Although the existence of cosmic rays with energies extending well above 10 eV has been confirmed, their origin remains one of the most important questions in particle astrophysics today. Several different types of anisotropy have been proposed for the observed set of ultra high energy cosmic rays. Yet none of these models have been conclusively identified as corresponding with all of the avail...

spatial analysis of aeolian landforms by fractal theory (case study: ardestan rig) abstract natural sciences face to a great revolution, nowadays. now, scientists think the world as a collection of complex systems which prediction of consequences of this complex systems is so difficult. in this situation the systems have rotational act so irregularly lead to regular and regularly lead to irregu...

The theory of reproducing kernel Hilbert spaces (RKHSs) has been developed into a powerful tool in mathematics and lots applications many fields, especially machine learning. Fractal provides new technologies for making complicated curves fitting experimental data. Recently, combinations fractal interpolation functions (FIFs) methods curve estimations have attracted the attention researchers. W...

ABSTRACT. We consider the iterated function systems (IFSs) that consist of three general similitudes in the plane with centres at three non-collinear points, and with a common contraction factor λ ∈ (0, 1). As is well known, for λ = 1/2 the invariant set, Sλ, is a fractal called the Sierpiński sieve, and for λ < 1/2 it is also a fractal. Our goal is to study Sλ for this IFS for 1/2 < λ < 2/3, i...

In this paper, we consider an inverse problem of linear heat equation with nonlinear boundary condition. We identify the temperature and the unknown radiation tern from an overspecified condition on the boundary