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Existence Results for ψ‐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 ψ‐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 ψ‐Hilfer Fractional Integro‐Differential Hybrid Boundary Value Problems for Differential Equations and Inclusions," Advances in Mathematical Physics, John Wiley & Sons, vol. 2021(1).
    • Handle: RePEc:wly:jnlamp:v:2021:y:2021:i:1:n:9044313
    DOI: 10.1155/2021/9044313
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    References listed on IDEAS

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    1. Bashir Ahmad & Sotiris K. Ntouyas, 2014. "An Existence Theorem for Fractional Hybrid Differential Inclusions of Hadamard Type with Dirichlet Boundary Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Bashir Ahmad & Sotiris K. Ntouyas, 2014. "An Existence Theorem for Fractional Hybrid Differential Inclusions of Hadamard Type with Dirichlet Boundary Conditions," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, June.
    3. Bashir Ahmad & Ahmed Alsaedi & Sotiris K. Ntouyas & Jessada Tariboon, 2017. "Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities," Springer Books, Springer, number 978-3-319-52141-1, March.
    4. Idris Ahmed & Poom Kumam & Kamal Shah & Piyachat Borisut & Kanokwan Sitthithakerngkiet & Musa Ahmed Demba, 2020. "Stability Results for Implicit Fractional Pantograph Differential Equations via ϕ -Hilfer Fractional Derivative with a Nonlocal Riemann-Liouville Fractional Integral Condition," Mathematics, MDPI, vol. 8(1), pages 1-21, January.
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