Homotopy Analysis Method for Nonlinear Differential Equations with Fractional Orders

In the case of mere pullback or forward stability one cannot expect to obtain a periodic and decaying Lyapunov function V e p ˜ for the original skew product flow, because the

To illustrate the validity and advantages of the method, the (3+1)-dimensional po- tential Yu-Toda-Sasa-Fukuyama (YTSF) equation is considered and more general travelling wave

In the past several decades, many effec- tive methods for obtaining exact solutions of NLEEs have been presented, such as the inverse scattering method [1], Hirota’s bilinear

Analysis of Fractional Nonlinear Differential Equations Using the Homotopy Perturbation Method.. Mehmet Ali Balcı and

In this problem finding more it- erations of He’s variational iteration method is very time consuming, so modification of the initial guess can provide an accurate and

The results show that the method provides a straightforward and powerful mathematical tool for solving various nonlinear integro-differential equations. Key words: He’s

The discretized modified Korteweg- de Vries (mKdV) lattice equation and the discretized nonlinear Schr¨odinger equation are taken as examples to illustrate the validity and the

In this thesis we study piecewise polynomial collocation methods for solving weakly singular Volterra and Fredholm integro-differential equations, where the approximate solution