On the Nonlinear Dynamical Systems Within the Generalized Fractional Derivatives With Mittag-Leffler Kernel
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Date
2018
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
Green Open Access
No
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Publicly Funded
No
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Impulse
Top 1%
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Top 1%
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Top 1%
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 Gronwall's inequality. Finally, the theoretical results are verified by using five illustrative examples.
Description
Keywords
Fractional Differential Equation, Mittag-Leffler Function, Nonsingular Kernel, Numerical Method D, Mittag-Leffler function, fractional differential equation, nonsingular kernel, numerical method, Fractional ordinary differential equations
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
Baleanu, Dumitru; Jajarmi, Amin; Hajipour, Mojtaba, "On the nonlinear dynamical systems within the generalized fractional derivatives with Mittag-Leffler kernel", Nonlinear Dynamics, Vol. 94, No. 1, pp. 397-414, (2018).
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
146
Source
Nonlinear Dynamics
Volume
94
Issue
1
Start Page
397
End Page
414
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Scopus : 160
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