In this paper, using probabilistic metric spaces techniques, we can weak the first moment condition for existence and uniqueness of selfsimilar fractal functions.

In this paper we propose the optimization of patch size for a fractal hybrid antenna that can be used in GPS applications. This project is about two different models namely sierpinski gasket fractal antenna and Koch rectangular fractal antenna. A fractal antenna in general is characterized by space filling and self-similarity properties. These fractal shaped antennas have their own unique chara...

Using the fractal aggregate model for circumsolar dust grains, the nature of the circumsolar dust clouds is examined. As a fractal dimension of the aggregate decreases, the porosity of the aggregate increases. Consequently, its temperature becomes independent of its size, and approaches that of its constituent particles. This evidence suggests that the fractal aggregates with different sizes an...

We find that giant surface-enhanced Raman scattering for adsorbates on silver surfaces is present only on surfaces that exhibit self-similar fractal topology as inferred from atomic force microscopy. The fractal character results in localizing the energy of incident photons to volumes of a few nanometers on a side, millions of times smaller than the diffraction limit. Consistent with this findi...

BACKGROUND The use of acoustic signals to mask, mix with, or ease the distress associated with tinnitus has been clinically employed for decades. It has been proposed that expanding acoustic options for tinnitus sufferers due to personal preferences is desirable. Fractal tones incorporate many useful characteristics of music while avoiding certain features that could be distracting to some indi...

The fractal tree-like branched network is an effective channel design structure to reduce the hydraulic resistance as compared with the conventional parallel channel network. In order for a laminar flow to achieve minimum hydraulic resistance, it is believed that the optimal fractal tree-like channel network obeys the well-accepted Murray's law of βm = N-1/3 (βm is the optimal diameter ratio be...

In this paper, a new compact multiband patch microstrip antenna design is presented as a candidate for use in modern multi-functions communication systems. The proposed antenna design is fractally generated using Koch fractal curve geometry applied to the conventional square microstrip patch antenna. Antenna structures resulting from the successive iterations in the proposed fractal generation ...

in this work, sio2 –zro2 mixed oxides was prepared by the polymeric sol–gel route. the characterization of pore structure, which determines the permeation process of membrane, is of great importance. so far, most investigations have focused on such pore structure as specific surface area and pore size distribution, but the surface fractal, the important parameter reflecting the roughness of por...

This paper considers fractal trees with self-similar side branching. The Tokunaga classification system for side branching is introduced, along with the Tokunaga self-similarity condition. Area filling (D = 2) and volume filling (D = 3) deterministic fractal tree constructions are introduced both with and without side branching. Applications to diffusion limited aggregation (DLA), actual draina...

The present work examines the possibility of warm inflationary paradigm in modified gravity theory with fractal geometry. By choosing normal fluid as radiation and effective (with extra term field equation) inflaton both strong weak dissipative regimes have been studied using slow roll approximation quasi-stable criteria for radiation. Finally, Planck data set, model has analyzed various choice...