in this article, an analytical approximate solution of nonlinear fractional convection-diffusion with modifiedriemann-liouville derivative was obtained with the help of fractional variational iteration method (fvim). a newapplication of fractional variational iteration method (fvim) was extended to derive analytical solutions in theform of a series for this equation. it is indicated that the so...

Physical phenomena and natural disasters, such as tsunamis floods, are caused due to dispersive water waves shallow by earthquakes. In order analyze minimize damaging effects of situations, mathematical models presented different researchers. The Wu–Zhang (WZ) system is one model that describes long waves. this regard, the current study focuses on a non-linear (2 + 1)-dimensional time-fractiona...

analyzing the nonlinear vibration of beams is one of the important issues in structural engineering. according to this, an impressive analytical method which is called modified iteration perturbation method (mipm) is used to obtain the behavior and frequency of a cantilever beam with geometric nonlinear. this new method is combined by the mickens and iteration methods. moreover, this method don...

This study deals with the numerical solution of human immunodeficiency virus (HIV) infection model, which is a significant problem for global public health. Acquired syndrome (AIDS) communicable disease, and HIV causative agent AIDS, damages ability body to fight against disease easily usual innocuous infections attack body. On entering body, infects large amount CD4+ T-cells disturbs supply ra...

in this paper, we implemented the modified iteration perturbation method (mipm) for approximating the periodic behavior of a tapered beam. this problem is formulated as a nonlinear ordinary differential equation with linear and nonlinear terms. the solution is quickly convergent and does not need to complicated calculations. comparing the results of the mipm with the exact solution shows that t...