Recently, some efforts focus on differentiating dark energy and modified gravity with the growth function δ(z). In the literature, it is useful to parameterize the growth rate f ≡ d ln δ/d ln a = Ωm with the growth index γ. In this note, we consider the general DGP model with any Ωk. We confront the growth index of DGP model with currently available growth rate data and find that the DGP model ...

This article is based on formulation of a new three parameters continuous distribution. Some important properties are discussed here. Different methods estimation used for parameter estimation. Validity the model tested using different information criteria as well some graphical plots. For applicability testing, real data set taken. comparison we have considered previously introduced probabilit...

This work presents an automatic tuning method for the discontinuous component of the Sliding Mode Generalized Predictive Controller (SMGPC) subject to constraints. The strategy employs Particle Swarm Optimization (PSO) to minimize a second aggregated cost function. The continuous component is obtained by the standard procedure, by Quadratic Programming (QP), thus yielding an online dual optimiz...

the object of this paper is to establish certain generalized fractional integration and differentiation involving generalized mittag-leffler function defined by salim and faraj [25]. the considered generalized fractional calculus operators contain the appell's function $f_3$ [2, p.224] as kernel and are introduced by saigo and maeda [23]. the marichev-saigo-maeda fractional calculus operat...