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The fractional diffraction optics theory has been elaborated using the Green function technique. The optics-fractional equation describing the diffraction X-ray scattering by imperfect crystals has been derived as the fractional matrix integral Fredholm--
Chukhovskii, Felix N. +1 more
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Overview of fractional calculus and its computer implementation in Wolfram Mathematica
In this article we would like to consider some approaches to non-integer integro-differentiations and its implementation in computer algebra system Wolfram ...
Marichev, O. I., Shishkina, E. L.
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Symmetries of Fractional Guéant–Pu Model with Gerasimov–Caputo Time-Derivative
Journal of Mathematical Sciences, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yadrikhinskiy, Kh. V., Fedorov, V. E.
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Russian Mathematics, 2018
The paper deals with the pseudoparabolic equation with fractional Gerasimov-Caputo derivative of order \(\alpha\) \[ \partial^\alpha_{0t}u=\dfrac{1}{x^m} \dfrac{\partial}{\partial x}\left(x^m k(x,t)\dfrac{\partial u}{\partial x}\right)+\dfrac{1}{x^m} \partial^\alpha_{0t}\dfrac{\partial}{\partial x}\left(x^m\eta(x)\dfrac{\partial u}{\partial x}\right ...
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The paper deals with the pseudoparabolic equation with fractional Gerasimov-Caputo derivative of order \(\alpha\) \[ \partial^\alpha_{0t}u=\dfrac{1}{x^m} \dfrac{\partial}{\partial x}\left(x^m k(x,t)\dfrac{\partial u}{\partial x}\right)+\dfrac{1}{x^m} \partial^\alpha_{0t}\dfrac{\partial}{\partial x}\left(x^m\eta(x)\dfrac{\partial u}{\partial x}\right ...
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Mathematical Notes
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jamalov, B. I., Irgashev, B. Yu.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jamalov, B. I., Irgashev, B. Yu.
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ADYGHE INTERNATIONAL SCIENTIFIC JOURNAL
The first boundary value problem in the rectangular region for the loaded fractional telegraph equation with Gerasimov–Caputo derivatives is investigated. By the method of reduction to the Volterra integral equation of the 2nd kind the solution of the problem is found. The existence and uniqueness theorem of the solution is proved.
F. M. Losanova, R. O. Kenetova
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The first boundary value problem in the rectangular region for the loaded fractional telegraph equation with Gerasimov–Caputo derivatives is investigated. By the method of reduction to the Volterra integral equation of the 2nd kind the solution of the problem is found. The existence and uniqueness theorem of the solution is proved.
F. M. Losanova, R. O. Kenetova
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Fractional Chern insulators in magic-angle twisted bilayer graphene
Nature, 2021Yonglong Xie +2 more
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Signatures of fractional quantum anomalous Hall states in twisted MoTe2
Nature, 2023, Eric Anderson, Chong Wang
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