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Existence Results for Impulsive Fractional Integrodifferential Equations Involving Integral Boundary Conditions

Author

Listed:
  • Kulandhaivel Karthikeyan
  • Jiraporn Reunsumrit
  • Panjaiyan Karthikeyan
  • Sadhasivam Poornima
  • Dhatchinamoorthy Tamizharasan
  • Thanin Sitthiwirattham
  • Shabir Ahmad

Abstract

This research paper is devoted to investigating the existence results for impulsive fractional integrodifferential equations in the form of Atangana - Baleanu - Caputo (ABC) fractional derivative, by using Gronwall–Bellman inequality and Krasnoselskii’s fixed point theorem to study the existence and uniqueness of the problem with integral boundary conditions. At the end, the examples are illustrated to verify results.

Suggested Citation

  • Kulandhaivel Karthikeyan & Jiraporn Reunsumrit & Panjaiyan Karthikeyan & Sadhasivam Poornima & Dhatchinamoorthy Tamizharasan & Thanin Sitthiwirattham & Shabir Ahmad, 2022. "Existence Results for Impulsive Fractional Integrodifferential Equations Involving Integral Boundary Conditions," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-12, September.
  • Handle: RePEc:hin:jnlmpe:6599849
    DOI: 10.1155/2022/6599849
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