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Numerical Approach for Solving Fractional Pantograph Equation

by Ayse Anapali, Yalcin Ozturk, Mustafa Gulsu
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 113 - Number 9
Year of Publication: 2015
Authors: Ayse Anapali, Yalcin Ozturk, Mustafa Gulsu
10.5120/19857-1801

Ayse Anapali, Yalcin Ozturk, Mustafa Gulsu . Numerical Approach for Solving Fractional Pantograph Equation. International Journal of Computer Applications. 113, 9 ( March 2015), 45-52. DOI=10.5120/19857-1801

@article{ 10.5120/19857-1801,
author = { Ayse Anapali, Yalcin Ozturk, Mustafa Gulsu },
title = { Numerical Approach for Solving Fractional Pantograph Equation },
journal = { International Journal of Computer Applications },
issue_date = { March 2015 },
volume = { 113 },
number = { 9 },
month = { March },
year = { 2015 },
issn = { 0975-8887 },
pages = { 45-52 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume113/number9/19857-1801/ },
doi = { 10.5120/19857-1801 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:50:32.110197+05:30
%A Ayse Anapali
%A Yalcin Ozturk
%A Mustafa Gulsu
%T Numerical Approach for Solving Fractional Pantograph Equation
%J International Journal of Computer Applications
%@ 0975-8887
%V 113
%N 9
%P 45-52
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this article, we have investigate a Taylor collocation method, which is based on collocation method for solving fractional pantograph equation. This method is based on first taking the truncated fractional Taylor expansions of the solution function in the mathematical model and then substituting their matrix forms into the equation. Using the collocation points, we have the system of nonlinear algebraic equation. Then, we solve the system of linear algebraic equation using Maple 14 and we obtain the coefficients of Taylor expansion. In addition illustrative example is presented to demonstrate the effectiveness of the proposed method.

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Index Terms

Computer Science
Information Sciences

Keywords

Fractional pantograph equation pantograph equation fractional differential equation mathematical model collocation method approximate solution

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