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 article, the local fractional Homotopy perturbation method is utilized to solve the non-homogeneous heat conduction equations. The operator is considered in the sense of the local fractional differential operator. Comparative results between non-homogeneous and homogeneous heat conduction equations are presented. The obtained result shows the non-differentiable behavior of heat conducti...

By applying a Fourier analytic argument, we prove that, for every α ∈ (0, 2), the N -parameter harmonizable fractional α-stable field (HFαSF) is locally nondeterministic. When 0 < α < 1, this solves an open problem in [15]. Also, it allows us to establish the joint continuity of the local times of an (N, d)-HFαSF for an arbitrary α ∈ (0, 2), and to obtain new results concerning its sample paths...

Mechanical vibrations of non-local systems with long-range, cohesive, interactions between material particles have been studied in this paper by means of fractional calculus. Long-range cohesive forces between material particles have been included in equilibrium equations assuming interaction distance decay with order α . This approach yields as limiting case a partial fractional differential e...

Let BH 0 = fBH 0 (t); t 2 RN+g be a real-valued fractional Brownian sheet. Consider the (N; d) Gaussian random eld BH de ned by BH(t) = (BH 1 (t); : : : ; BH d (t)) (t 2 RN+ ); where BH 1 ; : : : ; BH d are independent copies of BH 0 . In this paper, the existence and joint continuity of the local times of BH are established. Running Title: Local Times of Fractional Brownian Sheets

Let S(t,t') be the sigma-algebra generated by the differences X(s)-X(s) with s,s' in the interval(t,t'), where (X_t) is the fractional Brownian motion process with Hurst index H between 0 and 1. We prove that for any two distinct t and t' the sigma-algebras S(t-a,t+a) and S(t'-a,t'+a) are asymptotically independent as a tends to 0. We show this in the strong sense that Shannon's mutual informat...