... derivative is understood in the Caputo sense.2 Advances in Difference Equations In this paper, motivated by 1–27especially the estimating approaches given in 4, 6,10, 24 , 27, we investigate the ... Differential Equations, vol. 1701 ofLecture Notes in Mathematics, Springer, Berlin, Germany, 1998.6 Advances in Difference EquationsAccording to the H¨older inequality, H1,and3.8,fort ∈ 0,T, we ... 5–7, pp. e225–e232, 2005.Hindawi Publishing CorporationAdvances in Difference EquationsVolume 2010, Article ID 158789, 10 pagesdoi:10.1155/2010/158789 Research Article Existence and Uniqueness...