Variational approach to homoclinic solutions for fractional Hamiltonian systems

DOI10.1007/s10957-017-1086-3zbMath1380.37122OpenAlexW2593991085MaRDI QIDQ1673878

Peng Zhang

Publication date: 27 October 2017

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-017-1086-3

zbMATH Keywords

critical point theoryvariational methodhomoclinic solutionfractional Hamiltonian system

Mathematics Subject Classification ID

Related Items (6)

Nehari type solutions for fractional Hamiltonian systems ⋮ Infinitely many solutions for fractional Hamiltonian systems with locally defined potentials ⋮ Infinitely many solutions for a class of superquadratic fractional Hamiltonian systems ⋮ Sensitivity analysis of optimal control problems governed by nonlinear Hilfer fractional evolution inclusions ⋮ Ground state solutions for a class of superquadratic fractional Hamiltonian systems ⋮ Existence and regularity of weak solutions for \(\psi\)-Hilfer fractional boundary value problem

Cites Work

• Unnamed Item
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• Controllability for fractional evolution inclusions without compactness
• Existence of solutions for a class of fractional boundary value problems via critical point theory
• Homoclinic orbits for a class of fractional Hamiltonian systems via variational methods
• Chaos, fractional kinetics, and anomalous transport
• Multiplicity of solutions for fractional Hamiltonian systems with Liouville-Weyl fractional derivatives
• Infinitely many solutions for a class of fractional Hamiltonian systems via critical point theory
• Solutions for subquadratic fractional Hamiltonian systems without coercive conditions
• EXISTENCE RESULTS FOR FRACTIONAL BOUNDARY VALUE PROBLEM VIA CRITICAL POINT THEORY
• Bifurcation results for a class of fractional Hamiltonian systems with Liouville–Weyl fractional derivatives
• Basic Theory of Fractional Differential Equations
• Variational formulation for the stationary fractional advection dispersion equation
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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