Existence results to some damped-like fractional differential equations

DOI10.1515/ijnsns-2016-0093zbMath1401.34015OpenAlexW2612805897MaRDI QIDQ1662336

Yong Zhou, Nemat Nyamoradi

Publication date: 17 August 2018

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns-2016-0093

zbMATH Keywords

variational methodscritical point theoryRiemann-Liouville fractional integralsdamped-like fractional differential equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fixed-point theorems (47H10) Boundary value problems with impulses for ordinary differential equations (34B37) Fractional ordinary differential equations (34A08)

Cites Work

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• Existence of solutions for a fractional boundary value problem via the mountain pass method and an iterative technique
• Existence and multiplicity of solutions for some fractional boundary value problem via critical point theory
• Variational approach to some damped Dirichlet nonlinear impulsive differential equations
• Existence of solutions for a class of fractional boundary value problems via critical point theory
• Periodic solutions for some second order systems
• Variational formulation of a damped Dirichlet impulsive problem
• On a class of damped vibration problems with super-quadratic potentials
• Critical point theory and Hamiltonian systems
• Multiple solutions for a class of fractional boundary value problems
• Existence of three solutions for a nonlinear fractional boundary value problem via a critical points theorem
• Solvability of a class of impulsive damped vibration problems
• Variational approach to some damped Dirichlet problems with impulses
• Differential equations of fractional order:methods results and problem —I
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Nonlinear functional differential equations of arbitrary orders
• Differential Equations of Fractional Order: Methods, Results and Problems. II
• EXISTENCE RESULTS FOR FRACTIONAL BOUNDARY VALUE PROBLEM VIA CRITICAL POINT THEORY
• Multiplicity results for a class of fractional boundary value problems
• Advances in Fractional Calculus