This study develops and analyzes preconditioned Krylov subspace methods to solve linear systems arising from discretization of the time-independent space-fractional models. First, we apply shifted Grunwald formulas to obtain a stable finite difference approximation to fractional advection-diffusion equations. Then, we employee two preconditioned iterative methods, namely, the preconditioned gen...

We complete the study of Manin triples of real simple Lie algebras. In the Part 2 of the article we classify the Manin triples (g(R), W, g(R) ⊕ g(R)) (case 2 of the doubles) up to weak and gauge equivalence. First we recall the main definitions of the Part 1. Definition 1. Let g 1 , g 2 , d be Lie algebras over a field K and let Q be a symmetric nondegenerate bilinear form on d. A triple (g 1 ,...

a green and efficient one-pot, four-component synthesis of 6-amino-4-aryl-3-methyl-2,4-dihydropyrano[2,3- c ]pyrazo-carbonitrile derivatives catalyzed by borax in water is described. this method provides several advantages such as environmental friendliness, shorter reaction time, excellent yields, and simple workup procedure. the in vitro cytotoxic activity of the synthesized test compounds wa...

a mixture of acetaminophen, diphenhydramine hydrochloride and pseudoephedrine hydrochloride is used for the symptomatic treatment of common cold. in this study, a derivative spectrophotometric method based on zero-crossing technique was proposed for simultaneous determination of acetaminophen, diphenhydramine hydrochloride and pseudoephedrine hydrochloride. determination of these drugs was perf...

We develop a non-anticipative calculus for functionals of a continuous semimartingale, using an extension of the Ito formula to path-dependent functionals which possess certain directional derivatives. The construction is based on a pathwise derivative, introduced by B Dupire, for functionals on the space of right-continuous functions with left limits. We show that this functional derivative ad...

In this work, a novel mathematical model of Coronavirus (2019-nCov) with general population mask use modified parameters. The proposed consists fourteen fractional-order nonlinear differential equations. Grünwald-Letnikov approximation is used to approximate the new hybrid fractional operator. Compact finite difference method six order operator developed study model. Stability analysis methods ...

buprenorphine is a partial mu agonist and kappa antagonist which is used for the treatment of pain and opioid addiction. a mixture of buprenorphine hydrochloride and naloxone hydrochloride has been approved for the treatment of opioid dependence.in this study a third order derivative spectrophotometric method based on zero-crossing technique has been used for the simultaneous determination of b...