Existence results for systems of conformable fractional differential equations

In this article, we study the existence of solutions to systems of conformable fractional differential equations with periodic boundary value or initial value conditions. where the right member of the system is $L^{1}_{\alpha}$-carath\'{e}odory function. We employ the method of solution-tube an...

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Detalles Bibliográficos
Autores: Bendouma, Bouharket, Cabada Fernández, Alberto, Hammoudi, Ahmed
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universidad de Santiago de Compostela (USC)
Repositorio:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
Idioma:inglés
OAI Identifier:oai:minerva.usc.gal:10347/45447
Acceso en línea:https://hdl.handle.net/10347/45447
Access Level:acceso abierto
Palabra clave:Conformable fractional calculus
Conformable fractional differential equations
Solution-tube
Schauder’s fixed-point theorem
Fractional Sobolev’s spaces.
1202 Análisis y análisis funcional
Descripción
Sumario:In this article, we study the existence of solutions to systems of conformable fractional differential equations with periodic boundary value or initial value conditions. where the right member of the system is $L^{1}_{\alpha}$-carath\'{e}odory function. We employ the method of solution-tube and Schauder's fixed-point theorem.