%0 Journal Article
%T Solution to fractional-order Riccati differential equations using Euler wavelet method
%J Scientia Iranica
%I Sharif University of Technology
%Z 1026-3098
%A Turan Dincel, A.T.
%D 2019
%\ 06/01/2019
%V 26
%N 3
%P 1608-1616
%! Solution to fractional-order Riccati differential equations using Euler wavelet method
%K Euler wavelet
%K fractional calculus
%K operational matrix
%K numerical solution
%K Riccati differential equations
%R 10.24200/sci.2018.51246.2084
%X The fractional-order differential equations (FDEs) have the ability to model the real-life phenomena better in a variety of applied mathematics, engineering disciplines including diffusive transport, electrical networks, electromagnetic theory, probability and so forth. In most cases, there are no analytical solutions therefore a variety of numerical methods have been developed for the solution of the FDEs. In this paper, we derive the numerical solutions of the various fractional-order Riccati type differential equations using the Euler Wavelet Method (EWM). The Euler wavelet operational matrix method converts the fractional differential equations to a system of algebraic equations. Illustrative examples are included to demonstrate the validity and efficiency of the technique.
%U https://scientiairanica.sharif.edu/article_21122_635e49eaf78c35526b9b41fd1b07a313.pdf