In this study, the Lie symmetry analysis is given for time-fractional telegraph equation with Riemann–Liouville derivative. This useable to describe physical processes of models possessing memory. By applying classical and nonclassical α , β derivatives some technical computations, new infinitesimal gen...

An efficient matrix formalism for finding power series solutions to boundary value problems typical for technological plasticity is developed. Hyperbolic system of two first order quasilinear PDEs that models two-dimensional plastic flow of von Mises material is converted to the telegraph equation by the hodograph transformation. Solutions to the boundary value problems are found in terms of hy...

We study a class of hyperbolic stochastic partial differential equations in Euclidean space, that includes the wave equation and the telegraph equation, driven by Gaussian noise concentrated on a hyperplane. The noise is assumed to be white in time but spatially homogeneous within the hyperplane. Two natural notions of solutions are function-valued solutions and random field solutions. For the ...

A new technique to study the telegraph equation, mostly familiar as damped wave equation is introduced in this study. This phenomenon rising electromagnetic influences and production of electric signals. The proposed called He-Fractional Laplace with help Homotopy perturbation utilized found exact nearly approximated results differential model numerical example or article. most unique term that...

We perform the analysis of a hyperbolic model which is the analog of the Fisher-KPP equation. This model accounts for particles that move at maximal speed ε (ε > 0), and proliferate according to a reaction term of monostable type. We study the existence and stability of traveling fronts. We exhibit a transition depending on the parameter ε: for small ε the behaviour is essentially the same as f...