In the present article, a comprehensive review of relevant literature is presented to highlight the role of fractional calculus in the field of thermoelasticity. This review is devoted to the generalizations of the classical heat conduction equation and formulation of associated theories of fractional thermoelasticity. The recently developed fractional order thermoelastic models are described w...

Supersymmetric backgrounds in M-theory often involve four-form flux in addition to pure geometry. In such cases, the classification of supersymmetric vacua involves the notion of generalized holonomy taking values in SL(32,R), the Clifford group for eleven-dimensional spinors. Although previous investigations of generalized holonomy have focused on the curvature RMN (Ω) of the generalized SL(32...

Let P be a poset and let P ∗ be the set of all finite length words over P . Generalized subword order is the partial order on P ∗ obtained by letting u ≤ w if and only if there is a subword u′ of w having the same length as u such that each element of u is less than or equal to the corresponding element of u′ in the partial order on P . Classical subword order arises when P is an antichain, whi...

In this paper we give a new generalization of the Lucas numbers in matrix representation. Also we present a relation between the generalized order-k Lucas sequences and Fibonacci sequences. 2003 Elsevier Inc. All rights reserved.

in this paper, we give connection between the order of the generalized baer-invariant of a pair of finite groups and its factor groups, when ? is considered to be the specific variety. moreover, we give a necessary and sufficient condition in which the generalized baer-invariant of a pair of groups can be embedded into the generalized baer-invariant of pair of its factor groups.