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Caputo fractional-order SVIR model for rotavirus: Numerical solutions using Laplace-Adomian decomposition method. [PDF]

PLoS One
Hossain M, Ullah MA.
europepmc   +1 more source

Numerical robustness of COVID-19 model with Lyapunov stability analysis. [PDF]

Sci Rep
Pandey A, Ghosh S.
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A Fractional-Derivative Multi-Kernel Adaptive Learning Approach for Remaining Useful Life Prediction of Rotating Machinery. [PDF]

Sensors (Basel)
Pan L, Xu J, Peng L, Bi D, Xie Y.
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Comparative behavior of steam turbine model for dynamical power system analyses by means of multiple fractional and artificial neural network techniques. [PDF]

Sci Rep
Abro KA, Souayeh B, Flah A.
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Physics-informed neural networks with caputo-fabrizio derivatives for nonlinear fractal-fractional delay equations and chaotic systems. [PDF]

Sci Rep
Khan H, Sulaiman M, Laouini G, Rahman IU, Salman MA.   +4 more
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Classes of Operators in Fractional Calculus: A Case Study

Mathematical Methods in the Applied Sciences, 2021
The notion of general classes of operators has recently been proposed as an approach to fractional calculus that respects pure and applied viewpoints equally. Here we demonstrate this approach as it applies to the operators with three‐parameter Mittag‐Leffler kernels defined by Prabhakar in 1971.
Dumitru Baleanu, Arran Fernandez
exaly   +2 more sources

Mikusiński's operational calculus for Prabhakar fractional calculus

Integral Transforms and Special Functions, 2022
The operational calculus method of Mikusinski is a powerful yet underappreciated theory, enabling differential equations to be solved using abstract algebra. We interpret the fractional integrals and derivatives of Prabhakar type within Mikusinski's theory, by defining them on appropriate function spaces and using judiciously their fundamental ...
Noosheza Rani, Arran Fernandez
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Operational calculus for Caputo fractional calculus with respect to functions and the associated fractional differential equations

Applied Mathematics and Computation, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hafiz Muhammad Fahad, Arran Fernandez
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The Special Functions of Fractional Calculus as Generalized Fractional Calculus Operators of Some Basic Functions

Computers and Mathematics With Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Virginia S. Kiryakova
exaly   +4 more sources