Study on the mild solution of Sobolev type Hilfer fractional evolution equations with boundary conditions

Haide Gou and Baolin Li

Chaos, Solitons & Fractals, 2018, vol. 112, issue C, 168-179

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.

Keywords: Evolution equations; Mild solutions; Hilfer fractional derivative; Noncompact measure (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:112:y:2018:i:c:p:168-179

DOI: 10.1016/j.chaos.2018.05.007

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