Existence of Boundary Value Problems for Impulsive Fractional Differential Equations with a Parameter

Jin You; Mengrui Xu; Shurong Sun

doi:10.1007/s42967-021-00145-2

Communications on Applied Mathematics and Computation ›› 2021, Vol. 3 ›› Issue (4) : 585-604. DOI: 10.1007/s42967-021-00145-2

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Existence of Boundary Value Problems for Impulsive Fractional Differential Equations with a Parameter

Jin You¹ ,
Mengrui Xu¹ ,
Shurong Sun¹^,c

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Abstract

We investigate a class of boundary value problems for nonlinear impulsive fractional differential equations with a parameter. By the deduction of Altman’s theorem and Krasnoselskii’s fixed point theorem, the existence of this problem is proved. Examples are given to illustrate the effectiveness of our results.

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Jin You, Mengrui Xu, Shurong Sun. Existence of Boundary Value Problems for Impulsive Fractional Differential Equations with a Parameter. Communications on Applied Mathematics and Computation, 2021, 3(4): 585‒604 https://doi.org/10.1007/s42967-021-00145-2