Existence of Mild Solutions for Hilfer Fractional Neutral Integro-Differential Inclusions via Almost Sectorial Operators
C. S. Varun Bose, R. Udhayakumar
Abstract
This manuscript focuses on the existence of a mild solution Hilfer fractional neutral integro-differential inclusion with almost sectorial operator. By applying the facts related to fractional calculus, semigroup, and Martelli’s fixed point theorem, we prove the primary results. In addition, the application is provided to demonstrate how the major results might be applied.
Topics & Concepts
MathematicsSemigroupFractional calculusFixed-point theoremOperator (biology)Pure mathematicsDifferential (mechanical device)Fixed pointMathematical analysisApplied mathematicsPhysicsTranscription factorGeneChemistryBiochemistryThermodynamicsRepressorNonlinear Differential Equations AnalysisFixed Point Theorems AnalysisOptimization and Variational Analysis