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A New Class of ψ-Caputo Fractional Differential Equations and Inclusion

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  • Wafa Shammakh
  • Hadeel Z. Alzumi
  • Bushra A. AlQahtani
  • Ching-Feng Wen

Abstract

In the present research work, we investigate the existence of a solution for new boundary value problems involving fractional differential equations with ψ-Caputo fractional derivative supplemented with nonlocal multipoint, Riemann–Stieltjes integral and ψ-Riemann–Liouville fractional integral operator of order γ boundary conditions. Also, we study the existence result for the inclusion case. Our results are based on the modern tools of the fixed-point theory. To illustrate our results, we provide examples.

Suggested Citation

  • Wafa Shammakh & Hadeel Z. Alzumi & Bushra A. AlQahtani & Ching-Feng Wen, 2021. "A New Class of ψ-Caputo Fractional Differential Equations and Inclusion," Journal of Mathematics, Hindawi, vol. 2021, pages 1-18, January.
    • Handle: RePEc:hin:jjmath:6677959
    DOI: 10.1155/2021/6677959
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