Numerical approximation of fractional variational problems with several dependent variables using Jacobi poly-fractonomials

DOI10.1016/J.MATCOM.2022.06.018OpenAlexW4283378607WikidataQ114149825 ScholiaQ114149825MaRDI QIDQ2079307

Divyansh Pandey, Ravi P. Agarwal, Rajesh K. Pandey

Publication date: 29 September 2022

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2022.06.018

zbMATH Keywords

convergenceCaputo fractional derivativefractional variational problems

Mathematics Subject Classification ID

Numerical analysis (65-XX) Calculus of variations and optimal control; optimization (49-XX)

Cites Work

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• Fractional Sturm-Liouville eigen-problems: theory and numerical approximation
• Exponentially accurate spectral and spectral element methods for fractional ODEs
• A numerical technique for solving a class of fractional variational problems
• Generalized Euler-Lagrange equations for fractional variational problems with free boundary conditions
• A spectral framework for fractional variational problems based on fractional Jacobi functions
• A numerical technique for solving fractional variational problems by Müntz-Legendre polynomials
• Formulation of Euler-Lagrange equations for fractional variational problems
• Application of fractional Gegenbauer functions in variable-order fractional delay-type equations with non-singular kernel derivatives
• A new operational approach for solving fractional variational problems depending on indefinite integrals
• A general finite element formulation for fractional variational problems
• Generalized Euler—Lagrange Equations and Transversality Conditions for FVPs in terms of the Caputo Derivative
• A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
• Fractional calculus in the transient analysis of viscoelastically damped structures
• Direct numerical method for isoperimetric fractional variational problems based on operational matrix
• A numerical scheme for the solution of a class of fractional variational and optimal control problems using the modified Jacobi polynomials
• Advances in Fractional Calculus
• Fractional Spectral Collocation Method

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