and Applied Analysis 3 2. Preliminaries In this section, we present definitions and properties of generalized fractional operators. As particular cases, by choosing appropriate kernels, these operators are reduced to standard fractional integrals and fractional derivatives. Other nonstandard kernels can also be considered as particular cases. For more on the subject of generalized fractional ca...

An introduction to supersymmetric (SUSY) solutions defined on the product of Ricci-flat spaces in D = 11 supergravity is presented. The paper contains some background information: (i) decomposition relations for SUSY equations and (ii) 2 −k-splitting theorem that explains the appearance of N = 2 −k fractional supersym-metries. Examples of M 2 and M 5 branes on the product of two Ricci-flat spac...

Using the splitting of a Q-deformed boson, in the Q → q = e 2πi k limit, the fractional decomposition of the quantum affine algebra Â(n) and the quantum affine superalgebra Â(n,m) are found. This decomposition is based on the oscillator representation and can be related to the fractional supersymmetry and k-fermionic spin. We establish also the equivalence between the quantum affine algebra Â(n...

This paper proposes color local binary pattern and fractional Fourier Transform features for face recognition. The YCbCr Color space model is used in this approach. Fractional Fourier Transform features and local binary pattern features are used for face recognition. kNN classifier is applied to face recognition phase.

In this paper we introduce the notion of the fractional weak discrepancy of a poset, building on previous work on weak discrepancy in [5, 8, 9]. The fractional weak discrepancy wdF (P ) of a poset P = (V,≺) is the minimum nonnegative k for which there exists a function f : V → R satisfying (1) if a ≺ b then f(a) + 1 ≤ f(b) and (2) if a ‖ b then |f(a)− f(b)| ≤ k. We formulate the fractional weak...