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Fractional-Order Euler Wavelet Technique for Multidimensional Distributed-Order Optimal Control Problem

delete2025-09-24
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PRE
AI
A
Akanksha Singh
A
Ankur Kanaujiya
J
Jugal Mohapatra *
DOI：10.1016/j.cnsns.2025.109316delete
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Abstract

Abstract

En 中文
This manuscript extends two-dimensional distributed-order optimal control problems into multidimensional distributed-order optimal control problems and solves them using the fractional-order Euler wavelets approach. The necessary and sufficient conditions for optimality are derived. The method entails transforming the optimal control problem into a system of algebraic equations using Riemann-Liouville distributed-order operational matrices and Newton-Cotes collocation points. The Lagrange multiplier method solves these equations and gets the optimized value. The manuscript also establishes the convergence analysis and error bounds. Several examples are examined to demonstrate the high precision of the numerical method and also show rationality and validity through real-life problems.

Journal

Communications in Nonlinear Science and Numerical Simulation cover
Communications in Nonlinear Science and Numerical Simulation
IF:
3.8
Papers:
9.1K
Citations:
1.8W

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No organization information available