THE APPROXIMATE AND EXACT SOLUTIONS OF THE FRACTIONAL-ORDER DELAY DIFFERENTIAL EQUATIONS USING LEGENDRE SEUDOSPECTRAL METHOD

By Mohamed M. Khader, Ahmed S. Hendy. 2012

142 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/33b01afb14a54580c8717de402da8863ccc3167d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Dinghua Xu
2. Qifeng Zhang
3. Yin Yang
4. Yunqing Huang
5. Maohua Ran

Citations in the corpus

• Analysis of the compact difference scheme for the semilinear fractional partial differential equation with time delay (2017, methodology): “[16]Khader andHendy proposed an efficient numericalmethod for solving the fractional delay differential equations based onLegendre approximations.[17]Wang developed a numerical method for nonlinear fractional differential equations with constant or time-varying delay via combining the general Adams–”
• Spectral-Collocation Methods for Fractional Pantograph Delay-Integrodifferential Equations (2013, methodology): “Spectral methods have been proposed to solve fractional differential equations, such as the Legendre collocation method [11, 12], Legendre wavelets method [13, 14], and Jacobi-Gauss-Lobatto collocation method [15].”