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AIMS Mathematics

2026, Volume 11, Issue 4: 11595-11616. doi: 10.3934/math.2026478
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On Ulam stability and analysis of Atangana-Baleanu-Caputo and Caputo-Fabrizio-impulsive neutral fractional integro-differential equations

  • 1.
    Mathematics Department, College of Science, Jouf University, P.O. Box 2014, Sakaka, KSA
  • 2.
    Department of Mathematics, Nandha Engineering College, Erode-52, Tamilnadu, India
  • Published: 27 April 2026

  • This article focuses on the Ulam-Hyers stability (U-HS) of impulsive neutral fractional integro-differential equations (INFIDEs) involving the Atangana-Baleanu-Caputo (ABC) and Caputo-Fabrizio (C-F) fractional derivatives (FDs) in a Banach space. The Banach contraction mapping principle (BCMP) and Krasnoselskii's fixed point theorem (KFPT) are used to prove the existence and uniqueness of solutions (E-US). To highlight the usefulness of the theoretical insights, carefully crafted examples are introduced, enhancing and building upon prior scholarly contributions.

    Citation: El-sayed El-hady, K. Venkatachalam, Entesar Aljarallah. On Ulam stability and analysis of Atangana-Baleanu-Caputo and Caputo-Fabrizio-impulsive neutral fractional integro-differential equations[J]. AIMS Mathematics, 2026, 11(4): 11595-11616. doi: 10.3934/math.2026478

    Related Papers:

  • This article focuses on the Ulam-Hyers stability (U-HS) of impulsive neutral fractional integro-differential equations (INFIDEs) involving the Atangana-Baleanu-Caputo (ABC) and Caputo-Fabrizio (C-F) fractional derivatives (FDs) in a Banach space. The Banach contraction mapping principle (BCMP) and Krasnoselskii's fixed point theorem (KFPT) are used to prove the existence and uniqueness of solutions (E-US). To highlight the usefulness of the theoretical insights, carefully crafted examples are introduced, enhancing and building upon prior scholarly contributions.



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  • © 2026 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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