Approximate solutions for solving nonlinear variable-order fractional Riccati differential equations-Reference-Cited by-同舟云学术

Approximate solutions for solving nonlinear variable-order fractional Riccati differential equations

Published:2019-02-01 Issue:2 Volume:24 Page:176-188
ISSN:1392-5113
Container-title:Nonlinear Analysis: Modelling and Control
language:
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Author:

Doha Eid H.¹,Abdelkawy Mohamed A.²,Amin Ahmed Z.M.³,Baleanu Dumitru⁴

Affiliation:

1. Cairo University

2. Department of Mathematics and Statistics, College of Science, Al-Imam Mohammad Ibn Saud Islamic University; Department of Mathematics, Faculty of Science, Beni-Suef University

3. Department of Basic Science, Institute of Engineering, Canadian International College (CIC), Giza, Egypt

4. Department of Mathematics, Cankaya University; Institute of Space Sciences, Magurele-Bucharest, Romania

Abstract

In this manuscript, we introduce a spectral technique for approximating the variable-order fractional Riccati equation (VO-FRDEs). Firstly, the solution and its space fractional derivatives is expanded as shifted Chebyshev polynomials series. Then we determine the expansion coefficients by reducing the VO-FRDEs and its conditions to a system of algebraic equations. We show the accuracy and applicability of our numerical approach through four numerical examples.

Publisher

Vilnius University Press

Subject

Applied Mathematics,Analysis

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