Bendouma, BouharketCabada Fernández, AlbertoHammoudi, Ahmed2026-01-272026-01-272019-01-01Bouharket Bendouma, Alberto Cabada, Ahmed Hammoudi, Existence results for systems of conformable fractional differential equations, 01 Jan 2019 (Department of Mathematics, Faculty of Science of Masaryk University, Brno) - Vol. 55, Iss: 2, pp 69-820044-8753https://hdl.handle.net/10347/45447In 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.engAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Conformable fractional calculusConformable fractional differential equationsSolution-tubeSchauder’s fixed-point theoremFractional Sobolev’s spaces.1202 Análisis y análisis funcionaljournal article10.5817/AM2019-2-691212-5059open access