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Journal of Applied Nonlinear Dynamics 7(2) (2018) 179--187 | DOI:10.5890/JAND.2018.06.006

D. Vivek; K. Kanagarajan; S. Harikrishnan

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

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Abstract

In this paper, we study the existence, uniqueness and stability of solutions for fractional pantograph equations with complex order. The Krasnoselkii’s fixed point theorem and Banach contraction principle are used to obtain the desired results.

Acknowledgments

This work was financially supported by the Tamilnadu State Council for Science and Technology, Dept. of Higher Education, Government of Tamilnadu.The authors are grateful to the referees for their careful reading of the manuscript and valuable comments. The authors thank the help from editor too.

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