On Oscillation of Fractional Functional Differential Equations with Constant Coefficients

Abstract

In this paper the qualitative behaviour of solutions of fractional functional differential and forced fractional functional differential equations with constant coefficients as well as constant positive and negative coefficients have been studied. The Riemann-Liouville definition of fractional order derivatives have been used throughout the paper. Several results have been obtained related to the oscillatory behaviour of solutions of such type of fractional functional differential equations and they have been justified with suitable examples.
Keywords: Oscillation; Fractional differential equation ; Functional differential equation ; Riemann-Liouville fractional derivative.
Mathematics Subject Classification (2010):34A08;34C10