Title : ( A numerical approximation for solving the fractional-order Riccati equation )
Authors: Mahmood Shareef Ajeel , Mortaza Gachpazan , Ali Reza Soheili ,
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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
, ractional Muntz–Legendre functions -FMLFs-, fractional-order Riccati equation -FRE-, Caputo fractional derivative.
@inproceedings{paperid:1074027,
author = {Ajeel, Mahmood Shareef and Gachpazan, Mortaza and Soheili, Ali Reza},
title = {A numerical approximation for solving the fractional-order Riccati equation},
booktitle = {1th International Conference on Boundary Value Problems and Applications},
year = {2018},
location = {تبریز, IRAN},
keywords = {ractional 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 1th International Conference on Boundary Value Problems and Applications
%D 2018
