Analytical investigation of a boundary value problem for functional differential inclusion

Authors

  • Sh.M. Al-Issa Lebanese International University, Saida, Lebanon; International University of Beirut, Beirut, Lebanon https://orcid.org/0000-0002-1488-0817
  • I.H. Kaddoura Lebanese International University, Saida, Lebanon; International University of Beirut, Beirut, Lebanon https://orcid.org/0000-0003-3627-6941
  • H.M. Hamzae Lebanese International University, Saida, Lebanon
https://doi.org/10.15330/cmp.17.2.661-678

Keywords:

functional integro-differential inclusion, fixed point theorem, Riemann-Stieltjes integral boundary condition, infinite-point boundary condition
Published online: 2025-12-28

Abstract

This paper investigates the existence of mild solutions for an initial value problem involving fractional-order differential inclusions with nonlocal boundary conditions, specifically infinite-point or Riemann-Stieltjes integral conditions. We establish sufficient conditions for the uniqueness of the solution and examine its continuous dependence on the given data. To demonstrate the practical applicability of our findings, we conclude with two illustrative examples.

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How to Cite
(1)
Al-Issa, S.; Kaddoura, I.; Hamzae, H. Analytical Investigation of a Boundary Value Problem for Functional Differential Inclusion. Carpathian Math. Publ. 2025, 17, 661-678.