In this paper‎, ‎a modern method is presented to solve a class of fractional optimal control problems (FOCPs) indirectly‎. ‎First‎, ‎the necessary optimality conditions for the FOCP are obtained in the form of two fractional differential equations (FDEs)‎. ‎Then‎, ‎the unknown functions are approximated by the hybrid functions‎, ‎including Bernoulli polynomials and Block-pulse functions based o...

The paper is devoted to the study of an approximation process of time optimal control for fractional evolution systems in Banach spaces. We firstly convert time optimal control problem into Meyer problem. By virtue of the properties of the family of solution operators given by us, the existence of optimal controls for Meyer problem is proved. Secondly, we construct a sequence of Meyer problems ...

<p style='text-indent:20px;'>In this paper, we study the numerical approximation of a system PDEs which arises from an optimal control problem for time-fractional Fokker-Planck equation with time-dependent drift. The is composed backward Hamilton-Jacobi-Bellman and forward equation. We approximate Caputo derivatives in by means L1 schemes Hamiltonian finite differences. scheme constructed...

In this paper spectral Galerkin approximation of optimal control problem governed by fractional advection diffusion reaction equation with integral state constraint is investigated. First order condition the discussed. Weighted Jacobi polynomials are used to approximate and adjoint state. A priori error estimates for control, state, Lagrangian multiplier derived. Numerical experiment carried ou...

In this paper, boundary value problems of fractional order are converted into an optimal control problems. Then an approximate solution is constructed from translations and dilations of a B-spline function such that the exact boundary conditions are satisfied. The fractional differential operators are taken in the Riemann-Liouville and Caputo sense. Several example are given and the optimal err...