Title : ( A numerical approximation for solving the fractional-order Riccati equation )
Authors: Mahmood Shareef Ajeel , Mortaza Gachpazan , Ali Reza Soheili ,
دانلود فایل برای اعضای دانشگاهAccess to full-text not allowed by authors
Abstract
In this paper, a numerical approximation for solving fractional Riccati equation is proposed. Our numerical method is based on fractional-order Muntz–Legendre functions to obtain a numerical approximation of unknown functions. Also we use Caputo fractional derivative for fractional calculus. Finally, by applying the collocation method, the Riccati equation leads to a system of algebraic equations that easily solvable. Some numerical examples show the efficiency and accuracy of the present method.
Keywords
, fractional Muntz–Legendre functions (FMLFs), fractional-order Riccati equation (FRE), Caputo fractional derivative.
@inproceedings{paperid:1082762,
author = {Ajeel, Mahmood Shareef and Gachpazan, Mortaza and Soheili, Ali Reza},
title = {A numerical approximation for solving the fractional-order Riccati equation},
booktitle = {1 International Conference on Boundary Value Problems and Applications. 4–5 July 2018, University of Tabriz},
year = {2018},
location = {تبریز, IRAN},
keywords = {fractional Muntz–Legendre functions (FMLFs); fractional-order
Riccati equation (FRE); Caputo fractional derivative.},
}
%0 Conference Proceedings
%T A numerical approximation for solving the fractional-order Riccati equation
%A Ajeel, Mahmood Shareef
%A Gachpazan, Mortaza
%A Soheili, Ali Reza
%J 1 International Conference on Boundary Value Problems and Applications. 4–5 July 2018, University of Tabriz
%D 2018
