Multiple solutions for the fractional differential equation with concave-convex nonlinearities and sign-changing weight functions

DOI10.1186/s13662-017-1215-1zbMath1422.34058OpenAlexW2704737742WikidataQ59525061 ScholiaQ59525061MaRDI QIDQ1631115

Lili Cao, Hai Pu

Publication date: 5 December 2018

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

Full work available at URL: https://doi.org/10.1186/s13662-017-1215-1

zbMATH Keywords

Nehari manifoldfractional differential equationconcave-convex nonlinearitiesfibering map

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional derivatives and integrals (26A33) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

Cites Work

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• On the periodic boundary value problem for Duffing type fractional differential equation with \(p\)-Laplacian operator
• Existence of a solution for the fractional differential equation with nonlinear boundary conditions
• The existence of solutions to boundary value problems of fractional differential equations at resonance
• On the time-fractional Navier-Stokes equations
• Weak solutions of the time-fractional Navier-Stokes equations and optimal control
• Existence and multiplicity results of homoclinic solutions for fractional Hamiltonian systems
• 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
• The Hamilton formalism with fractional derivatives
• Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions
• Positive solutions for Dirichlet problems of singular nonlinear fractional differential equations
• Fractional Hamiltonian analysis of irregular systems
• Fractals and fractional calculus in continuum mechanics
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
• Eigenvalue problem for fractional differential operator containing left and right fractional derivatives
• Fractional Sobolev spaces via Riemann-Liouville derivatives
• Variational approach to solutions for a class of fractional Hamiltonian systems
• Fractional Hamiltonian analysis of higher order derivatives systems
• On a class of differential equations with left and right fractional derivatives
• EXISTENCE RESULTS FOR FRACTIONAL BOUNDARY VALUE PROBLEM VIA CRITICAL POINT THEORY
• Lagrangian Formulation of Classical Fields within Riemann-Liouville Fractional Derivatives
• Existence and uniqueness theorem for a class of delay differential equations with left and right Caputo fractional derivatives
• Positive solutions for boundary value problem of nonlinear fractional differential equation