Ulam-Hyers stability Analysis of Caputo fractional order derivative

Authors

  • J.E. Ante kwa Ibom State University, Ikot Akpaden
  • U.D. Akpan Department of Mathematics, Faculty of Physical Sciences, Akwa Ibom State University, Ikot Akpaden, Nigeria
  • E. Udofia Department of Mathematics, Faculty of Physical Sciences, Akwa Ibom State University, Ikot Akpaden, Nigeria
  • M.I. Sampson Department of Mathematics, Faculty of Physical Sciences, Akwa Ibom State University, Ikot Akpaden, Nigeria
  • O.G. Udoaka Department of Mathematics, Faculty of Physical Sciences, Akwa Ibom State University, Ikot Akpaden, Nigeria
  • W.K. Udogworen Department of Mathematics, Faculty of Physical Sciences, Akwa Ibom State University, Ikot Akpaden, Nigeria

Keywords:

Ulam-Hyers stability, aputo derivative;, yapunov function;, fractional differential equation, singular kernel, non-local conditions

Abstract

This study investigates the Ulam-Hyers stability of fractional derivatives for a given fractional-order system. As a theoretical foundation, fundamental definitions of various fractional derivatives are introduced. By applying the Gronwall inequality, sufficient conditions ensuring stability in the sense of Ulam-Hyers are rigorously established. The derived results constitute notable extensions
and refinements of existing findings in the literature.

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Published

2026-03-18

How to Cite

Ante, J. ., Akpan, U. ., Udofia, E. ., Sampson, M. ., Udoaka, O. ., & Udogworen, W. . (2026). Ulam-Hyers stability Analysis of Caputo fractional order derivative. International Journal of Mathematical Analysis and Modelling, 8(2). Retrieved from https://tnsmb.org/journal/index.php/ijmam/article/view/282

Issue

Vol. 8 No. 2 (2025): Volume 8, No. 2, 2025

Section

Articles

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