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Journal of Vcibration Testing and System Dynamics 3(4) (2019) 481--487 | DOI:10.5890/JVTSD.2019.12.006

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 note, we establish the existence, uniqueness and stability of a special class of fractional pantograph equation with Atangana- Baleanu fractional derivative(ABFD). The arguments are based upon Schauder fixed point theorem and Banach contraction principle. In addition, we discuss the stability results of proposed equation by the concept of Ulam. At last an example is given to illustrate the theory.

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