Geodesic
Existence of mild solutions to semilinear fractional evolution equation using Krasnoselskii fixed point theorem
Filomat, Tome 36 (2022) no. 4, p. 1099

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DOI

This paper is devoted to study the existence and stability of mild solutions for semilinear fractional evolution equations with a nonlocal final condition. The analysis is based on analytic semigroup theory, Krasnoselskii fixed point theorem, and a special probability density function. An application to a time fractional diffusion equation with nonlocal final condition is also given
DOI : 10.2298/FIL2204099N
Classification : 35B65, 35R11
Keywords: Nonlocal evolution problem, Fixed point theorem, Final value problems 
Tran Bao Ngoc; Nguyen Huy Tuan. Existence of mild solutions to semilinear fractional evolution equation using Krasnoselskii fixed point theorem. Filomat, Tome 36 (2022) no. 4, p. 1099 . doi: 10.2298/FIL2204099N
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     title = {Existence of mild solutions to semilinear fractional evolution equation using {Krasnoselskii} fixed point theorem},
     journal = {Filomat},
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     year = {2022},
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     doi = {10.2298/FIL2204099N},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2204099N/}
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