Inverse Cauchy problem for fractional telegraph equations with distributions
Journal Title: Карпатські математичні публікації - Year 2016, Vol 8, Issue 1
Abstract
The inverse Cauchy problem for the fractional telegraph equation $$u^{(\alpha)}_t-r(t)u^{(\beta)}_t+a^2(-\Delta)^{\gamma/2} u=F_0(x)g(t),\quad (x,t) \in {\rm R}^n\times (0,T],$$ with given distributions in the right-hand sides of the equation and initial conditions is studied. Our task is to determinate a pair of functions: a generalized solution $u$ (continuous in time variable in general sense) and unknown continuous minor coefficient $r(t)$. The unique solvability of the problem is established.
Authors and Affiliations
H. P. Lopushanska, V. Rapita
Keywords
Related Articles
- EP ID EP262978
- DOI 10.15330/cmp.8.1.118-126
- Views 79
- Downloads 0
Family of wavelet functions on the Galois function base
We construct a family of wavelet systems on the Galois function base. We research and prove properties of systems of the built family.
Permanence of a discrete predator-prey system with nonmonotonic functional responses and endless delay
A discrete-time analogue of predator-prey model with nonmonotonic functional responses and endless delay is considered in the paper. We investigate the question of obtaining conditions of permanent behavior of the dynami...
Geometry of hypersurfaces of a quarter symmetric non metric connection in a quasi-Sasakian manifold
The purpose of the paper is to study the notion of CR-submanifold and the existence of some structures on a hypersurface of a quarter symmetric non metric connection in a quasi-Sasakian manifold. We study the existence o...
On Feller semigroup generated by solution of nonlocal parabolic conjugation problem
The paper deals with the problem of construction of Feller semigroup for one-dimensional inhomogeneous diffusion processes with membrane placed at a point whose position on the real line is determined by a given function...
Uniform boundary controllability of a discrete 1-D Schrödinger equation
In this paper we study the controllability of a finite dimensional system obtained by discretizing in space and time the linear 1-D Schrodinger equation with a boundary control. As for other problems, we can expect that...