Existence results and the monotone iterative technique for nonlinear fractional differential systems involving fractional integral boundary conditions

DOI10.1186/s13662-017-1304-1zbMath1422.34034OpenAlexW2751094760WikidataQ59524352 ScholiaQ59524352MaRDI QIDQ1629980

Ying He

Publication date: 7 December 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-017-1304-1

zbMATH Keywords

upper and lower solutionsmonotone iterative techniqueintegral boundary conditionsfractional differential system

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items

Existence and iteration of positive solution for fractional integral boundary value problems with \(p\)-Laplacian operator, Monotone iterative solutions for a coupled system of \(p\)-Laplacian differential equations involving the Riemann-Liouville fractional derivative, Monotone iterative method for fractional differential equations with integral boundary conditions, Existence and Hyers-Ulam stability of solutions for a mixed fractional-order nonlinear delay difference equation with parameters, Iterative positive solutions to a coupled Hadamard-type fractional differential system on infinite domain with the multistrip and multipoint mixed boundary conditions

Cites Work

• The method of lower and upper solutions for mixed fractional four-point boundary value problem with \(p\)-Laplacian operator
• Existence results and the monotone iterative technique for systems of nonlinear fractional differential equations
• Explicit iteration and unbounded solutions for fractional integral boundary value problem on an infinite interval
• Explicit iterations and extremal solutions for fractional differential equations with nonlinear integral boundary conditions
• Monotone iterative technique for boundary value problems of a nonlinear fractional differential equation with deviating arguments
• Monotone iterative solutions for nonlinear fractional differential systems with deviating arguments
• Existence of solutions for Riemann-Liouville fractional boundary value problem
• Boundary problems for fractional differential equations
• The existence of an extremal solution to a nonlinear system with the right-handed Riemann-Liouville fractional derivative