In this paper, we consider a non-homogeneous time–space-fractional telegraph equation in n-dimensions, which is obtained from the standard by replacing first- and second-order time derivatives Caputo fractional of corresponding orders, Laplacian operator Sturm–Liouville defined terms right left Riemann–Liouville derivatives. Using method separation variables, derive series representations solut...

<abstract><p>In this paper, we consider the time-fractional telegraph equation of distributed order in higher spatial dimensions, where time derivative is sense Hilfer, thus interpolating between Riemann-Liouville and Caputo fractional derivatives. By employing techniques Fourier, Laplace, Mellin transforms, obtain a representation solution Cauchy problem associated with terms convo...

Finite element method (FEM) is an efficient numerical tool for the solution of partial differential equations (PDEs). It one most general methods when compared to other techniques. PDEs posed in a variational form over given space, say Hilbert are better numerically handled with FEM. The FEM algorithm used various applications which includes fluid flow, heat transfer, acoustics, structural mech...

In this paper, we apply the variational iteration method (VIM) for solving telegraph equations, which arise in the propagation of electrical signals along a telegraph line. The suggested algorithm is more efficient and easier to handle as compare to the decomposition method. Numerical results show the efficiency and accuracy of the proposed VIM.

In the study of LF noise in MOSFETS, it has become clear that Random Telegraph Signals (RTS) are dominant. When a MOSFET is subjected to large-signal excitation, the RTS noise is influenced. In this paper, we present different visualizations of the transient behaviour of the RTS. Keywords— MOSFET, Random Telegraph Signal, Large Signal Excitation, LF Noise.

In the Langevin or Ornstein-Uhlenbeck approach to diffusion, stochastic increments are applied to the velocity rather than to the space variable. The density of this process satisfies a linear partial differential equation of the general form of a transport equation which is hyperbolic with respect to the space variable but parabolic with respect to the velocity variable, the Klein-Kramers or s...