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

Divyansh Pandey, Rajesh K. Pandey and R.P. Agarwal

Mathematics and Computers in Simulation (MATCOM), 2023, vol. 203, issue C, 28-43

Abstract: We discuss a new numerical scheme using Jacobi poly-fractonomials for the fractional variational problem (FVP) with several dependent variables. The FVP is defined using the Caputo fractional derivative. Using Jacobi poly-fractonomials in the discussed method, the considered FVP is reduced to a system of algebraic equations. By solving this system of algebraic equations, an approximate solution of FVP is accomplished. We also proved the convergence of the presented scheme and the fractional variational error. At last, we perform some figurative examples to exhibit the legitimacy and pertinence of the current method.

Keywords: Fractional variational problems; Convergence; Caputo fractional derivative (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475422002889
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:203:y:2023:i:c:p:28-43

DOI: 10.1016/j.matcom.2022.06.018

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().