A note on the existence of Hilfer fractional differential inclusions with almost sectorial operators
C. S. Varun Bose, R. Udhayakumar
Abstract
In this paper, we mainly focus on the existence of the mild solution for the Hilfer fractional differential inclusions with almost sectorial operators. By using the results on the fractional calculus, sectorial operators, semigroup theory, and Dhage's fixed point theorem, we prove the primary results. Finally, an example is presented to demonstrate the theory obtained.
Topics & Concepts
MathematicsSemigroupFractional calculusFixed-point theoremFocus (optics)Fixed pointDifferential inclusionPure mathematicsMathematical analysisCalculus (dental)DentistryOpticsPhysicsMedicineNonlinear Differential Equations AnalysisFixed Point Theorems AnalysisFractional Differential Equations Solutions