4.3 Article

Existence of mild solutions to Hilfer fractional evolution equations in Banach space

Journal

ANNALS OF FUNCTIONAL ANALYSIS
Volume 12, Issue 1, Pages -

Publisher

SPRINGER BASEL AG
DOI: 10.1007/s43034-020-00095-5

Keywords

Hilfer fractional evolution equations; Mild solution; Existence; Equicontinuous (alpha, beta)-resolvent operator; Kuratowski measure of non-compactness

Funding

  1. [88882.305834/2018-01]

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In this paper, we investigate the existence of mild solutions to semilinear evolution fractional differential equations with non-instantaneous impulses, using the concepts of equicontinuous (alpha,beta)-resolvent operator function P-alpha,P-beta(t) and Kuratowski measure of non-compactness in Banach space Omega.

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