Hilfer-Hadamard Volterra Fractional Integro-Differential Equations with Initial Conditions

Authors

  • Abduljawad K. Anwar Department of Mathematics, College of Science, University of Duhok, Duhok-42001, Iraq
  • Shayma Adil Murad Department of Mathematics, College of Science, University of Duhok, Duhok-42001, Iraq

DOI:

https://doi.org/10.52280/raq8wm73

Keywords:

Fractional Differential Equations, Volterra integro-differential equations VIDEs, Hilfer-Hadamard fractional derivativeHH, fixed point theorem, Ulam-Hyers stability (UH

Abstract

 Thefocalpointof thisresearchistheinvestigationofHilfer Hadamard. Volterra fractional integro-differential equations subject to nonlocalinitialconditions.Thestudyaddressestheanalyticalchallenges inestablishingtheexistenceanduniquenessofsolutionsunderappropriateassumptions.Tothisend,Krasnoselskii’sfixedpointtheoremandtheBa nachcontractionprincipleareemployedtoguaranteethewell-posedness oftheproposedsystem. Furthermore, theUlam-HyersandUlam-Hyers Rassiasstabilityconceptsareutilizedtoanalyzethestabilitypropertiesof theobtainedsolutions,offeringdeeperinsightsintotherobustnessofthe model. Finally,severalillustrativeexamplesareprovidedtosubstantiatethetheoreticalresultsandtodemonstratetheaccuracy,applicability,and efficiencyoftheproposedapproach

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Published

2025-12-17

Issue

Vol. 57 No. 7 (2025): PUJM

Section

Articles

License

Copyright (c) 2025 Abduljawad K. Anwar, Shayma Adil Murad

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Hilfer-Hadamard Volterra Fractional Integro-Differential Equations with Initial Conditions. (2025). Punjab University Journal of Mathematics, 57(7), 727-742. https://doi.org/10.52280/raq8wm73