id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
cana-3825	D. Naga Purnima	Fractional Difference Equations with Initial Time Difference	2025	6	.pdf	application/pdf	2255	165	77	−M(x − y), (2.10) for ξ ≤ y ≤ x Let Θ: Nn0 + → R be such that ξ̃0(n) ≤ Θ ≤ ξ̃0(n), and the following linear fractional difference equation for 0 < µ < 1, ∇μρ (n + 1) = f (n, Θ(n))	cache/cana-3825.pdf	txt/cana-3825.txt