## 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 $$A(t)$$ formulated in a Hilbert space $$H$$. The stability estimates for the solution of the difference scheme are shown.

### MSC:

 65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs 65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs 35L10 Second-order hyperbolic equations 35R11 Fractional partial differential equations
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### References:

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