the Caputo-Fabrizio fractional derivative (CFFD). By means of KrasnoselskiiÕs fixed-point theorem and BanachÕs contraction principle, the results of existence and uniqueness are obtained. Furthermore, we establish some results of Hyers-Ulam (H-U) and generalized Hyers-Ulam (g-H-U) stability. Finally, an example is provided to demonstrate our results. © 2022 the Author(s),.
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AIMS Mathematics