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Commun. Korean Math. Soc. 2018; 33(1): 171-177
Online first article January 16, 2018 Printed January 31, 2018
https://doi.org/10.4134/CKMS.c170100
Copyright © The Korean Mathematical Society.
Uniqueness of solution for impulsive fractional functional differential equation
Sandeep Singhal, Pattani Samsudeen Sehik Uduman
B. S. Abuar Rahman University, B. S. Abuar Rahman University
In this research paper considering a differential equation with impulsive effect and dependent delay and applied Banach fixed point theorem using the impulsive condition to the impulsive fractional functional differential equation of an order $\alpha\in (1,2)$ to get an uniqueness solution. At last, theorem is verified by using a numerical example to illustrate the uniqueness solution.
Keywords: fractional order differential equation, functional differential equations, impulsive conditions, fixed point theorem
MSC numbers: 26A33, 34K05, 34A12, 34A37
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