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A note on the fractional hyperbolic differential and difference equations. (English) Zbl 1221.65212
The paper presents a first order difference scheme applied on an hyperbolic boundary value problem with a fractional differential equation with a self-adjoint operator $A\left(t\right)$ formulated in a Hilbert space $H$. The stability estimates for the solution of the difference scheme are shown.
MSC:
 65M06 Finite difference methods (IVP of PDE) 65M12 Stability and convergence of numerical methods (IVP of PDE) 35L10 Second order hyperbolic equations, general 35R11 Fractional partial differential equations
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