Existence-uniqueness result for a certain equation of motion in fractional mechanics

DOI10.2478/v10175-010-0058-7zbMath1305.34016OpenAlexW2064325620WikidataQ60309283 ScholiaQ60309283MaRDI QIDQ554317

Małgorzata Klimek

Publication date: 3 August 2011

Published in: Bulletin of the Polish Academy of Sciences. Technical Sciences (Search for Journal in Brave)

Full work available at URL: http://bulletin.pan.pl/(58-4)573.html

zbMATH Keywords

approximate solutionfixed point theoremEuler-Lagrange equationfractional derivativefractional differential equation

Mathematics Subject Classification ID

Fracture and damage (74R99) Lagrange's equations (70H03) Fractional ordinary differential equations (34A08)

Related Items (11)

On the existence and continuous dependence on parameter of solutions to some fractional Dirichlet problem with application to Lagrange optimal control problem ⋮ Numerical solution of fractional Sturm-Liouville equation in integral form ⋮ Existence and symmetric result for Liouville-Weyl fractional nonlinear Schrödinger equation ⋮ Numerical solution of fractional oscillator equation ⋮ Existence of a solution for the fractional forced pendulum ⋮ The Nehari manifold for a boundary value problem involving Riemann-Liouville fractional derivative ⋮ Ground state solution for differential equations with left and right fractional derivatives ⋮ Infinitely many solutions for a class of fractional Hamiltonian systems via critical point theory ⋮ Multiplicity of solutions for fractional Hamiltonian systems with Liouville-Weyl fractional derivatives ⋮ Reflection Symmetry in Fractional Calculus – Properties and Applications ⋮ Reflection symmetric formulation of generalized fractional variational calculus

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On analogues of exponential functions for antisymmetric fractional derivatives
• Fractional Hamiltonian analysis of irregular systems
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Formulation of Euler-Lagrange equations for fractional variational problems
• Fractional sequential mechanics - models with symmetric fractional derivative.
• Lagrangean and Hamiltonian fractional sequential mechanics.
• Formulation of Hamiltonian equations for fractional variational problems.
• Lagrangian mechanics of fractional order, Hamilton-Jacobi fractional PDE and Taylor's series of nondifferentiable functions
• Fractional embedding of differential operators and Lagrangian systems
• Analytical schemes for a new class of fractional differential equations
• On a class of differential equations with left and right fractional derivatives
• Solutions of Euler-Lagrange equations in fractional mechanics
• The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
• Advances in Fractional Calculus
• Psi-series solution of fractional Ginzburg–Landau equation
• Fractional variations for dynamical systems: Hamilton and Lagrange approaches
• Fractional variational calculus and the transversality conditions
• Existence and uniqueness theorem for a class of delay differential equations with left and right Caputo fractional derivatives

This page was built for publication: Existence-uniqueness result for a certain equation of motion in fractional mechanics