Existence of solutions for some functional integrodifferential equations with nonlocal conditions
K. Munusamy, C. Ravichandran, Kottakkaran Sooppy Nisar, Behzad Ghanbari
Abstract
In this paper, we discuss the existence of mild solution of functional integrodifferential equation with nonlocal conditions. To establish this results by using the resolvent operator theory and Sadovskii‐Krasnosel'skii type of fixed point theorem and to show the usefulness and the applicability of our results to a broad class of functional integrodifferential equations, an example is given to illustrate the theory.
Topics & Concepts
ResolventMathematicsFixed-point theoremClass (philosophy)Operator (biology)Mathematical analysisType (biology)Resolvent formalismApplied mathematicsPoint (geometry)Fixed pointBanach spaceFinite-rank operatorComputer scienceGeometryRepressorGeneArtificial intelligenceChemistryBiologyBiochemistryEcologyTranscription factorNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsDifferential Equations and Boundary Problems