| contributor author | Zaky, M. A. | |
| contributor author | Doha, E. H. | |
| contributor author | Tenreiro Machado, J. A. | |
| date accessioned | 2019-02-28T11:12:14Z | |
| date available | 2019-02-28T11:12:14Z | |
| date copyright | 8/22/2018 12:00:00 AM | |
| date issued | 2018 | |
| identifier issn | 1555-1415 | |
| identifier other | cnd_013_10_101007.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl1/handle/yetl/4253786 | |
| description abstract | In this paper, we construct and analyze a Legendre spectral-collocation method for the numerical solution of distributed-order fractional initial value problems. We first introduce three-term recurrence relations for the fractional integrals of the Legendre polynomial. We then use the properties of the Caputo fractional derivative to reduce the problem into a distributed-order fractional integral equation. We apply the Legendre–Gauss quadrature formula to compute the distributed-order fractional integral and construct the collocation scheme. The convergence of the proposed method is discussed. Numerical results are provided to give insights into the convergence behavior of our method. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | A Spectral Numerical Method for Solving Distributed-Order Fractional Initial Value Problems | |
| type | Journal Paper | |
| journal volume | 13 | |
| journal issue | 10 | |
| journal title | Journal of Computational and Nonlinear Dynamics | |
| identifier doi | 10.1115/1.4041030 | |
| journal fristpage | 101007 | |
| journal lastpage | 101007-6 | |
| tree | Journal of Computational and Nonlinear Dynamics:;2018:;volume( 013 ):;issue: 010 | |
| contenttype | Fulltext | |
