Symmetry analysis of space-time fractional poisson equation with a delay

In this paper, we extended Lie symmetry theory to the class of spacetime fractional differential equation with a delay and carried out a complete group classification of space-time fractional Poisson equation with a constant delay. The admitted symmetries found are used to obtained some exact solutions.Key words: Mittag-Leffler function, Lie symmetries, fractional delay equatio

Exact solitary wave solution for the fractional and classical GEW-Burgers equations: an application of Kudryashov method

The fractional partial differential equations have wide applications in science and engineering. In this paper, the Kudryashov techniques were utilized to obtain an exact solution of both fractional generalized equal width (GEW)-Burgers and classical GEW-Burgers equations. The general analytical solutions of the two partial differential equations are constructed for n>1. The graphical representation of the solutions is given in comparison with some previous results in the literature. The advantages and disadvantages of the method were listed

On a Laminated Timoshenko Beam with Nonlinear Structural Damping

In the present work, we study a one-dimensional laminated Timoshenko beam with a single nonlinear structural damping due to interfacial slip. We use the multiplier method and some properties of convex functions to establish an explicit and general decay result. Interestingly, the result is established without any additional internal or boundary damping term and without imposing any restrictive growth assumption on the nonlinear term, provided the wave speeds of the first equations of the system are equal