id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-6890	Al-Momani, Monther; Abughazaleh, Baha'; Farah, Abdulkarim	The Double Sawi-Shehu Transform	2025	15	.pdf	application/pdf	3978	263	87	By integrating by parts, we get WεHζ ( ∂2u(ε,ζ) ∂ε2 ) = 1 σ2 ∞∫ 0 e− ϕζ δ ( −uε(0, ζ)− 1 σu(0, ζ) + 1 σ2 ∞∫ 0 e− ε σ u(ε, ζ)dε ) dζ = − 1 σ2 ∞∫ 0 e− ϕζ δ uε(0, ζ)dζ − 1 σ3 ∞∫ 0 e− ϕζ δ u(0, ζ)dζ + 1 σ2 × 1 σ2 ∞∫ 0 ∞∫ 0 e− ε σ −ϕζ δ u(ε, ζ)dεdζ = U(σ,ϕ,δ) × 1 σ2 ∞∫ 0 e− ε σ u(ε, 0)dε+ ϕ2 δ2 × 1 σ2 ∞∫ 0 ∞∫ 0 e− ε σ −ϕζ δ u(ε, ζ)dζdε So, WεHζ ( ∂2u(ε,ζ) ∂ζ2 )	cache/ejpam-6890.pdf	txt/ejpam-6890.txt