Solution to fractional-order Riccati differential equations using Euler wavelet method
Scientia Iranica, vol.26, pp.1608-1616, 2019 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 26
- Publication Date: 2019
- Doi Number: 10.24200/sci.2018.51246.2084
- Journal Name: Scientia Iranica
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.1608-1616
- Keywords: Euler wavelet, Fractional calculus, Operational matrix, Numerical solution, Riccati differential equations, HOMOTOPY PERTURBATION METHOD, APPROXIMATE SOLUTION, NUMERICAL-SOLUTION, MODELS, SYSTEM
- Open Archive Collection: AVESIS Open Access Collection
- Yıldız Technical University Affiliated: Yes
Abstract
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 obtaining solutions to the FDEs. In this paper, we derive numerical solutions to 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 validity and efficiency of the technique. (C) 2019 Sharif University of Technology. All rights reserved.