id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-615	Zhang, Jichao; Bu, Shangquan	Maximal regularity for fractional difference equations of order 2	2024	17	.pdf	application/pdf	6758	416	85	− 1)α[z1−α(z − 1)α − T ]−1 : |z| = 1, z ̸= 1 } is R-bounded [18]. In the case 1 < α ≤ 2, 1 < p < ∞ and X is a UMD space, Lizama and Arcila showed that (1.1) with the initial conditions u(0) = u(1) = 0, has the ℓp-maximal regularity if and only if {z2−α(z − 1)α : |z| = 1, z ̸= 1} ⊂ ρ(T ), and the set { z2−α(z − 1)α[z2−α(z − 1)α − T ]−1 : |z| = 1, z ̸= 1 } is R-bounded [19].	cache/ejde-615.pdf	txt/ejde-615.txt