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

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  • Zihan Gao
  • Tianlin Hu
  • Huihui Pang

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.

Suggested Citation

  • Zihan Gao & Tianlin Hu & Huihui Pang, 2020. "Existence and Uniqueness Theorems for a Fractional Differential Equation with Impulsive Effect under Band‐Like Integral Boundary Conditions," Advances in Mathematical Physics, John Wiley & Sons, vol. 2020(1).
    • Handle: RePEc:wly:jnlamp:v:2020:y:2020:i:1:n:6360128
    DOI: 10.1155/2020/6360128
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    References listed on IDEAS

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    1. Tongling Lv & Huihui Pang & Limei Cao, 2018. "Existence Results for Fractional Differential Equations with Multistrip Riemann–Stieltjes Integral Boundary Conditions," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-8, April.
    2. Nyamoradi, Nemat & Rodríguez-López, Rosana, 2015. "On boundary value problems for impulsive fractional differential equations," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 874-892.
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    Cited by:

    1. HuiChol Choe & SuRim Han & SunAe Pak & GwangHyok Kim & GyongGuk Kim & DanOh U, 2026. "On the Optimal Control Existence for Multi-Term Multi-Order Fractional Differential Equations with Impulsive Conditions," Journal of Optimization Theory and Applications, Springer, vol. 208(1), pages 1-24, January.

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