ResolventOperatorApproachtotheExistenceand UniquenessofMildSolutionsforFractional Integro-DelayDifferentialEquationswithNonlocal BoundaryTerms

Zenodo (CERN European Organization for Nuclear Research) 2026 Open access

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Authors: Dr.P.Umadevi M.Vinitha
DOI: 10.5281/zenodo.18800820
Cited by: 0

Abstract

Inmanydisciplines, includingphysics, biology, andengineering, fractional differentialequationswithdelayhavebecomeeffectivetoolsforsimulatingreal-worldphenomena.Thesesystemsarerichanddifficulttoanalyzebecausetheyfrequentlyinvolvememoryandinheritedcharacteristics.Themainobjectiveofthisworktoexaminetheexistenceanduniquenessof solutionstoaclassofnonlinear fractional integro-delaydifferential equations inBanachspaceswithnonlocalboundaryconditions is theprimarygoal of thiswork. Wecreateanappropriatecompletemetricspacethatisdesignedtocapturethesystem’sdelayedbehaviorinordertohandlethe issuesbroughtaboutbythetimedelay.Ourmethodisbasedontheresolventoperatortechniqueanddifferentiabilityproperties, incontrasttomanyotherworksthatrelyonthetheoryofC0-semigroupsandrelatedcharacteristicsolutionoperators.TheKrasnoselskii fixedpoint theoremisusedtoestablishthe existenceof solutions andalsouniqueness isprovedusingtheBanachcontractionmappingprinciple. Finally,weprovidethenumericalexampleforthegivensystemofequations.

Fields of Study & Subjects

Nonlinear Differential Equations Analysis Fuzzy Systems and Optimization Differential Equations and Boundary Problems

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
27 February 2026
Language
EN