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

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DOI: 10.4236/am.2015.68124    3,542 Downloads   4,719 Views  Citations

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 RN 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 RN subject to the condition

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Sadhasivam, V. and Kavitha, J. (2015) Forced Oscillation of Solutions of a Fractional Neutral Partial Functional Differential Equation. Applied Mathematics, 6, 1302-1317. doi: 10.4236/am.2015.68124.

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