Weakly Coupled Systems of Semi-Linear Fractional σ–Evolution Equations with Different Power Nonlinearities

Autor:	Seyyid Ali Saiah, Abdelatif Kainane Mezadek, Mohamed Kainane Mezadek, Abdelhamid Mohammed Djaouti, Ashraf Al-Quran, Ali M. A. Bany Awad
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	weakly coupled system fractional equations global in time existence σ–evolution equations small data solutions loss of decay Mathematics QA1-939
Zdroj:	Symmetry, Vol 16, Iss 7, p 884 (2024)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym16070884
Popis:	The study of small data Sobolev solutions to the Cauchy problem for weakly coupled systems of semi-linear fractional σ–evolution equations with different power nonlinearities is of interest to us in this research. These solutions must exist globally (in time). We explain the relationships between the admissible range of exponents p1 and p2 symmetrically in our main modeland the regularity assumptions for the data by using Lm−Lq estimates of Sobolev solutions to related linear models with a vanishing right-hand side and some fixed point argument. This allows us to prove the global (in time) existence of small data Sobolev solutions.
Databáze:	Directory of Open Access Journals
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