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Journal of Applied Nonlinear Dynamics 6(4) (2017) 479--486 | DOI:10.5890/JAND.2017.12.004

D. Vivek; K. Kanagarajan; S. Harikrishnan

Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore - 641 020, Tamilnadu, India

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Abstract

This paper is devoted to proving the existence of solutions to frac- tional impulsive q-difference equations. An approach based on the Schaefer’s fixed point theorem to prove existence of the solution is presented. There is almost no work on the existence results for im- pulsive fractional q-difference equations. The main aim of this paper is to close this gap.

Acknowledgments

The authors are greatful 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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