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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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On the Green’s Function for a Boundary Value Problem for a Differential Equation With the Fractional Derivative of the Gerasimov – Caputo Type

Herald of Dagestan State University
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To Boundary-Value Problems for Degenerating Pseudoparabolic Equations With Gerasimov–Caputo Fractional Derivative

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 ...
Murat Beshtokov
exaly   +3 more sources

Dirichlet-Type Problem for an Even-Order Degenerate Equation with Gerasimov–Caputo Fractional Derivative

Mathematical Notes
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Irgashev Bakhrom
exaly   +3 more sources

Initial-Boundary Value Problems for the Loaded Hallaire Equation with Gerasimov–Caputo Fractional Derivatives of Different Orders

Lecture Notes in Networks and Systems, 2023
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Symmetries of fractional Allen–Cahn models with a Gerasimov–Caputo Derivative

Computational Mathematics and Modeling
Sergey A. Bogoslovskiy, Vladimir E. Fedorov   +1 more
exaly   +2 more sources

Symmetries of Fractional Guéant–Pu Model with Gerasimov–Caputo Time-Derivative

Journal of Mathematical Sciences, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yadrikhinskiy, Kh. V., Fedorov, V. E.
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Refinement of Variable Order Fractional Derivative of Gerasimov-Caputo Type by Multidimensional Levenberg-Marquardt Optimization Method

Springer Proceedings in Mathematics and Statistics
Дмитрий Твёрдый
exaly   +2 more sources