Modified finite difference method for solving fractional delay differential equations

In this paper we present and discuss a new numerical scheme for solving fractional delay differential equations of the general form: $$D^{\beta}_{*}y(t)=f(t,y(t),y(t-\tau),D^{\alpha}_{*}y(t),D^{\alpha}_{*}y(t-\tau))$$ on $a\leq t\leq b$,$0<\alpha\leq1$,$1<\beta\leq2$ and under the following in...

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Bibliographic Details
Main Authors: Behrouz Parsa Moghaddam, Zeynab Salamat Mostaghim
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2017-01-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/25081