This work considers discrete fractional nonlinear equations with Riemann-Liouville (R-L) type difference operator of the form Δ~β[v(l)-p(l,v(l))]=f(l+β,v(l+β)),l∈N_0,0<β≤1 Δ~(β-1)v(l)_(|l=0)=v(0)=c. The discrete Arzela-Ascoli's theorem and Krasnoselkii's theorem are employed to study the asymptotic stability of the fractional equation. An example illustrating the main result is provided.
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机译：该工作考虑了与riemann-liouville（R1）δ〜β[v（l）-p（l，v（l））] = f（l +β，v（l + β）），L∈N_0,0<β≤1δ〜（β-1）V（L）_（1）=（| L = 0）= V（0）= C. 采用离散的Arzela-Ascoli的定理和Krasnoselkii定理来研究分数方程的渐近稳定性。 提供了示出主要结果的示例。
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