objective: at present, growth factor-containing products such as enamel matrix derivatives, recombinant bone morphogenetic protein (rh-bmp), recombinant platelet derived growth factor and platelet rich plasma (prp) have gained increasing attention. prp is an autologous source of platelet growth factors used to enhance healing of soft and hard tissues. prp has gained popularity due to its autolo...

This work describes two efficient and useful methods for solving fractional pantograph delay equations (FPDEs) with initial boundary conditions. These depend mainly on orthogonal polynomials, which are the method of operational matrix derivative that depends Bernstein polynomials Shifted Legendre polynomials. The basic procedure this is to convert equation a system linear by using, matrices we ...

The evaluation on nuclear power plant operational safety performance had great significance on whether the nuclear power plant operated safely or not. Currently the academic literatures on nuclear power plant operational safety performance are rare. Improved Fuzzy evaluation model which introduce confidence level had been used into the evaluation of nuclear power plant operational safety perfor...

This paper introduces a numerical method for solving the vasicek model by using a stochastic operational matrix based on the triangular functions (TFs) in combination with the collocation method. The method is stated by using conversion the vasicek model to a stochastic nonlinear system of $2m+2$ equations and $2m+2$ unknowns. Finally, the error analysis and some numerical examples are provided...

the purpose of this study was preparation and evaluation of sustained release matrix type ocular mini-tablets of timolol maleate, as a potential formulation for the treatment of glaucoma. following the initial studies on timolol maleate powder, it was formulated into ocular mini-tablets. the polymers investigated in this study included cellulose derivatives (hec, cmc, ec) and carbopol971p. mann...

matrix analysis of corrosion inhibition phenomena (macip), in which an inhibitor isconsidered as a point in a multi-dimensional virtual efficiency space, was performed on somepyridine derivatives. the needed molecular parameters such as homo and lumo energylevels, charge densities on hetero atom, dipole moment, heat of formation, and total energyvalues were obtained by means of semi-empirical q...

In this paper we apply hybrid functions of general block-pulse‎ ‎functions and Legendre polynomials for solving linear and‎ ‎nonlinear multi-order fractional differential equations (FDEs)‎. ‎Our approach is based on incorporating operational matrices of‎ ‎FDEs with hybrid functions that reduces the FDEs problems to‎ ‎the solution of algebraic systems‎. ‎Error estimate that verifies a‎ ‎converge...