$Solutions of the linear and nonlinear differential equations within the generalized fractional derivatives$

Solutions of the linear and nonlinear differential equations within the generalized fractional derivatives

The main goal of this work is to find the solutions of linear and nonlinear fractional differential equations with the Mittag-Leffler nonsingular kernel. An accurate numerical method to search this problem has been constructed. The theoretical results are proved by utilizing two experiments.

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Bibliographische Detailangaben
Veröffentlicht in:	Chaos (Woodbury, N.Y.) N.Y.), 2019-02, Vol.29 (2), p.023108-023108
1. Verfasser:	Akgül, Esra Karatas
Format:	Artikel
Sprache:	eng
Schlagworte:	Nonlinear differential equations Nonlinear equations Numerical methods
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	The main goal of this work is to find the solutions of linear and nonlinear fractional differential equations with the Mittag-Leffler nonsingular kernel. An accurate numerical method to search this problem has been constructed. The theoretical results are proved by utilizing two experiments.
ISSN:	1054-1500 1089-7682
DOI:	10.1063/1.5084035