Stability and Existence of Solutions for a Tripled Problem of Fractional Hybrid Delay Differential Equations

The purpose of this paper is to determine the existence of tripled fixed point results for the tripled symmetry system of fractional hybrid delay differential equations. We obtain results which support the existence of at least one solution to our system by applying hybrid fixed point theory. Simila...

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Detalhes bibliográficos
Autores: Hammad, Hasanen A., Rashwan, Rashwan A., Nafea, Ahmed, Samei, Mohammad Esmael, De la Sen Parte, Manuel
Tipo de documento: artigo
Data de publicação:2022
País:España
Recursos:Universidad del País Vasco
Repositório:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/59239
Acesso em linha:http://hdl.handle.net/10810/59239
Access Level:Acceso aberto
Palavra-chave:tripled fixed point technique
Ulam–Hyers–Rassias stability
fractional hybrid delay differential equation
Caputo derivative
Descrição
Resumo:The purpose of this paper is to determine the existence of tripled fixed point results for the tripled symmetry system of fractional hybrid delay differential equations. We obtain results which support the existence of at least one solution to our system by applying hybrid fixed point theory. Similar types of stability analysis are presented, including Ulam–Hyers, generalized Ulam–Hyers, Ulam–Hyers–Rassias, and generalized Ulam–Hyers–Rassias. The necessary stipulations for obtaining the solution to our proposed problem are established. Finally, we provide a non-trivial illustrative example to support and enhance our analysis.