Fractional Hamilton-Jacobi equation for the optimal control of nonrandom fractional dynamics with fractional cost function
From MaRDI portal
Publication:874339
DOI10.1007/BF02831970zbMath1111.49014MaRDI QIDQ874339
Publication date: 5 April 2007
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Mittag-Leffler functionoptimal controlHamilton-Jacobi equationfractional derivativedynamical programmingfractional partial differential equationfractional Taylor's series
Optimality conditions for problems involving partial differential equations (49K20) Dynamic programming in optimal control and differential games (49L20) Dynamic programming (90C39) Self-similar stochastic processes (60G18) Optimality conditions for problems involving ordinary differential equations (49K15)
Related Items
Fractional conservation laws in optimal control theory ⋮ Noether symmetries and conserved quantities for fractional Birkhoffian systems ⋮ Noether symmetries for fractional generalized Birkhoffian systems in terms of classical and combined Caputo derivatives ⋮ Noether symmetries and conserved quantities for fractional Birkhoffian systems with time delay ⋮ Noether's theorem for fractional variational problem from El-Nabulsi extended exponentially fractional integral in phase space ⋮ Fractional Noether theorem based on extended exponentially fractional integral ⋮ The stability of solutions for a fractional predator-prey system ⋮ Dynamic Programming Principle and Hamilton--Jacobi--Bellman Equations for Fractional-Order Systems ⋮ Fractional partial differential equations and modified Riemann-Liouville derivative new methods for solution ⋮ Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results ⋮ A generalized Tu formula and Hamiltonian structures of fractional AKNS hierarchy ⋮ The fractional supertrace identity and its application to the super Jaulent-Miodek hierarchy ⋮ A new approach on fractional variational problems and Euler-Lagrange equations ⋮ Two novel approaches to capture the maximum power from variable speed wind turbines using optimal fractional high-order fast terminal sliding mode control ⋮ The extended trial equation method for some time fractional differential equations ⋮ The modified trial equation method for fractional wave equation and time fractional generalized Burgers equation ⋮ On fractional variational problems which admit local transformations ⋮ Dynamic programming strategy based on a type-2 fuzzy wavelet neural network ⋮ A fractional calculus of variations for multiple integrals with application to vibrating string ⋮ Fractional calculus of variations for a combined Caputo derivative
Cites Work
- Merton's model of optimal portfolio in a Black-Scholes market driven by a fractional Brownian motion with short-range dependence
- Stochastic analysis of the fractional Brownian motion
- Alternative micropulses and fractional Brownian motion
- Fractional Brownian motions via random walk in the complex plane and via fractional derivative. Comparison and further results on their Fokker-Planck equations
- A class of micropulses and antipersistent fractional Brownian motion
- On the representation of fractional Brownian motion as an integral with respect to \((dt)^a\)
- On the solution of the stochastic differential equation of exponential growth driven by fractional Brownian motion
- A nonrandom variational approach to stochastic linear quadratic Gaussian optimization involving fractional noises (FLQG)
- FRACTIONAL WHITE NOISE CALCULUS AND APPLICATIONS TO FINANCE
- Stochastic Calculus for Fractional Brownian Motion I. Theory
- Stochastic differential equations with fractional Brownian motion input
- Fractional Brownian Motions, Fractional Noises and Applications
- Taylor’s Series Generalized for Fractional Derivatives and Applications