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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Bibliographic Details
Authors: Bendouma, Bouharket, Cabada Fernández, Alberto, Hammoudi, Ahmed
Format: article
Publication Date:2019
Country:España
Institution:Universidad de Santiago de Compostela (USC)
Repository:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
Language:English
OAI Identifier:oai:minerva.usc.gal:10347/45447
Online Access:https://hdl.handle.net/10347/45447
Access Level:Open access
Keyword:Conformable fractional calculus
Conformable fractional differential equations
Solution-tube
Schauder’s fixed-point theorem
Fractional Sobolev’s spaces.
1202 Análisis y análisis funcional
Description
Summary: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.