Weakly Coupled System of Semi-Linear Fractional θ-Evolution Equations with Special Cauchy Conditions-Reference-Cited by-同舟云学术

Weakly Coupled System of Semi-Linear Fractional θ-Evolution Equations with Special Cauchy Conditions

Published:2023-06-30 Issue:7 Volume:15 Page:1341
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Mohammed Djaouti Abdelhamid¹^ORCID

Affiliation:

1. Preparatory Year Deanship, King Faisal University, Hofuf 31982, Saudi Arabia

Abstract

In this paper, we consider a weakly system of fractional θ-evolution equations. Using the fixed-point theorem, a global-in-time existence of small data solutions to the Cauchy problem is proved for one single equation. Using these results, we prove the global existence for the system under some mixed symmetrical conditions that describe the interaction between the equations of the system.

Funder

Deanship of Scientific Research, Vice Presidency for Graduate Studies and Scientific Research, King Faisal University, Saudi Arabia

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/7/1341/pdf

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