Solvability of periodic boundary value problem for fractional \(p\)-Laplacian equation

DOI10.1016/j.amc.2014.06.105zbMath1335.34012OpenAlexW2017213247MaRDI QIDQ278368

Jiaying Liu, Wenbin Liu, Tai Yong Chen

Publication date: 2 May 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.06.105

zbMATH Keywords

\(p\)-Laplacian operatorperiodic boundary conditionscontinuation theoremfractional differential equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional ordinary differential equations (34A08)

Related Items

Existence results for a coupled system of nonlinear fractional multi-point boundary value problems at resonance, Periodic boundary value problems for two classes of nonlinear fractional differential equations, Extremal solutions for singular fractional \(p\)-Laplacian differential equations with nonlinear boundary conditions, Positive solutions to periodic boundary value problems of nonlinear fractional differential equations at resonance, Research on Sturm-Liouville boundary value problems of fractional \(p\)-Laplacian equation, Maximum and minimum solutions for a nonlocal \(p\)-Laplacian fractional differential system from eco-economical processes, Positive solutions for a system of nonlinear fractional nonlocal boundary value problems with parameters and \(p\)-Laplacian operator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The existence of solutions to boundary value problems of fractional differential equations at resonance
• Nontrivial solutions for a nonlinear multi-point boundary value problem of fractional order
• An anti-periodic boundary value problem for the fractional differential equation with a \(p\)-Laplacian operator
• A boundary value problem for fractional differential equation with \(p\)-Laplacian operator at resonance
• Positive solutions of four-point boundary value problems for higher-order \(p\)-Laplacian operator
• Boundary value problems for differential equations with fractional order and nonlocal conditions
• Solvability of nonlocal boundary value problems for ordinary differential equation of higher order with a \(p\)-Laplacian
• On initial and boundary value problems for fractional order mixed type functional differential inclusions
• Positive solutions for Dirichlet problems of singular nonlinear fractional differential equations
• Boundary value problem for a coupled system of nonlinear fractional differential equations
• Periodic solution for nonlinear systems with \(p\)-Laplacian-like operators
• Existence and uniqueness for a nonlinear fractional differential equation
• Upper and lower solution method and a singular boundary value problem for the one-dimensional \(p\)-Laplacian
• Existence of positive solutions of nonlinear fractional differential equations
• Antiperiodic solutions for Liénard-type differential equation with \(p\)-Laplacian operator
• New results on the existence of periodic solutions for a higher-order Li é nard type p -Laplacian differential equation
• Differential equations of fractional order:methods results and problem —I
• MULTIPLE PERIODIC SOLUTIONS OF p-LAPLACIAN EQUATION WITH ONE-SIDE NAGUMO CONDITION
• Differential Equations of Fractional Order: Methods, Results and Problems. II
• Advances in Fractional Calculus
• Positive solutions for boundary value problem of nonlinear fractional differential equation