Fractional variable order differential equations with impulses: A study on the stability and existence properties

Fractional variable order differential equations with impulses: A study on the stability and existence properties

In this paper, for the first time, we study the existence and uniqueness of solutions of a Caputo variable-order initial value problem (IVP) in the impulsive settings. Our existence results are proved by using two fixed point theorems. The Ulam-Hyers stability of solutions is established for the var...

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Bibliographic Details
Main Authors: Amar Benkerrouche, Sina Etemad, Mohammed Said Souid, Shahram Rezapour, Hijaz Ahmad, Thongchai Botmart
Format: Article
Language:English
Published: AIMS Press 2023-01-01
Series:AIMS Mathematics
Subjects:
impulsive condition
differential equations
fractional variable order
ulam-hyers stability
existence of solutions
fixed point theorem
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023038?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2023038?viewType=HTML

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