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Cited by 40 publications
(10 citation statements)
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“…Following [19,Theorem 5.4], the solution Φ(·, y 0 ) to (12) exists on the whole interval [0, ∞) and satisfies lim t→∞ Φ(t, y 0 ) = 0. On the other hand, by the comparison lemma [6, Lemma 10], we obtain that…”
Section: Theorem 5 Consider the Equation (1) Assume There Is A Funcmentioning
confidence: 99%
See 1 more Smart Citation
“…Following [19,Theorem 5.4], the solution Φ(·, y 0 ) to (12) exists on the whole interval [0, ∞) and satisfies lim t→∞ Φ(t, y 0 ) = 0. On the other hand, by the comparison lemma [6, Lemma 10], we obtain that…”
Section: Theorem 5 Consider the Equation (1) Assume There Is A Funcmentioning
confidence: 99%
“…[7, inequalities (6) and (16)], [8, inequality (24)], and [9, inequality (10)]. In this direction, we recommend the papers [10, Theorems 2 and 3], [9, Theorems 2 and 3], [11, Theorems 3.1 and 3.3], and [12, Example 1]. However, there are some unavoidable shortcomings of this approach such as • Assumption of the global existence of solutions to fractional‐order nonlinear systems, see e.g.…”
Section: Introductionmentioning
confidence: 99%
“…The (q, h)-fractional difference equations have received a lot of attention recently; the basic theory and its applications can be found in [4,5,7,8,12,16,17]. In this paper, we use the idea in [10] to analyse the stability and asymptotical stability of the nabla (q, h)-fractional difference equations. Firstly, we prove the stability theorems of discrete fractional Lyapunov direct method for the special nabla (q, h)-fractional difference equations.…”
Section: Introductionmentioning
confidence: 99%
“…For nonlinear systems, the solutions of nonlinear differential equations are often difficult to express. LDM [33][34][35][36][37][38][39] offers an excellent method to analyze the property of the solution without solving this differential equation. Since LDM can be used in any order system, it shows that this method has great superiority.…”
Section: Introductionmentioning
confidence: 99%