Noncommutative geometric gauge theory is reconstructed based on the superconnection concept. The bosonic action of the Connes-Lott model including the symmetry breaking Higgs sector is obtained by using a new generalized derivative, which consists of the usual 1-form exterior derivative plus an extra element called the matrix derivative, for the curvatures. We first derive the matrix derivative...

Recently, an extended operator of fractional derivative related to a generalized Beta function was used in order to obtain some generating relations involving the extended hypergeometric functions [1]. The main object of this paper is to present a further generalization of the extended fractional derivative operator and apply the generalized extended fractional derivative operator to derive lin...

In this paper, we are devoted to exploring conditions of well-posedness for generalized hemivariational inequalities with Clarke’s generalized directional derivative in reflexive Banach spaces. By using some equivalent formulations of the generalized hemivariational inequality with Clarke’s generalized directional derivative under different monotonicity assumptions, we establish two kinds of co...

The generalized vector is defined on an n dimensional manifold. Interior product, Lie derivative acting on generalized p-forms, −1 ≤ p ≤ n are introduced. Generalized commutator of two generalized vectors are defined. Adding a correction term to Cartan’s formula the generalized Lie derivative’s action on a generalized vector field is defined. We explore various identities of the generalized Lie...

In this work, the tracking control of a class uncertain linear dynamical systems is investigated. The uncertainty considered to be represented as fuzzy numbers, and hence, these are referred systems, which presented in form differential equations (FDEs). solution an FDE found using approach called relative-distance-measure interval arithmetic under granular differentiability concept. objective ...

In this paper the exact and the approximate solutions of fuzzy fractional differential equation, in the sense of Caputo Hukuhara differentiability, with a fuzzy condition are constructed by using the fuzzy Laplace transform. The obtained solutions are expressed in the form of the fuzzy Mittag-Leffler function. The presented procedure is visualized and the graphs of the obtained approximate solu...