Existence of the classical and strong solutions for fractional semilinear initial value problems

We prove the existence and uniqueness of classical and strong solutions of a fractional semilinear evolution equation using the method of a semigroup and the Banach fixed theorem.

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Bibliographic Details
Published in:Boundary value problems 2018-10, Vol.2018 (1), p.1-13, Article 157
Main Authors: Al-Omari, A., Al-Saadi, H.
Format: Article
Language:English
Subjects:
Analysis
Approximations and Expansions
Boundary value problems
Classical solution
Difference and Functional Equations
Existence
Fixed point theorems
Fractional differential equations
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Strong solution
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Description
Summary:We prove the existence and uniqueness of classical and strong solutions of a fractional semilinear evolution equation using the method of a semigroup and the Banach fixed theorem.
ISSN:1687-2770
1687-2762
1687-2770
DOI:10.1186/s13661-018-1054-3