"Exponential Stability of Solutions of a Second Order System of Integro" by Eva Brestovanska and Milan Medved

Progress in Fractional Differentiation & Applications

Article Title

Exponential Stability of Solutions of a Second Order System of Integrodifferential Equations with the Caputo-Fabrizio Fractional Derivatives

Authors

Eva Brestovanska, Department of Economics and Finance, Faculty of Management, Comenius University, Odboj´arov str. 10, 831 04 Bratislava, Slovakia
Milan Medved

Author Country (or Countries)

Slovakia

Abstract

The paper deals with the stability problem for a nonlinear fractional differential equation depending on the Caputo-Fabrizio fractional derivatives without singular kernels of different orders and on power nonlinearities of different orders. We give conditions under which the equilibrium of the equation is exponentially stable. The proof of this result is based on the Pinto’s integral inequality.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/020303

Recommended Citation

Brestovanska, Eva and Medved, Milan (2016) "Exponential Stability of Solutions of a Second Order System of Integrodifferential Equations with the Caputo-Fabrizio Fractional Derivatives," Progress in Fractional Differentiation & Applications: Vol. 2: Iss. 3, Article 3.
DOI: http://dx.doi.org/10.18576/pfda/020303
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol2/iss3/3

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