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Some results for a class of two-dimensional fractional hyperbolic differential systems with time delay

This work deals with the existence and uniqueness of global solution and finite time stability of fractional partial hyperbolic differential systems (FPHDSs). Using the fixed-point approach, the existence and uniqueness of global solution is studied and an estimation of solution is given. Moreover,...

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Detalles Bibliográficos
Autores principales: Arfaoui, Hassen, Ben Makhlouf, Abdellatif
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8423604/
https://www.ncbi.nlm.nih.gov/pubmed/34512222
http://dx.doi.org/10.1007/s12190-021-01625-7
Descripción
Sumario:This work deals with the existence and uniqueness of global solution and finite time stability of fractional partial hyperbolic differential systems (FPHDSs). Using the fixed-point approach, the existence and uniqueness of global solution is studied and an estimation of solution is given. Moreover, some sufficient conditions for the finite time stability of FPHDSs are established. Numerical experiments illustrate the Stability result.