Existence of  nonoscillatory solutions for fractional neutral functional differential equation

Velu Muthulakshmi 1 * and Subramani Pavithra 2

doi:10.26637/MJM0801/0003

Existence of nonoscillatory solutions for fractional neutral functional differential equation

Authors :

Velu Muthulakshmi ^{1 *} and Subramani Pavithra²

Author Address :

^1,2 Department of Mathematics, Periyar University, Salem, Tamil Nadu-636011, India.

*Corresponding author.

Abstract :

In this paper, we study the existence of nonoscillatory solutions for a kind of fractional neutral functional differential equation with Liouville fractional derivative of order $\alpha\geq 0$ on the half-axis. Some sufficient conditions are established using Krasnoselskii's and Schauder's fixed point theorems.

Keywords :

Nonoscillatory solution, Liouville fractional derivative, neutral equation.

DOI :

10.26637/MJM0801/0003

Article Info :

Received : October 19, 2019; Accepted : December 17, 2019.