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Journal of Vibration Testing and System Dynamics

C. Steve Suh (editor), Pawel Olejnik (editor),

Xianguo Tuo (editor)

Pawel Olejnik (editor)

Lodz University of Technology, Poland


C. Steve Suh (editor)

Texas A&M University, USA


Xiangguo Tuo (editor)

Sichuan University of Science and Engineering, China


Stability of Higher Order Nonlinear Implicit Fractional Differential Equations by Fixed Point Technique

Journal of Vibration Testing and System Dynamics 5(2) (2021) 169--180 | DOI:10.5890/JVTSD.2021.06.005

Kausika Chellamuthu

Department of Mathematics, Bharathiar University, Coimbatore, TN 641046, India

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This paper constructs a theoretical framework to analyze stability of higher order nonlinear implicit fractional differential equations. The main theorem asserts the stability and asymptotic stability by making use of Krasnoselskii's fixed point technique. Results are established in a weighted Banach space to arrive at the compactness requirements directly. Two examples are provided to illustrate the theory.


\noindent The author would like to thank Prof. Dr. K. Balachandran and Dr. N. Annapoorani, for their support and suggestions to carry out this research work.


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