Results 11 to 20 of about 120,593 (286)
Fractal and Fractional, 2023 This paper pursues obtaining Jacobi spectral collocation methods to solve Caputo fractional differential equations numerically. We used the shifted Jacobi–Gauss–Lobatto or Jacobi–Gauss–Radau quadrature nodes as the collocation points and derived the ...
Zhongshu Wu +3 more
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Application of Fractional Differential Model in Image Enhancement of Strong Reflection Surface
Mathematics, 2023 Combined with advanced fractional differential mask operation, this paper used a fractional differential to normalize the 5 × 5 mask and conducted experiments to select fractional v = 0.7 to determine the equation. The position of the center of the light
Tang Ruiyin, Liu Bo
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Remote Sensing, 2021 The ratio between nitrogen and phosphorus (N/P) in plant leaves has been widely used to assess the availability of nutrients. However, it is challenging to rapidly and accurately estimate the leaf N/P ratio, especially for mixed forest. In this study, we
Wen He +6 more
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TO THE THEORY OF THERMAL CONDUCTION AND CONDUCTIVITY OF METAL FRACTALS [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2019 In the paper, it is suggsted an analytical approach of the physical description of fractal metal structures. The calculatuions are based on using quasiclassical Boltzmann kinetic equation and formally introduced operations of fractional differentiation ...
S. O. Gladkov, S. B. Bogdanova
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Mathematics, 2020 The article presents a solution to a boundary value problem for a wave equation containing a fractional derivative with respect to a spatial variable. This model is used to describe oscillation processes in a viscoelastic medium, in particular changes in
Ludmila Kirianova
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Some Alternative Solutions to Fractional Models for Modelling Power Law Type Long Memory Behaviours
Mathematics, 2020 The paper first describes a process that exhibits a power law-type long memory behaviour: the dynamical behaviour of the heap top of falling granular matter such as sand.
Jocelyn Sabatier +2 more
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Fuzzy Conformable Fractional Differential Equations [PDF]
International Journal of Differential Equations, 2021 In this study, fuzzy conformable fractional differential equations are investigated. We study conformable fractional differentiability, and we define fractional integrability properties of such functions and give an existence and uniqueness theorem for a solution to a fuzzy fractional differential equation by using the concept of conformable ...
Atimad Harir +2 more
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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.
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Vestnik of Samara University. Natural Science Series, 2018 Due to the operation of fractional differentiation introduced with the help of Fourier integral, the results of calculating fractional derivatives for certain types of functions are given. Using the numerical method of integration, the values of fractional derivatives for arbitrary dimensionality , (where is any number greater than zero) are calculated.
Gladkov, S. O., Bogdanova, S. B.
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Dualities and Asymptotic Mixtures Using Functional-Order Differentiation
AppliedMath, 2022 New definitions for fractional integro-differential operators are presented and referred to as delayed fractional operators. It is shown that delayed fractional derivatives give rise to the notion of functional order differentiation.
Aris Alexopoulos
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