Existence of Mild Solutions To Hilfer Fractional Evolution Equations in Banach Space
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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.
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Sousa, Jose Vanterler/0000-0002-6986-948X
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Keywords
Hilfer Fractional Evolution Equations, Mild Solution, Existence, Equicontinuous (Alpha, Beta)-Resolvent Operator, Kuratowski Measure Of Non-Compactness, Equicontinuous (α, β) -Resolvent Operator, 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.
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37
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12
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