arrow
Return

Wavelet Technique for Variable-Order Modified Caputo-Fabrizio Optimal Control Problems

delete2025-09-01
delete0
PRE
AI
A
Akanksha Singh
A
Ankur Kanaujiya
J
Jugal Mohapatra *
DOI:10.1007/s40995-025-01901-2delete
deleteOriginal
deleteOriginal request for help
deleteShare
deleteSave
Abstract

Abstract

En 中文
This manuscript introduces a highly effective method for addressing variable-order modified Caputo-Fabrizio multi-dimensional optimal control problems using fractional-order Taylor wavelets. The technique converts the optimal control problem into a system of algebraic equations using variable-order operational matrices and collocation points. The Lagrange multiplier method is applied to solve these equations, resulting in an optimal solution. The article also provides a convergence analysis and error bounds for the proposed approach. Various examples are examined to demonstrate the high accuracy of the numerical method.
Keywords:
Variable-order optimal control problem
Fractional-order Taylor wavelets
Integral operational matrix
Product operational matrix

Journal

I
Iranian Journal of Science
IF:
1.4
Papers:
134
Citations:
0

Organization

N
national institute of technology (nit system)
Scholars:
4.0W
Papers: 3.7W
Citations: 31