Results 21 to 30 of about 317,311 (293)
Vector-valued fractal functions: Fractal dimension and fractional calculus
Indagationes Mathematicae, 2023 There are many research available on the study of real-valued fractal interpolation function and fractal dimension of its graph. In this paper, our main focus is to study the dimensional results for vector-valued fractal interpolation function and its Riemann-Liouville fractional integral.
Manuj Verma +2 more
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Fractal Continuum Mapping Applied to Timoshenko Beams
Mathematics, 2023 In this work, a generalization of the Timoshenko beam theory is introduced, which is based on fractal continuum calculus. The mapping of the bending problem onto a non-differentiable self-similar beam into a corresponding problem for a fractal continuum ...
Didier Samayoa +4 more
doaj +1 more source
Fractal and Fractional, 2023 In this study, local fuzzy fractional partial differential equations (LFFPDEs) are considered using a hybrid local fuzzy fractional approach. Fractal model behavior can be represented using fuzzy partial differential equations (PDEs) with local ...
Mawia Osman +6 more
semanticscholar +1 more source
Closed Contour Fractal Dimension Estimation by the Fourier Transform [PDF]
, 2011 This work proposes a novel technique for the numerical calculus of the fractal dimension of fractal objects which can be represented as a closed contour.
Beck +31 more
core +1 more source
Fractal Continuum Calculus of Functions on Euler-Bernoulli Beam
Fractal and Fractional, 2022 A new approach for solving the fractal Euler-Bernoulli beam equation is proposed. The mapping of fractal problems in non-differentiable fractals into the corresponding problems for the fractal continuum applying the fractal continuum calculus (FdH3-CC ...
Didier Samayoa +3 more
doaj +1 more source
Review of Some Promising Fractional Physical Models [PDF]
, 2015 Fractional dynamics is a field of study in physics and mechanics investigating the behavior of objects and systems that are characterized by power-law non-locality, power-law long-term memory or fractal properties by using integrations and ...
Tarasov, Vasily E.
core +1 more source
Quantum Behavior Arises Because Our Universe is a Fractal [PDF]
Reports in Advances of Physical Sciences, 2017 To explain the origin of quantum behavior, we propose a fractal calculus to describe the non-local property of the fractal curve [Y. Tao, J. Appl. Math. 2013 (2013) 308691]. This study demonstrates that if the dimension of time axis is slightly less than
Yong Tao
doaj +1 more source
Fractal and Fractional, 2023 In this study, we delve into the general theory of operator kernel functions (OKFs) in operational calculus (OC). We established the rigorous mapping relation between the kernel function and the corresponding operator through the primary translation ...
Xiaobin Yu, Yajun Yin
doaj +1 more source
Fractal and Fractional, 2021 Navier–Stokes equations describe the laminar flow of incompressible fluids. In most cases, one prefers to solve either these equations numerically, or the physical conditions of solving the problem are considered more straightforward than the real ...
A. Pishkoo, M. Darus
semanticscholar +1 more source
Fuzzification of Fractal Calculus
, 2023 In this manuscript, fractal and fuzzy calculus are summarized. Fuzzy calculus in terms of fractal limit, continuity, its derivative, and integral are formulated. The fractal fuzzy calculus is a new framework that includes fractal fuzzy derivatives and fractal fuzzy integral.
Golmankhaneh, Alireza Khalili +3 more
openaire +2 more sources