Some results on linear nabla Riemann‐Liouville fractional difference equations,Mathematical Methods in the Applied Sciences

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Some results on linear nabla Riemann‐Liouville fractional difference equations
Mathematical Methods in the Applied Sciences ( IF 2.1 ) Pub Date : 2020-03-13 , DOI: 10.1002/mma.6337
Pham The Anh ₁ , Artur Babiarz ₂ , Adam Czornik ₂ , Michal Niezabitowski ₂ , Stefan Siegmund ₃

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In this paper, we establish some criteria for boundedness, stability properties, and separation of solutions of autonomous nonlinear nabla Riemann‐Liouville scalar fractional difference equations. To derive these results, we prove the variation of constants formula for nabla Riemann‐Liouville fractional difference equations.

中文翻译：

关于线性Nabla Riemann-Liouville分数差分方程的一些结果

在本文中，我们建立了自治非线性nabla Riemann-Liouville标量分数阶差分方程解的有界性，稳定性和分离度的一些准则。为了得出这些结果，我们证明了Nabla Riemann-Liouville分数差分方程的常数公式的变化。

更新日期：2020-03-13

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