Article overview
Abstract
In this paper, a new fractional integration operational matrix of the Chebyshev Wavelets is derived and is used to solve multi-order fractional differential equations. The greater advantage behind the proposed matrix is that any fractional differential equation is reduced into a system of algebraic equations. We show the simplicity, the efficiency and the appropriateness of the proposed technique with some numerical examples.
Keywords and Phrases
Fractional derivatives and integralsChebyshev waveletsFractional differential equationsOperational matrix.
AMS Subject Classification
26A33, 34A08.
Reference information
How to Cite
R. Aruldoss, R. Anusuya Devi (2022). AN EFFICIENT FRACTIONAL INTEGRATION OPERATIONAL MATRIX OF THE CHEBYSHEV WAVELETS AND ITS APPLICATIONS FOR MULTI-ORDER FRACTIONAL DIFFERENTIAL EQUATIONS. South East Asian Journal of Mathematics and Mathematical Sciences, 18(1), 147-158.