Author(s)

Tamour Zubair^1,2*, Marriam Sajjad³, Rehmatullah Madni², Amna Shabir²

¹Department of Applied Mathematics and Statics, Institute of Space and Technology, Islamabad, Pakistan.
²Department of Mathematics, University of Sargodah, Lyallpur Campus, Faisalabad, Pakistan.
³Department of Mathematics, University of Lahore, Lahore, Pakistan.

In this paper, a new methodology of fractional derivatives based upon Hermite polynomial is projected. The fractional derivatives are demonstrated according to Caputo sense. Hermite collocation technique is introduced to express the definite results of Bagley-Torvik Equations. The appropriateness and straightforwardness of numerical plan is presented by graphs and error tables.

MAPLE 13, Bagley-Torvik Equations, Hermite Polynomials, Fractional Calculus

Zubair, T. , Sajjad, M. , Madni, R. and Shabir, A. (2017) Hermite Solution of Bagley-Torvik Equation of Fractional Order. International Journal of Modern Nonlinear Theory and Application, 6, 104-118. doi: 10.4236/ijmnta.2017.63010.