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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Continuability of Lienard's Type System with Generalized Local Derivative

Discontinuity, Nonlinearity, and Complexity 12(1) (2023) 1--11 | DOI:10.5890/DNC.2023.03.001

George E. Chatzarakis, Juan E. Nápoles Valdés

Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE), Marousi 15122, Athens, Greece

UNNE, FaCENA, Ave. Libertat 5450, Corrientes, 3400, Argentina

UTN-FRRE, French 414, Resistencia, Chaco 3500, Argentina

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Abstract

In this paper, we study the boundedness and continuability of the solutions of a generalized Liénard type system, using fractional derivatives of the local type. We obtain sufficient conditions for the solutions to be bounded and continuous by a suitably defined Lyapunov function. We illustrate the results and suggest extensions to asymptotic stability, through various examples adapted from the relevant literature.

Acknowledgments

The authors thank the Reviewer for his/her constructive suggestions and useful corrections that improved the content of the paper.

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