Positive solutions for periodic boundary value problem of fractional differential equation in Banach spaces

DOI10.1186/s13662-018-1788-3zbMath1448.34059OpenAlexW2890768605WikidataQ115241419 ScholiaQ115241419MaRDI QIDQ1715574

Yibo Kong, Pengyu Chen

Publication date: 28 January 2019

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

Full work available at URL: https://doi.org/10.1186/s13662-018-1788-3

zbMATH Keywords

existence and uniquenessperiodic boundary value problemfractional differential equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional derivatives and integrals (26A33) Functional-differential equations in abstract spaces (34K30) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Cites Work

• Unnamed Item
• Unnamed Item
• Existence of positive solutions for singular higher-order fractional differential equations with infinite-point boundary conditions
• Local and global existence of mild solutions for a class of nonlinear fractional reaction-diffusion equations with delay
• Periodic boundary value problems for fractional differential equations involving a Riemann-Liouville fractional derivative
• Fractional differential equations as alternative models to nonlinear differential equations
• Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions
• Monotone iterative method for initial value problem involving Riemann-Liouville fractional derivatives
• Existence of periodic solution for a nonlinear fractional differential equation
• An existence result for nonlinear fractional differential equations on Banach spaces
• Fractional differential equations in electrochemistry
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Iterative positive solutions for singular nonlinear fractional differential equation with integral boundary conditions
• Positive solutions of semipositone singular fractional differential systems with a parameter and integral boundary conditions
• A blowup alternative result for fractional nonautonomous evolution equation of Volterra type
• Positive solutions for a system of nonlinear fractional nonlocal boundary value problems with parameters and \(p\)-Laplacian operator
• Approximation technique for fractional evolution equations with nonlocal integral conditions
• Positive solution for singular fractional differential equations involving derivatives
• Existence of positive periodic solutions of some nonlinear fractional differential equations
• Positive solution for a fractional singular boundary value problem with \(p\)-Laplacian operator
• Study on fractional non-autonomous evolution equations with delay
• Existence and multiplicity of solutions for nonlinear fractional differential equations
• Existence and uniqueness of positive solutions for boundary value problems of fractional differential equations
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

This page was built for publication: Positive solutions for periodic boundary value problem of fractional differential equation in Banach spaces