Existence and Uniqueness Theorems for a Fractional Differential Equation with Impulsive Effect under Band‐Like Integral Boundary Conditions

Zihan Gao, Tianlin Hu and Huihui Pang

Advances in Mathematical Physics, 2020, vol. 2020, issue 1

Abstract: In this paper, we consider a class of nonlinear Caputo fractional differential equations with impulsive effect under multiple band‐like integral boundary conditions. By constructing an available completely continuous operator, we establish some criteria for judging the existence and uniqueness of solutions. Finally, an example is presented to demonstrate our main results.

Date: 2020
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https://doi.org/10.1155/2020/6360128

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2020:y:2020:i:1:n:6360128

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