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Analysis of Existence and Stability Results for Impulsive Fractional Integro-Differential Equations Involving the Atangana–Baleanu–Caputo Derivative under Integral Boundary Conditions

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  • Jiraporn Reunsumrit
  • Panjaiyan Karthikeyann
  • Sadhasivam Poornima
  • Kulandhaivel Karthikeyan
  • Thanin Sitthiwirattham
  • Amin Jajarmi

Abstract

In this study, we consider the existence results of solutions of impulsive Atangana–Baleanu–Caputo ABC fractional integro-differential equations with integral boundary conditions. Krasnoselskii’s fixed-point theorem and the Banach contraction principle are used to prove the existence and uniqueness of results. Moreover, we also establish Hyers–Ulam stability for this problem. An example is also presented at the end.

Suggested Citation

  • Jiraporn Reunsumrit & Panjaiyan Karthikeyann & Sadhasivam Poornima & Kulandhaivel Karthikeyan & Thanin Sitthiwirattham & Amin Jajarmi, 2022. "Analysis of Existence and Stability Results for Impulsive Fractional Integro-Differential Equations Involving the Atangana–Baleanu–Caputo Derivative under Integral Boundary Conditions," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-18, December.
    • Handle: RePEc:hin:jnlmpe:5449680
    DOI: 10.1155/2022/5449680
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