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Existence Results for - Hilfer Fractional Integro-Differential Hybrid Boundary Value Problems for Differential Equations and Inclusions

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  • Chanakarn Kiataramkul
  • Sotiris K. Ntouyas
  • Jessada Tariboon

Abstract

In this research work, we study a new class of - Hilfer hybrid fractional integro-differential boundary value problems with nonlocal boundary conditions. Existence results are established for single and multivalued cases, by using suitable fixed-point theorems for the product of two single or multivalued operators. Examples illustrating the main results are also constructed.

Suggested Citation

  • Chanakarn Kiataramkul & Sotiris K. Ntouyas & Jessada Tariboon, 2021. "Existence Results for - Hilfer Fractional Integro-Differential Hybrid Boundary Value Problems for Differential Equations and Inclusions," Advances in Mathematical Physics, Hindawi, vol. 2021, pages 1-12, September.
  • Handle: RePEc:hin:jnlamp:9044313
    DOI: 10.1155/2021/9044313
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    Cited by:

    1. Surang Sitho & Sotiris K. Ntouyas & Chayapat Sudprasert & Jessada Tariboon, 2023. "Integro-Differential Boundary Conditions to the Sequential ψ 1 -Hilfer and ψ 2 -Caputo Fractional Differential Equations," Mathematics, MDPI, vol. 11(4), pages 1-12, February.

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