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

A. Al-Omari; H. Al-Saadi

doi:10.1186/s13661-018-1054-3

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

Journal article

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

A. Al-Omari and H. Al-Saadi

Boundary value problems, Vol.2018(1), pp.1-13

19/10/2018

DOI: https://doi.org/10.1186/s13661-018-1054-3

Abstract

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

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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Title: Existence of the classical and strong solutions for fractional semilinear initial value problems
Creators - without role: A. Al-Omari - Al al-Bayt University
H. Al-Saadi - Umm al-Qura University
Publication Details: Boundary value problems, Vol.2018(1), pp.1-13
Publisher: Springer Nature
Number of pages: 13
Identifiers: 9931149808331
Academic Unit: Umm Al Qura University
Language: English
Resource Type: Journal article