## Abstract and Applied Analysis

- Abstr. Appl. Anal.
- Volume 2014, Special Issue (2014), Article ID 692193, 7 pages.

### A Modified Generalized Laguerre-Gauss Collocation Method for Fractional Neutral Functional-Differential Equations on the Half-Line

Ali H. Bhrawy, Abdulrahim AlZahrani, Dumitru Baleanu, and Yahia Alhamed

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#### Abstract

The modified generalized Laguerre-Gauss collocation (MGLC) method is applied to obtain an approximate solution of fractional neutral functional-differential equations with proportional delays on the half-line. The proposed technique is based on modified generalized Laguerre polynomials and Gauss quadrature integration of such polynomials. The main advantage of the present method is to reduce the solution of fractional neutral functional-differential equations into a system of algebraic equations. Reasonable numerical results are achieved by choosing few modified generalized Laguerre-Gauss collocation points. Numerical results demonstrate the accuracy, efficiency, and versatility of the proposed method on the half-line.

#### Article information

**Source**

Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 692193, 7 pages.

**Dates**

First available in Project Euclid: 2 October 2014

**Permanent link to this document**

https://projecteuclid.org/euclid.aaa/1412277349

**Digital Object Identifier**

doi:10.1155/2014/692193

**Mathematical Reviews number (MathSciNet)**

MR3224319

**Zentralblatt MATH identifier**

07022891

#### Citation

Bhrawy, Ali H.; AlZahrani, Abdulrahim; Baleanu, Dumitru; Alhamed, Yahia. A Modified Generalized Laguerre-Gauss Collocation Method for Fractional Neutral Functional-Differential Equations on the Half-Line. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 692193, 7 pages. doi:10.1155/2014/692193. https://projecteuclid.org/euclid.aaa/1412277349

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