Existence of Mild Solutions for Nonlocal Evolution Equations with the Hilfer Derivatives
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Function Spaces"
DOI: 10.1155/2023/8662375
Abstract: The existence of mild solutions for Hilfer fractional evolution equations with nonlocal conditions in a Banach space is investigated in this manuscript. No assumptions about the compactness of a function or the Lipschitz continuity of… read more here.
Keywords: function; existence mild; evolution equations; solutions nonlocal ... See more keywords
Existence of mild solutions for fractional nonautonomous evolution equations of Sobolev type with delay
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-017-1526-5
Abstract: In this paper, we deal with a class of nonlinear fractional nonautonomous evolution equations with delay by using Hilfer fractional derivative, which generalizes the famous Riemann-Liouville fractional derivative. The definition of mild solutions for the… read more here.
Keywords: nonautonomous evolution; evolution equations; mild solutions; existence mild ... See more keywords
Existence of Mild Solutions for Hilfer Fractional Evolution Equations with Almost Sectorial Operators
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DOI: 10.3390/axioms11040144
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… read more here.
Keywords: existence mild; hilfer fractional; evolution equations; solutions hilfer ... See more keywords