RT Journal Article
T1 Initial Value Problem For Nonlinear Fractional Differential Equations With ψ-Caputo Derivative Via Monotone Iterative Technique
A1 Derbazi, Choukri
A1 Baitiche, Zidane
A1 Benchohra, Mouffak
A1 Cabada Fernández, Alberto
K1 ψ-Caputo fractional derivative
K1 Cauchy problem extremal solutions
K1 Monotone iterative technique
K1 Upper and lower solutions
AB In this article, we discuss the existence and uniqueness of extremal solutions for nonlinear initial value problems of fractional differential equations involving the ψ -Caputo derivative. Moreover, some uniqueness results are obtained. Our results rely on the standard tools of functional analysis. More precisely we apply the monotone iterative technique combined with the method of upper and lower solutions to establish sufficient conditions for existence as well as the uniqueness of extremal solutions to the initial value problem. An illustrative example is presented to point out the applicability of our main results
PB MDPI
YR 2020
FD 2020
LK http://hdl.handle.net/10347/23666
UL http://hdl.handle.net/10347/23666
LA eng
NO Derbazi, C.; Baitiche, Z.; Benchohra, M.; Cabada, A. Initial Value Problem For Nonlinear Fractional Differential Equations With ψ-Caputo Derivative Via Monotone Iterative Technique. Axioms 2020, 9, 57
NO The fourth author is supported by the Agencia Estatal de Investigación (AEI) of Spain under grant MTM2016-75140-P, co-financed by the European Community fund FEDER. The fourth author is also supported by Xunta de Galicia, project ED431C 2019/02 (Spain)
DS Minerva
RD 28 abr 2026