https://doi.org/10.1140/epjp/i2019-12746-3
Regular Article
Numerical solutions of interval-valued fractional nonlinear differential equations
1
Data Recovery Key Laboratory of Sichuan Province, College of Mathematics and Information Science, Neijiang Normal University, 641100, Neijiang, China
2
School of Applied Mathematics, Nanjing University of Finance and Economics, 210023, Nanjing, Jiangsu, China
3
Department of Mathematics, Cankaya University, 06530, Balgat, Ankara, Turkey
4
Institute of Space Sciences, Magurele-Bucharest, Romania
* e-mail: lyberal@163.com
Received:
22
December
2018
Accepted:
16
February
2019
Published online:
23
May
2019
A class of interval-valued fractional nonlinear differential equations is proposed in this paper. The system is reduced to two kinds of standard fractional differential equations if w -monotone conditions are provided. Furthermore, two classes of fractional integral equations are obtained and the predictor-corrector method is used for numerical solutions.
© Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2019