Pontryagin's maximum principle for a fractional integro-differential Lagrange problem
DOI10.1016/J.CNSNS.2023.107598zbMath1530.49020MaRDI QIDQ6144084
Publication date: 5 January 2024
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
necessary optimality conditionsoptimal control problemextremum principle for smooth problemleft-sided Caputo derivativeleft-sided Riemann-Liouville derivativeright-sided Riemann-Liouville derivative
Integro-ordinary differential equations (45J05) Fractional derivatives and integrals (26A33) Numerical methods for wavelets (65T60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Optimality conditions for problems involving ordinary differential equations (49K15) Fractional partial differential equations (35R11) Functional-differential equations with fractional derivatives (34K37)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hybrid functions approach for optimal control of systems described by integro-differential equations
- Fractional-order Legendre functions and their application to solve fractional optimal control of systems described by integro-differential equations
- Existence of a weak solution for fractional Euler-Lagrange equations
- An extremum principle for smooth problems
- Optimal control of system governed by nonlinear Volterra integral and fractional derivative equations
- Necessary optimality conditions for an integro-differential Bolza problem via Dubovitskii-Milyutin method
- On the necessary optimality conditions for the fractional Cucker-Smale optimal control problem
- On fractional Cauchy-type problems containing Hilfer's derivative
- Pontryagin maximum principle for fractional ordinary optimal control problems
- Optimal Control of a Coercive Dirichlet Problem
- Optimal control computation for integro-differential aerodynamic equations
- Existence of optimal control for an integro‐differential Bolza problem
- Application of a global implicit function theorem to a general fractional integro-differential system of Volterra type
This page was built for publication: Pontryagin's maximum principle for a fractional integro-differential Lagrange problem