Existence of nonoscillatory solutions for fractional neutral functional differential equation

Velu Muthulakshmi; Subramani Pavithra

doi:10.26637/MJM0801/0003

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.

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

Velu Muthulakshmi Department of Mathematics, Periyar University, Salem, Tamil Nadu-636011, India.
Subramani Pavithra Department of Mathematics, Periyar University, Salem, Tamil Nadu-636011, India.

Pages: 12-19
Date Published: 01-01-2020
Vol. 8 No. 01 (2020): Malaya Journal of Matematik (MJM)

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