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Linear systems of fractional nabla difference equations. (English) Zbl 1218.39003
The authors consider a system of linear fractional nabla difference equations with constant coefficients of the form $$\nabla_0^\nu y(t)=Ay(t)+f(t),\quad t=1,2,\dots,$$ where $A$ denotes an $n\times n$ matrix with constant entries, $0<\nu<1$ and $\nabla_0^\nu$ is the Riemann-Liouville fractional difference operator. They construct the fundamental matrix for the homogeneous system and the causal Green’s function for the nonhomogeneous system. Applications to asymptotic behavior are given.

##### MSC:
 39A06 Linear equations (difference equations) 39A12 Discrete version of topics in analysis 26A33 Fractional derivatives and integrals (real functions) 34A08 Fractional differential equations
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##### References:
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