Higher Order Fractional Variational Optimal Control Problems with Delayed Arguments
Fahd Jarad, Thabet Abdeljawad, Dumitru Baleanu
TL;DR
This paper investigates advanced fractional variational control problems involving higher order derivatives and delays in state variables, aiming to develop optimal control strategies for complex dynamic systems.
Contribution
It introduces a novel framework for higher order Caputo fractional variational problems with delays, extending existing methods to more complex systems.
Findings
Derived new fractional Euler-Lagrange equations with delays
Established conditions for optimality in delayed fractional systems
Extended variational calculus to higher order fractional derivatives with delays
Abstract
This article deals with higher order Caputo fractional variational problems with the presence of delay in the state variables and their integer higher order derivatives.
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Taxonomy
TopicsFractional Differential Equations Solutions · Differential Equations and Numerical Methods · Differential Equations and Boundary Problems