Existence of Mild Solutions To Hilfer Fractional Evolution Equations in Banach Space
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Date
2020
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Publisher
Springer Basel Ag
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GOLD
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Abstract
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.
Description
Sousa, Jose Vanterler/0000-0002-6986-948X
ORCID
Keywords
Hilfer Fractional Evolution Equations, Mild Solution, Existence, Equicontinuous (Alpha, Beta)-Resolvent Operator, Kuratowski Measure Of Non-Compactness, Applications of operator theory to differential and integral equations, mild solution, existence, Kuratowski measure of non-compactness, Hilfer fractional evolution equations, Fractional ordinary differential equations, Nonlinear differential equations in abstract spaces, Nonlocal and multipoint boundary value problems for ordinary differential equations, Ordinary differential equations with impulses, equicontinuous \((\alpha,\beta)\)-resolvent operator
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Sousa, J. Vanterler da C.; Jarad, Fahd; Abdeljawad, Thabet (2021). "Existence of mild solutions to Hilfer fractional evolution equations in Banach space", Annals of Functional Analysis, Vol. 12, No. 1.
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
37
Source
Annals of Functional Analysis
Volume
12
Issue
1
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CrossRef : 3
Scopus : 46
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