On a nonlocal nonlinear hybrid fractional boundary value problem

Authors

  • Ahmed ALSAEDI Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia, e-mail: aalsaedi@hotmail.com, https://orcid.org/0000-0003-3452-8922
  • Rabab ALGHAMDI Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia; College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia, e-mail: ralalghamdi@gmail.com, https://orcid.org/0009-0006-5871-6169 https://orcid.org/0009-0006-5871-6169
  • Bashir AHMAD Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia, e-mail: bashirahmad qau@yahoo.com; bahmad@kau.edu.sa, https://orcid.org/0000-0001-5350-2977
  • Sotiris K. NTOUYAS Department of Mathematics, University of Ioannina, 45110, Ioannina, Greece, e-mail: sntouyas@uoi.gr, https://orcid.org/0000-0002-7695-2118 https://orcid.org/0000-0002-7695-2118

DOI:

https://doi.org/10.24193/subbmath.2026.3.4

Keywords:

Fractional hybrid differential equation, multipoint, existence, fixed point, Ulam–Hyers–Rassias stability

Abstract

We investigate the existence criteria and Ulam–Hyers–Rassias stability for solutions of a nonlocal and nonlinear hybrid fractional boundary value problem. A variant of Krasnosel’skiı’s fixed point theorem proposed by Burton is employed to prove the existence of at least one solution of the given problem while the uniqueness of its solutions is established via Banach’s fixed point theorem. Examples illustrating the obtained results are presented.

Mathematics Subject Classification (2010): 34A08, 34A38, 34B15.

Received 06 February 2026; Accepted 29 April 2026.

References

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STUDIA UBB MATHEMATICA, Volume 71 (LXXI), No. 3, September 2026

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2026-09-08

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Volume 71, No. 3, September 2026

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How to Cite

ALSAEDI, A., ALGHAMDI, R., AHMAD, B., & NTOUYAS, S. K. (2026). On a nonlocal nonlinear hybrid fractional boundary value problem. Studia Universitatis Babeș-Bolyai Mathematica, 71(3), 379-398. https://doi.org/10.24193/subbmath.2026.3.4

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