Ulam-Hyers stability Analysis of Caputo fractional order derivative

Autori

  • 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

##semicolon##

Ulam-Hyers stability##common.commaListSeparator## aputo derivative;##common.commaListSeparator## yapunov function;##common.commaListSeparator## fractional differential equation##common.commaListSeparator## singular kernel##common.commaListSeparator## non-local conditions

Abstrakt

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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Publikované

2026-03-18

##submission.howToCite##

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). Cit z https://tnsmb.org/journal/index.php/ijmam/article/view/282

Číslo

Diel 8 Číslo 2 (2025): Volume 8, No. 2, 2025

Sekcia

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