Fractional calculus in mathematical oncology. [PDF]
Sci Rep, 2023 Even though, nowadays, cancer is one of the leading causes of death, too little is known about the behavior of this disease due to its unpredictability from one patient to another.
Alinei-Poiana T, Dulf EH, Kovacs L.
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General Fractional Calculus in Multi-Dimensional Space: Riesz Form
Mathematics, 2023 An extension of the general fractional calculus (GFC) is proposed as a generalization of the Riesz fractional calculus, which was suggested by Marsel Riesz in 1949.
Vasily E. Tarasov
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Cosmology under the fractional calculus approach [PDF]
Monthly notices of the Royal Astronomical Society, 2022 Fractional cosmology modifies the standard derivative to Caputo’s fractional derivative of order μ, generating changes in General Relativity. Friedmann equations are modified, and the evolution of the species densities depends on μ and the age of the ...
M. A. García-Aspeitia +4 more
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Weighted Fractional Calculus: A General Class of Operators [PDF]
Fractal and Fractional, 2022 We conduct a formal study of a particular class of fractional operators, namely weighted fractional calculus, and its extension to the more general class known as weighted fractional calculus with respect to functions.
Arran Fernandez, Hafiz Muhammad Fahad
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Research on Application of Fractional Calculus Operator in Image Underlying Processing
Fractal and FractionalFractional calculus extends traditional, integer-based calculus to include non-integer orders, offering a powerful tool for a range of engineering applications, including image processing.
Guo Huang +5 more
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Why the Mittag-Leffler Function Can Be Considered the Queen Function of the Fractional Calculus? [PDF]
Entropy (Basel), 2020 In this survey we stress the importance of the higher transcendental Mittag-Leffler function in the framework of the Fractional Calculus. We first start with the analytical properties of the classical Mittag-Leffler function as derived from being the ...
Mainardi F.
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Advanced materials modelling via fractional calculus: challenges and perspectives. [PDF]
Philos Trans A Math Phys Eng Sci, 2020 Fractional calculus is now a well-established tool in engineering science, with very promising applications in materials modelling. Indeed, several studies have shown that fractional operators can successfully describe complex long-memory and multiscale ...
Failla G, Zingales M.
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The Memory Effect on Fractional Calculus: An Application in the Spread of Covid-19 [PDF]
Comput Appl Math, 2021 de Barros LC +5 more
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Variable-order fractional calculus: A change of perspective [PDF]
Communications in nonlinear science & numerical simulation, 2021 R. Garrappa, A. Giusti, F. Mainardi
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Trends, directions for further research, and some open problems of fractional calculus [PDF]
Nonlinear dynamics, 2021 The area of fractional calculus (FC) has been fast developing and is presently being applied in all scientific fields. Therefore, it is of key relevance to assess the present state of development and to foresee, if possible, the future evolution, or, at ...
K. Diethelm +4 more
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