Fractional differential equations have attracted considerable interest because of their ability to model anomalous transport phenomena. Fractional nonlinear reaction-diffusion models have found numerous applications in patten formation in biology, chemistry, physics and Engineering. Obtaining analytical solutions of fractional nonlinear reaction-diffusion models is difficult, generally numerica...

Given a connected open set U 6= ∅ in Rd, d ≥ 2, a relatively closed set A in U is called unavoidable in U , if Brownian motion, starting in x ∈ U \A and killed when leaving U , hits A almost surely or, equivalently, if the harmonic measure for x with respect to U \ A has mass 1 on A. First a new criterion for unavoidable sets is proven which facilitates the construction of smaller and smaller u...

in this paper, we introduce the concepts of right, left and product stabilizers on hoops and study some properties and the relation between them.  and we try to find that how they can be equal and investigate that under what condition they can be filter, implicative filter, fantastic and positive implicative filter. also, we prove that  right and product stabilizers are filters and if they are ...

In this paper, we obtain equivalent conditions relating oblique projections to biorthogonal Riesz bases and angles between closed linear subspaces of a Hilbert space. We also prove an extension theorem in the biorthogonal setting, which leads to biorthogonal multiwavelets.