id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
cana-5460	Djebaili Manel	Method of a Priori Estimate in the Case of Fractional Order Differential Equations with Integral Conditions	2025	25	.pdf	application/pdf	6927	357	78	Dt δ−1 ‖ℑx ∂u ∂t ‖ 2 𝕃2(0,1) +∫ ‖ ∂u ∂t ‖ 2 𝕃2(0,1) dt τ 0 +∫ u2dx 1 0 ≤ ɳ 1 ( ∫ φ2(x) 1 0 dx + ∫ ∫ u2 τ O 1 0 dtdx + ∫ ∫ (ℑxf) 2 1 0 τ 0 dxdt + ‖ℑxψ‖ 2 𝕃2(0,1) +∫ ∫ (ℑx ∂u ∂t ) 21 0 τ 0 dxdt ) , (39) where: ɳ1 = max( α+γ 2 ,a1T 2+ α 2 , 1 2ε , ε 2 , T1−δ Γ(1−δ) ) min( 1 2 ,β , α+γ 2 ) . = ∫ ∫	cache/cana-5460.pdf	txt/cana-5460.txt