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- Title
On the nonlinear dynamical systems within the generalized fractional derivatives with Mittag-Leffler kernel.
- Authors
Baleanu, Dumitru; Jajarmi, Amin; Hajipour, Mojtaba
- Abstract
The purpose of this paper is to study the existence and uniqueness of the solution of nonlinear fractional differential equations with Mittag-Leffler nonsingular kernel. Two numerical methods to solve this problem are designed, and their stability and error estimates are investigated by discretizing the convolution integral and using the Grönwall’s inequality. Finally, the theoretical results are verified by using five illustrative examples.
- Subjects
NONLINEAR dynamical systems; HAMMOND principle; GRONWALL inequalities; FRACTIONAL calculus; KERNEL functions; EXISTENCE theorems
- Publication
Nonlinear Dynamics, 2018, Vol 94, Issue 1, p397
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-018-4367-y