Existence of solutions to anti-periodic boundary value problem for nonlinear fractional differential equations

DOI10.1007/s12591-011-0086-2zbMath1260.34012OpenAlexW2044920388MaRDI QIDQ691310

Yi Chen, An-Ping Chen

Publication date: 30 November 2012

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-011-0086-2

zbMATH Keywords

fixed point theoremfractional differential equationanti-periodic boundary value problem

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Fractional ordinary differential equations (34A08)

Related Items (7)

Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations ⋮ Existence and uniqueness of solutions for multi-term nonlinear fractional integro-differential equations ⋮ Existence results for fractional differential equations with three-point boundary conditions ⋮ Separated boundary value problem for fractional differential equations depending on lower-order derivative ⋮ The well-posedness of fractional systems with affine-periodic boundary conditions ⋮ Anti-periodic fractional boundary value problems for nonlinear differential equations of fractional order ⋮ Existence and nonexistence results for a class of fractional boundary value problems

Cites Work

• Existence of solutions for fractional differential equations of order \(q \in (2,3\) with anti-periodic boundary conditions]
• Existence of positive solutions of the boundary value problem for nonlinear fractional differential equations
• Existence of solutions for fractional differential inclusions with antiperiodic boundary conditions
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Circulant preconditioners for solving differential equations with multidelays
• Nonlinear third-order differential equations with anti-periodic boundary conditions and some optimal control problems
• Anti-periodic solutions for a class of nonlinear \(n\)th-order differential equations with delays
• Multiple periodic solutions for a discrete time model of plankton allelopathy
• Existence of solutions for anti-periodic boundary value problems
• Anti-periodic boundary value problem for nonlinear first order ordinary differential equations
• Positive solutions for boundary value problem of nonlinear fractional differential equation
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