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Uniqueness of solution for impulsive fractional functional differential equation

Sandeep Singhal|Pattani Samsudeen Sehik Uduman
대한수학회 (The Korean Mathematical Society)|2018.01|대한수학회논문집 (Communications of the KMS)|제33권 제1호|pp. 171-177

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키워드

fixed point theoremfractional order differential equationfunctional differential equationsimpulsive conditions
주제분류수학

초록

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.

Abstract

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.

참고문헌 (16)

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