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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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Abstract

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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