Results 11 to 20 of about 89 (78)
Fractal and FractionalTraditional operational calculus, while intuitive and effective in addressing problems in physical fractal spaces, often lacks the rigorous mathematical foundation needed for fractional operations, sometimes resulting in inconsistent outcomes. To address
Zelin Liu, Xiaobin Yu, Yajun Yin
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Is Comprehension in Comics More Effective Than in Traditional Texts in Skilled Adult Readers? An Eye Movement-Based Study. [PDF]
Cogn SciAbstract Reading comprehension has been mostly studied using traditional texts and very little is known about reading comprehension in comics. We wanted to find out whether comics could enhance comprehension processes, compared to traditional text and what cognitive processes might be involved in this effect.
Rasamimanana M +4 more
europepmc +2 more sources
Simplified Mixing Rules for Calculating Transport Coefficients of High‐Temperature Air
International Journal of Aerospace Engineering, Volume 2023, Issue 1, 2023., 2023 The transport process of high‐temperature air is vital in aerospace fields and has attracted increased attention in recent years. In this paper, an adequate study of factors affecting transport coefficients for high‐temperature air is conducted. The results of a different‐species model at different pressures and temperatures show that the 9‐species air
Zhe Wang +3 more
wiley +1 more source
Variable-order fractional calculus: A change of perspective [PDF]
, 2021 Several approaches to the formulation of a fractional theory of calculus of “variable order” have appeared in the literature over the years. Unfortunately, most of these proposals lack a rigorous mathematical framework. We consider an alternative view on
Garrappa R., Giusti A., Mainardi F.
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General Fractional Integrals and Derivatives of Arbitrary Order
, 2021 In this paper, we introduce the general fractional integrals and derivatives of arbitrary order and study some of their basic properties and particular cases.
Yuri Luchko
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Variable-Order Fractional Calculus: from Old to New Approaches
, 2023 Different approaches to introduce fractional derivatives and integrals of variable order have been proposed. The majority of these operators are obtained by replacing the constant order with some function in the time-domain formulation of the usual ...
Garrappa R., Giusti A., Mainardi F.
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Weighted Sonine conditions and application
Advances in Applied Mathematics and MechanicsThe Sonine kernel described by the classical Sonine condition of convolution form is an important class of kernels used in integral equations and nonlocal differential equations. This work extends this idea to introduce weighted Sonine conditions where the non-convolutional weight functions accommodate the inhomogeneity in practical applications.
Zheng, Xiangcheng +2 more
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Journal of Applied Mathematics, Volume 2016, Issue 1, 2016., 2016 We prove existence and uniqueness of the solution of the problem with initial and Maxwell‐Auzhan boundary conditions for nonstationary nonlinear one‐dimensional Boltzmann’s six‐moment system equations in space of functions continuous in time and summable in square by a spatial variable. In order to obtain a priori estimation of the initial and boundary
A. Sakabekov +2 more
wiley +1 more source
A characterization of the four Chebyshev orthogonal families
International Journal of Mathematics and Mathematical Sciences, Volume 2005, Issue 13, Page 2071-2079, 2005., 2005 We obtain a property which characterizes the Chebyshev orthogonal polynomials of first, second, third, and fourth kind. Indeed, we prove that the four Chebyshev sequences are the unique classical orthogonal polynomial families such that their linear combinations, with fixed length and constant coefficients, can be orthogonal polynomial sequences.
E. Berriochoa +2 more
wiley +1 more source
Homogeneous hydrodynamics of a collisional model of confined granular gases [PDF]
, 2014 The hydrodynamic equation governing the homogeneous time evolution of the temperature in a model of confined granular gas is studied by means of the Enskog equation. The existence of a normal solution of the kinetic equation is assumed as a condition for
Brey Abalo, José Javier +3 more
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