Abstract

Legendre Multiwavelet Method for the Solution of Linear Fractional Time Delay Systems

S. C. Shiralashetti*1 and B. S. Hoogar2

*1 Department of Mathematics, Karnatak University, Dharwad - 580003, Karnataka, INDIA. 2Department of Mathematics, S. D. M. College of Engineering and Technology, Dharwad-580002, Karnataka, INDIA.

ABSTRACT

This research article provides the numerical technique for the solution of fractional time delay systems using Legendre multiwavelet method. The fundamental properties of Legendre multiwavelets along with collocation method are converting the problem of delay system into system of algebraic equations which can be solved with a suitable tool. The Lyapunov stability theorem is added for the fractional system with delay. Numerical examples are included to prove the straightforwardness, efficiency and wide range applicability of the present technique.

Keywords :Legendre Multiwavelet; Collocation method; Time delay system; Convergence.

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