Existence of Mild Solutions for Hilfer Fractional Evolution Equations with Almost Sectorial Operators
Mian Zhou, Chengfu Li, Yong Zhou
Abstract
In this paper, we obtain new sufficient conditions of the existence of mild solutions for Hilfer fractional evolution equations in the cases that the semigroup associated with an almost sectorial operator is compact as well as noncompact. Our results improve and extend some recent results in references.
Topics & Concepts
SemigroupMathematicsEvolution equationOperator (biology)Applied mathematicsFractional calculusMathematical analysisRepressorBiochemistryTranscription factorChemistryGeneNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsNonlinear Partial Differential Equations