New Numerical Approach for Fractional Variational Problems Using Shifted Legendre Orthonormal Polynomials |
| |
| Authors: | Samer S. Ezz-Eldien Ramy M. Hafez Ali H. Bhrawy Dumitru Baleanu Ahmed A. El-Kalaawy |
| |
| Affiliation: | 1.Department of Mathematics, Faculty of Science,Assiut University,El-Kharja,Egypt;2.Department of Basic Science, Institute of Information Technology,Modern Academy,Cairo,Egypt;3.Department of Mathematics, Faculty of Science,Beni-Suef University,Beni-Suef,Egypt;4.Department of Mathematics and Computer Sciences, Faculty of Art and Sciences,?ankaya University,Balgat, Ankara,Turkey;5.Institute of Space Sciences,Magurele-Bucharest,Romania |
| |
| Abstract: | This paper reports a new numerical approach for numerically solving types of fractional variational problems. In our approach, we use the fractional integrals operational matrix, described in the sense of Riemann–Liouville, with the help of the Lagrange multiplier technique for converting the fractional variational problem into an easier problem that consisting of solving an algebraic equations system in the unknown coefficients. Several numerical examples are introduced, combined with their approximate solutions and comparisons with other numerical approaches, for confirming the accuracy and applicability of the proposed approach. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
