[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c170100

UNIQUENESS OF SOLUTION FOR IMPULSIVE FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATION

Singhal, Sandeep (Department of Mathematics B. S. Abuar Rahman University)
Uduman, Pattani Samsudeen Sehik (Department of Mathematics B. S. Abuar Rahman University)

Publication Information

Communications of the Korean Mathematical Society / v.33, no.1, 2018 , pp. 171-177 More about this Journal

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.

Keywords

fractional order differential equation; functional differential equations; impulsive conditions; fixed point theorem;

Citations & Related Records

Reference

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