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Journal: International Journal of Mathematical Research

Abstract: This paper presents an investigation of the behavior of the multi-order fractional differential equation MFDE. We derive expressions for the transition curves separating regions of stability from instability for the MFDE generally and the particular case K=2. Employing the harmonic balance technique, we obtained approximate expressions for the n=1 and n=2 transition curves of the MFDE and particularly for the case k=2. We also obtained an approximate analytical solution to the multi-order fractionally damped and forced Duffing-Mathieu equation as well as some special cases computationally using the Homotopy Perturbation Method HPM.

Arts and Education

International Journal of Mathematical Research

Month: 02-2016 Issue: 2



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