Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8253566 | Chaos, Solitons & Fractals | 2018 | 12 Pages |
Abstract
This paper is concerned with the fractional differential equations of Sobolev type with boundary conditions in a Banach space. With the help of properties of Hilfer fractional calculus, the theory of propagation family as well as the theory of the measure of noncompactness and the fixed point methods, we obtain the existence results of mild solutions for Sobolev type fractional evolution differential equations involving Hilfer fractional derivative. Finally, two examples are presented to illustrate the main result.
Related Topics
Physical Sciences and Engineering
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Statistical and Nonlinear Physics
Authors
Haide Gou, Baolin Li,