Abstract We study some functionals associated with a process driven by fractional boundary value problem (FBVP for short). By FBVP we mean Cauchy condition written in terms of equation, that is an equation involving time-fractional derivative the sense Caputo. focus on lifetimes and additive characterizing conditions. show corresponding are related to telegraph equations. Moreover, order gives ...

in this paper, a parameter uniform numerical method based on shishkin mesh is suggested to solve a system of second order singularly perturbed differential equations with a turning point exhibiting boundary layers. it is assumed that both equations have a turning point at the same point. an appropriate piecewise uniform mesh is considered and a classical finite difference scheme is applied on t...