A new exploration on existence of Sobolev‐type Hilfer fractional neutral integro‐differential equations with infinite delay
V. Vijayakumar, R. Udhayakumar
Abstract
Abstract This article is primarily focusing on the existence of Sobolev‐type Hilfer fractional neutral integro‐differential systems via measure of noncompactness. We study our primary outcomes by employing fractional calculus, measure of noncompactness and fixed point technique. First, we discuss the existence of mild solution for the fractional evolution system. Then, we extend our results to discuss the system with nonlocal conditions. Finally, we provide theoretical and practical applications to illustrate the obtained theory.
Topics & Concepts
MathematicsSobolev spaceFractional calculusMeasure (data warehouse)Type (biology)Fixed-point theoremApplied mathematicsMathematical analysisDifferential (mechanical device)Point (geometry)Differential equationComputer scienceGeometryPhysicsBiologyEcologyDatabaseThermodynamicsNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsDifferential Equations and Boundary Problems