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Existence of Mild Solutions for Hilfer Fractional Evolution Equations with Almost Sectorial Operators

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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… Click to show full 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.

Keywords: existence mild; hilfer fractional; evolution equations; solutions hilfer; fractional evolution; mild solutions

Journal Title: Axioms
Year Published: 2022

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