Existence of mild solutions for fractional nonautonomous evolution equations of Sobolev type with delay

Existence of mild solutions for fractional nonautonomous evolution equations of Sobolev type with delay

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 studied problem was given based on a...

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Bibliographic Details
Main Authors: Haide Gou, Baolin Li
Format: Article
Language:English
Published: SpringerOpen 2017-10-01
Series:Journal of Inequalities and Applications
Subjects:
evolution equations
mild solutions
Hilfer fractional derivative
noncompact measure
Online Access:http://link.springer.com/article/10.1186/s13660-017-1526-5

Internet

http://link.springer.com/article/10.1186/s13660-017-1526-5

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