Abstract We propose a new finite difference scheme for the degenerate parabolic equation $$\begin{aligned} \partial _t u - \text{ div }(|\nabla u|^{p-2}\nabla u) =f, \quad p\ge 2. \end{aligned}$$ ? t u - ...

This paper considers the reliability of an M/G/1 queue with multiple adaptive vacations in which the arriving customers enter the system with probability p (0<p≤1) during vacations. Through appropriate assumptions, the model is studied by the total probability decomposition technique and the tool of Laplace transform. Some reliability indices are studied. Moreover, we give some numerical exampl...

We prove a well-posedness result for two pseudo-parabolic problems, which can be seen as models the same electrical conduction phenomenon in heterogeneous media, neglecting magnetic field. One of problems is concentration limit other one, when thickness dielectric inclusions goes to zero. The concentrated problem involves transmission condition through interfaces, mediated by suitable Laplace-B...

‎ in this paper, we investigate stability analysis of fractional differential systems equipped with the conformable fractional derivatives. some stability conditions of fractional differential systems are proposed by applying the fractional exponential function and the fractional laplace transform. moreover, we check the stability of conformable fractional lotka-volterra system with the multi-st...