In this paper, we investigate and prove a new discrete q-fractional version of the coupled Gronwall inequality. By applying this result, the finite-time stability criteria of solutions for a class of nonlinear q-fractional difference coupled delay systems are obtained. As an application, an example is provided to demonstrate the effectiveness of our result.
机构:
Department of Automation, Shanghai Jiao Tong University, Shanghai,200240, China
Key Laboratory of System Control and Information Processing, Ministry of Education, Shanghai,200240, ChinaDepartment of Automation, Shanghai Jiao Tong University, Shanghai,200240, China
Du, Feifei
Lu, Jun-Guo
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Department of Automation, Shanghai Jiao Tong University, Shanghai,200240, China
Key Laboratory of System Control and Information Processing, Ministry of Education, Shanghai,200240, ChinaDepartment of Automation, Shanghai Jiao Tong University, Shanghai,200240, China
机构:
King Saud Univ, Coll Sci, Dept Stat & Operat Res, POB 2455, Riyadh 11451, Saudi ArabiaKing Saud Univ, Coll Sci, Dept Stat & Operat Res, POB 2455, Riyadh 11451, Saudi Arabia
Mchiri, Lassaad
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机构:
Ben Makhlouf, Abdellatif
Baleanu, Dumitru
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机构:
Cankaya Univ, Dept Math, Ankara, Turkey
Inst Space Sci, Magurele, RomaniaKing Saud Univ, Coll Sci, Dept Stat & Operat Res, POB 2455, Riyadh 11451, Saudi Arabia
机构:Hunan Normal Univ, Sch Math & Stat, Changsha 410081, Hunan, Peoples R China
Xiao, Shuihong
Li, Jianli
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Hunan Normal Univ, Sch Math & Stat, Changsha 410081, Hunan, Peoples R ChinaHunan Normal Univ, Sch Math & Stat, Changsha 410081, Hunan, Peoples R China