[PDF] Top 20 A space time spectral method for the time fractional diffusion optimal control problems
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A space time spectral method for the time fractional diffusion optimal control problems
... Optimal control problems (OCPs) can be found in many scientific and engineering ap- plications, and it has become a very active and successful research area in recent ...Recently, fractional ... See full document
20
Research on generalized space time fractional convection diffusion equation
... engineering problems, the core of the engineering calculation is computation of fractional calculus, for example in the field of electrochemical process 、 colored noise 、 control theory 、 ... See full document
5
A discrete orthogonal polynomials approach for fractional optimal control problems with time delay
... numerical method based on the discrete SHPs was proposed to ap- proximate solution of TDFOCPs with quadratic performance ...of fractional integration in the Riemann–Liouville sense and product operational ... See full document
27
Landweber iterative method for identifying a space-dependent source for the time-fractional diffusion equation
... a time-fractional diffusion equation with variable coefficients in a general bounded ...are optimal order for any p in two parameter choice rules, ...our method is feasible and ... See full document
19
Lagrange’s Spectral Collocation Method for Numerical Approximations of Two Dimensional Space Fractional Diffusion Equation
... of Fractional calculus is almost of same age as that of the classical calcu- ...a fractional derivative initiates the theory of fractional calcu- lus when this concept first appeared in a letter of ... See full document
16
Normalized Bernstein polynomials in solving space time fractional diffusion equation
... a space-time frac- tional diffusion equation with initial boundary ...these problems defined in the unbounded time domain, we use the rational normalized Bernstein functions as basis functions ... See full document
25
Large Numerical Solution of Diffusive HBV Model in a Fractional Medium
... analysis method [1], homotopy perturbation method [12, 46], Adomian decomposition method [11, 31], multi-step differential transform method [7, 8, 13], Kansa method [5], finite ... See full document
14
Optimal error estimate of the Legendre spectral approximation for space fractional reaction–advection–diffusion equation
... the space-fractional reaction–advection–diffusion equation with fractional diffusion and integer advection ...Riemann–Liouville fractional derivative operators, we construct a fully discrete ... See full document
22
Approximate Solution For Time-Space Fractional Soil Moisture Diffusion Equation And Its Application
... difference method for time-space fractional soil moisture diffusion equation ...test problems and their solutions are represented graphically by powerful software ... See full document
6
Online Full Text
... by fractional-order equation, fractional calculus has drawn the attention of many famous researchers ...science, fractional theory has developed progressively and researchers have found that ... See full document
5
Optimal error bound and modified kernel method for a space fractional backward diffusion problem
... regularization method by modified ‘kernel’ comes from [30], in which the authors found that as long as the kernel function satisfies a certain prop- erty, some new regularization methods can be ...ill-posed ... See full document
16
Fourier spectral method for numerical simulation of an extended fractional Rosenzweig-MacArthur system with delay
... new fractional reaction-diffusion two-species system as an extension to the Rosenzweig-MacArthur reaction-diffusion di-trophic food chain system which models the spatial interactions between a prey ... See full document
17
A fast gradient projection algorithm for time fractional optimal control problem
... for optimal control problems governed by time frac- tional diffusion equation is ...for space variable and L1 scheme for time variable, while the control variable ... See full document
15
The Line Method Combined with Spectral Chebyshev for Space-Time Fractional Diffusion Equation
... The Method of Lines Combined with Chebyshev Spectral Method respect to weighted residual (Collocation Points) for Space-Time fractional diffusion equation is considered, ... See full document
7
Pseudo Spectral Method for Space Fractional Diffusion Equation
... collocation method, namely called pseudo-spectral method, is proposed in present ...of method can be efficiently applied to fractional partial differential ...the space and ... See full document
8
Measurable functions approach for approximate solutions of Linear space-time-fractional diffusion problems
... systematic method to derive the exact solu- tion of these equations, in this paper we partly solved a class of FPDE and obtained some approximating solution for it by provide an efficient approach based on ... See full document
24
Some optimal control problems of heat equations with weighted controls
... The time and norm optimal control problems are important and interesting branches of opti- ...norm optimal control problems were considered in [, ] for controlled ... See full document
16
Bezier Control Points Method to Solve Scheduling of Injections of Immunotherapeutic Agents
... of optimal control has been applied to find the optimal schedule of injections of an immunotherapeutic agent against ...numerical method employed works for any dynamic linear system and has ... See full document
6
Solving linear optimal control problems of the time-delayed systems by Adomian decomposition method
... This paper concerns with a class of nonlinear quadratic optimal control problem with multi-delay systems. Applying the main ideas of the shooting method to the basic and also an ADM. By applying the ... See full document
19
Vartiational Optimal Control Problems with Delayed Arguments on Time Scales
... about time scale are presented. The nabla time-scale derivative analysis is followed ...variational optimal control problem is proposed and ... See full document
15
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