PERIODIC BOUNDARY VALUE PROBLEM FOR FRACTIONAL DIFFERENTIAL EQUATION

DOI10.1142/S0129167X12501005zbMath1348.34016WikidataQ115246527 ScholiaQ115246527MaRDI QIDQ4902688

Wenjuan Rui, Wenbin Liu, Zhi-Gang Hu

Publication date: 17 January 2013

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

resonanceperiodic boundary value problemfractional differential equationcoincidence degree theory

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

Related Items (7)

Studies on impulsive differential models with multi-term Riemann-Liouville fractional derivatives ⋮ Positive solutions to periodic boundary value problems of nonlinear fractional differential equations at resonance ⋮ IVPs for singular multi-term fractional differential equations with multiple base points and applications ⋮ Studies on Cauchy problems for impulsive differential models involving higher order Riemann-Liouville fractional derivatives ⋮ Existence of solutions to the generalized periodic fractional boundary value problem ⋮ Existence of solutions for Sturm-Liouville boundary value problems of higher-order coupled fractional differential equations at resonance ⋮ The well-posedness of fractional systems with affine-periodic boundary conditions

Cites Work

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• The existence of solutions to boundary value problems of fractional differential equations at resonance
• Periodic boundary value problems for fractional differential equations involving a Riemann-Liouville fractional derivative
• Positive solutions for boundary value problems of nonlinear fractional differential equation
• Positive solutions of nonlinear fractional boundary value problems using Adomian decomposition method
• Boundary value problems for differential equations with fractional order and nonlocal conditions
• Positive solutions for Dirichlet problems of singular nonlinear fractional differential equations
• Integral equations and initial value problems for nonlinear differential equations of fractional order
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Positive solutions for boundary value problem of nonlinear fractional differential equation

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