Results 51 to 60 of about 1,524 (134)
Fractional heat conduction in a rectangular plate with bending moments
, 2020 In this research work, we consider a thin, simply supported rectangular plate defined as 0 x a , 0 y b , 0 z c and determine the thermal stresses by using a thermal bending moment with the help of a time dependent fractional derivative.
S. Warbhe
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Regularity and Bernstein-type results for nonlocal minimal surfaces [PDF]
, 2013 We prove that, in every dimension, Lipschitz nonlocal minimal surfaces are smooth. Also, we extend to the nonlocal setting a famous theorem of De Giorgi stating that the validity of Bernstein's theorem in dimension $n+1$ is a consequence of the ...
Figalli, Alessio, Valdinoci, Enrico
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Advances in Nonlinear Analysis, 2023 In this article, we develop a new set of results based on a non-local gradient jointly inspired by the Riesz ss-fractional gradient and peridynamics, in the sense that its integration domain depends on a ball of radius δ>0\delta \gt 0 (horizon of ...
Bellido José Carlos +2 more
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A Poster about the Recent History of Fractional Calculus [PDF]
, 2010 MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22In the last decades fractional calculus became an area of intense re-search and development.
Kiryakova, Virginia +2 more
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Demonstratio Mathematica, 2021 In this paper, we show how to approximate the solution to the generalized time-fractional Huxley-Burgers’ equation by a numerical method based on the cubic B-spline collocation method and the mean value theorem for integrals.
Hadhoud Adel R. +3 more
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Integral Transforms Method to Solve a Time-Space Fractional Diffusion Equation [PDF]
, 2010 Mathematical Subject Classification 2010: 35R11, 42A38, 26A33, 33E12.The method of integral transforms based on using a fractional generalization of the Fourier transform and the classical Laplace transform is applied for solving Cauchy-type problem for ...
Boyadjiev, Lyubomir, Nikolova, Yanka
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On a fractional thin film equation
Advances in Nonlinear Analysis, 2020 This paper deals with a nonlinear degenerate parabolic equation of order α between 2 and 4 which is a kind of fractional version of the Thin Film Equation.
Segatti Antonio, Vázquez Juan Luis
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Notes on continuity result for conformable diffusion equation on the sphere: The linear case
Demonstratio Mathematica, 2022 In this article, we are interested in the linear conformable diffusion equation on the sphere. Our main goal is to establish some results on the continuity problem with respect to fractional order.
Nguyen Van Tien
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Fractional differential operators in vector-valued spaces and applications
, 2020 Fractional differential operator equations with parameter are studied. Uniform Lp separability properties and sharp resolvent estimates are obtained for elliptic equations in terms of fractional derivatives. Moreover, maximal regularity properties of the
V. Shakhmurov
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A Poster about the Old History of Fractional Calculus [PDF]
, 2010 MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22The fractional calculus (FC) is an area of intensive research and development. In a previous paper and poster we tried to exhibit its recent state, surveying the period of 1966-2010.
Kiryakova, Virginia +2 more
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