Search Results - "fractal"
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The felicity of fractals
Published 2017“…Patterns repeated at different scales like the branches in lungs and neurons, are fractals where simple mathematical rules apply to a vast array of things that look visually complex or chaotic.…”
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Investigating fractal-fractional mathematical model of tuberculosis TB under fractal-fractional caputo operator
Published 2022“…This paper discussed a new operator known as a fractal-fractional (FF), considered in the Caputo sense. …”
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The fractal micro mechanics of normal compression
Published 2016Subjects: “…DEM; normal compression; crushing; fractal…”
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Revisit on the fractal dimension in damage and fracture
Published 2013Subjects: “…Fractal dimension…”
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Some notes on the study of fractals in fracture
Published 2007“…The main topics include fractality of fracture surfaces, relationships between fractal dimension and toughness, scaling and universality in fracture, fractal fracture mechanisms, and their implications for fabrication of novel materials. …”
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IFS on the multi-fuzzy fractal space.
Published 2009“…The IFS is a scheme for describing and manipulating complex fractal attractors using simple mathematical models. …”
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Fractal attractor based digital signature
Published 2010“…Fractal theories are applied to enhance the efficiency and performance of cryptosystem due to their inherent complexity and mathematical framework. …”
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Miniaturization of resonator based on Moore fractal
Published 2017“…This paper presents the simulation and fabrication of miniaturized half wavelength resonator design using Moore fractal iteration technique. These resonators have been prepared for wireless application at a centre frequency of 2.45GHz using a substrate with dielectric constant of 2.2. …”
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Fractal antenna for rectenna system applications
Published 2020“…As a result, a microstrip antenna structure based on a printed fractal patch geometry on an FR-4 epoxy substrate is proposed for radio frequency (RF) rectenna systems. …”
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Fractal Characteristics Of Soils At USM Campus
Published 2006“…Fractals are a concern new geometry to describe the variety of natural soil structures. …”
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A fractal modeling for network traffic
Published 2000“…This paper describes fractal modeling with application to broadcast traffic of a switch-based LAN. …”
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Fractal patch antenna for GPS application
Published 2003“…Fractal patch antenna is proposed to reduce the size with miniaturization technique, not only for the single element structure, but also in an array design. …”
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An efficient operation matrix method for solving fractal–fractional differential equations with generalized Caputo-type fractional–fractal derivative
Published 2021“…In this study, we present the new generalized derivative and integral operators which are based on the newly constructed new generalized Caputo fractal–fractional derivatives (NGCFFDs). Based on these operators, a numerical method is developed to solve the fractal–fractional differential equations (FFDEs). …”
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Solving fractal-fractional differential equations using operational matrix of derivatives via Hilfer fractal-fractional derivative sense
Published 2022“…This study will introduce a new differentiation operator, the Hilfer fractional-fractal derivative (H-FFD). The new proposed derivative aims to attract more non-local problems that show with the same time fractal behaviors. …”
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Estimation of fractal dimension through morphological decomposition
Published 2004“…Set theory based morphological transformations have been employed to decompose a binary fractal by means of discrete structuring elements such as square, rhombus and octagon. …”
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Robust methodology for fractal analysis of the retinal vasculature
Published 2011“…Fourier Fractal dimension is computed on these preprocessed images and does not require any segmentation of the vessels. …”
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Existence of fractal behaviour in ozone time series
Published 2016“…Fractal has received a wide attention and has been used in many areas such as meteorology, stock market and also in medical field. …”
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High-order fractal states in graphene superlattices
Published 2018“…The recurrence of these states creates a fractal pattern intimately related to the origin of Hofstadter butterflies. …”
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