In this paper, a new method for estimating the linear regression coefficients approximation is presented based on Z-numbers. In this model, observations are real numbers, regression coefficients and dependent variables (y) have values ​​for Z-numbers. To estimate the coefficients of this model, we first convert the linear regression model based on Z-numbers into two fuzzy linear regression mode...

the linear adiabatic pulsation-periods of mira variable stars have been derived. approximately 2701[1]models were calculated for m = 0.7 mθ to 2 mθ stars with radii from 180 rθ to 340 rθ and luminosities from 2800 lθ to 10,000 lθ. the chemical composition of all models is (x,z) = (0.7,0.02). from the result of this study, linear relations on luminosity-period-mass relationship and luminosity-pe...

The paper deals with the analysis of linear and non-linear systems under a special class of symmetric α -stable stochastic processes, namely sub-Gaussian excitations. Such processes are defined multiplying the square root of an / 2 α -stable random variable totally skewed to the right by a zero mean normal process with assigned autocorrelation function. Relying on the observation that the sub-G...

Linear differential equations with variable coefficients and Prabhakar-type operators featuring Mittag-Leffler kernels are solved. In each case, the unique solution is constructed explicitly as a convergent infinite series involving compositions of Prabhakar fractional integrals. We also extend these results to respect functions. As an important illustrative example, we consider case constant c...

a new poly(vinylchloride) membrane sensor for cr3+ ions based on di (benzylamino)glyoxime asan ionophore was prepared. the electrode has a linear dynamic range 1×10-6-1×10-1 mol l-1,with anernstian slope of 20.3 ± 0.5 mv per decade and a detection limit of 2×10-7. it has a fast responsetime of