Forced Oscillation of Solutions of a Fractional Neutral Partial Functional Differential Equation

V. Sadhasivam, J. Kavitha^*

Post Graduate and Research Department of Mathematics, Thiruvalluvar Government Arts College, Rasipuram, Namakkal Dt. Tamil Nadu, India.

DOI: 10.4236/am.2015.68124                

Abstract

In this paper, we will establish the sufficient conditions for the oscillation of solutions of neutral time fractional partial differential equation of the form

for where Ω  is a bounded domain in R^N with a piecewise smooth boundary  is a constant, is the Riemann-Liouville fractional derivative of order a of u with respect to t and is the Laplacian operator in the Euclidean N-space R^N subject to the condition

Keywords

Fractional, Neutral, Oscillation, Partial, Functional

Conflicts of Interest

The authors declare no conflicts of interest.

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