Stability for impulsive implicit Hadamard fractional differential equations

P. Karthikeyanl1* and R.Arul2

doi:10.26637/MJM0601/0004

Stability for impulsive implicit Hadamard fractional differential equations

Authors :

P. Karthikeyanl^1* and R.Arul²

Author Address :

^_1,2Department of Mathematics, Sri Vasavi college, Erode-638 136, Tamil Nadu, India.

*Corresponding author.

Abstract :

In this paper, we analyze the uniqueness and stability for implicit fractional differential equations with impulsive conditions involving the hadamard derivative of fractional order $alpha$. An illustrative example is also presented.

Keywords :

Hadamard fractional derivative, Implicit Fractional Differential equations, Impulsive condition, UH (Ulam-Hyers) stability and generalized UH (Ulam-Hyers) stability.

DOI :

10.26637/MJM0601/0004

Article Info :

Received : October 24, 2017; Accepted : December 09, 2017.