Hamilton’s principle with variable order fractional derivatives

From MaRDI portal
Publication:2853348

DOI10.2478/s13540-011-0007-7zbMath1273.70031OpenAlexW2132947505MaRDI QIDQ2853348

Stevan Pilipović, Teodor M. Atanacković

Publication date: 21 October 2013

Published in: Fractional Calculus and Applied Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10525/1684




Related Items (27)

On some applications of the space-time fractional derivativeFractional optimal control problem for variable-order differential systemsA research note on the nonstandard finite difference method for solving variable-order fractional optimal control problemsA spectral framework for fractional variational problems based on fractional Jacobi functionsNumerical algorithm for the variable-order Caputo fractional functional differential equationFractional isoperimetric Noether's theorem in the Riemann-Liouville senseA computational approach for the solution of a class of variable-order fractional integro-differential equations with weakly singular kernelsAnalytic approximate solutions for a class of variable order fractional differential equations using the polynomial least squares methodApproximation and application of the Riesz-Caputo fractional derivative of variable order with fixed memoryNoether symmetries for fractional generalized Birkhoffian systems in terms of classical and combined Caputo derivativesConservation laws for systems of non-standard Birkhoffians with fractional derivativesApplications of variable-order fractional operators: a reviewVariable Order Mittag–Leffler Fractional Operators on Isolated Time Scales and Application to the Calculus of VariationsOn Mittag-Leffler Kernel-Dependent Fractional Operators with Variable OrderOptimal control problem for variable-order fractional differential systems with time delay involving Atangana-Baleanu derivativesFractional Noether theorem based on extended exponentially fractional integralNumerical methods of solutions of boundary value problems for the multi-term variable-distributed order diffusion equationFast algorithms for high-dimensional variable-order space-time fractional diffusion equationsCombined fractional variational problems of variable order and some computational aspectsFractional Variational Calculus of Variable OrderUnnamed ItemNew variable-order fractional chaotic systems for fast image encryptionNEW RECURSIVE APPROXIMATIONS FOR VARIABLE-ORDER FRACTIONAL OPERATORS WITH APPLICATIONSOn the sub-diffusion fractional initial value problem with time variable orderNoether symmetry method for Hamiltonian mechanics involving generalized operatorsVariable Order Fractional Isoperimetric Problem of Several VariablesBoundary value problems for the diffusion equation of the variable order in differential and difference settings



Cites Work


This page was built for publication: Hamilton’s principle with variable order fractional derivatives