RT Journal Article
T1 Existence of positive periodic solutions of some nonlinear fractional differential equations
A1 Cabada Fernández, Alberto
A1 Kisela, Tomas
K1 Periodic Fractional Equation
K1 Krasnosel’skii fixed point
K1 Green’s function
K1 Monotone Iterative Methods
AB The paper is devoted to study of existence and uniqueness of periodic solutions for a particular class of nonlinear fractional differential equations admitting its right-hand side with certain singularities. Our approach is based on Krasnosel’skiĭ and Schauder fixed point theorems and monotone iterative technique which enable us to extend some previously known results. The discussed problems are characterized by a Green’s function which has integrable singularities disallowing a direct use of classical techniques known from theory of ordinary differential equations, therefore proper modifications are proposed. Furher, the paper presents simple numerical algorithms directly built on the iterative technique used in theoretical proofs. Illustrative examples conclude the paper.
PB Elsevier
SN 1007-5704
YR 2017
FD 2017-03-04
LK https://hdl.handle.net/10347/45457
UL https://hdl.handle.net/10347/45457
LA eng
NO Alberto Cabada, Tomáš Kisela, Existence of positive periodic solutions of some nonlinear fractional differential equations, Communications in Nonlinear Science and Numerical Simulation, Volume 50, 2017, Pages 51-67, ISSN 1007-5704, https://doi.org/10.1016/j.cnsns.2017.02.010.
NO The research of A. Cabada was partially supported by FEDER and Ministerio de Economía y Competitividad, Spain, project MTM2013-43014-P. The research of T. Kisela was supported by the project CZ.1.07/2.3.00/30.0039 of Brno University of Technology.
DS Minerva
RD 24 abr 2026