In this paper, we examine the space discretization of time fractional telegraph equation (TFTE) with Mamadu-Njoseh orthogonal basis functions. For ease and convenience, deal derivative by first converting from Caputo’s type to Riemann-Liouville’s type. The proposed method was constrained precise error analysis establish accuracy method. Numerical experimentation implemented aid MAPLE 18 show co...

We here study random evolutions on Banach spaces, driven by a class of semi-Markov processes. The expectation (in the sense Bochner) such is shown to solve some abstract Cauchy problems. Further, telegraph (damped wave) equation generalized case perturbations. A special attention devoted models scattering transport processes which can be represented through these evolutions. In particular, we c...

The interaction between the telegraph noise and background voltage fluctuations in the current induced dissipative state of high-Tc BiSrCaCuO thin films has been investigated. Experimental time records of the voltage drop across current biased thin film strips show markedly different background noise traces in the up and down telegraph states. Detailed analysis demonstrates that fluctuations ar...

The inverse tempered stable subordinator is a stochastic process that models power law waiting times between particle movements, with an exponential tempering that allows all moments to exist. This paper shows that the probability density function of an inverse tempered stable subordinator solves a tempered time-fractional diffusion equation, and its ‘‘folded’’ density solves a tempered time-fr...

The present paper uses new approach and methodology to solve second order one dimensional hyperbolic telegraph equation numerically by B-spline collocation method. It is based on collocation of modified cubic B-spline basis functions over the finite elements. The given equation is decomposed into system of equations and modified cubic B-spline basis functions have been used for spatial variable...

In this work, we aim to determine the possible soliton solutions and examine behaviors of (1+1)-dimensional non-linear Telegraph equation (NTE) which is used model signal processing for propagation transmission electric impulses also wave theory process by using extended Kudryashov method. We started finding ordinary differential form (1+1)-NTE with aid a suitable transformation. Then, method a...