Loading...
Please wait, while we are loading the content...
Similar Documents
Approximate Solutions for a Certain Class of Fractional Optimal Control Problems Using Laguerre Collocation Method
| Content Provider | Semantic Scholar |
|---|---|
| Author | Adel, Mohamed |
| Copyright Year | 2017 |
| Abstract | In this paper, an approximate formula of the fractional derivatives (Caputo sense) is derived. The proposed formula is based on the generalized Laguerre polynomials. Special attention is given to study the convergence analysis of the presented formula. The spectral Laguerre collocation method is presented for solving a class of fractional optimal control problems (FOCPs). The properties of Laguerre polynomials approximation and Rayleigh-Ritz method are used to reduce FOCPs to solve a system of algebraic equations which solved using Newton iteration method. Numerical results are provided to confirm the theoretical results and the efficiency of the proposed method. Mathematics Subject Classification: 65N20, 41A30 |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.m-hikari.com/imf/imf-2017/5-8-2017/p/khaderIMF5-8-2017.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Algebraic equation Approximation algorithm Collocation method Convergence (action) Iteration Laguerre polynomials Linear algebra Mathematics Subject Classification Newton Newton's method Numerical method Optimal control Polynomial Rayleigh–Ritz method |
| Content Type | Text |
| Resource Type | Article |
