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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


Analysisof NonlinearNeutral PantographDifferentialEquationswith ψ -fractional Derivative

Journal of Vibration Testing and System Dynamics 2(1) (2018) 33--41 | DOI:10.5890/JVTSD.2018.03.004

S. Harikrishnan, K. Kanagarajan, D. Vivek

Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, India

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In this paper, we discuss the existence, uniqueness and stability of nonlinear neutral pantograph equation with ψ -fractional derivative. The arguments are based upon Schauder fixed point theorem and Banach contraction principle. Moreover, we discuss the Ulam-Hyers type stability.


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