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A fractional SEIVRB model for aquatic diseases dynamics with stability analysis and numerical solution. [PDF]
Kosari S +3 more
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In this study, we present the new generalized derivative and integral operators which are based on the newly constructed new generalized Caputo fractal–fractional derivatives (NGCFFDs).
Norazak Senu +2 more
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Discretised general fractional derivative
Mathematics and Computers in Simulation, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Enyu Fan, Changpin Li, Martin Stynes
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Two compartmental fractional derivative model with general fractional derivative
Journal of Pharmacokinetics and Pharmacodynamics, 2022This study presents a new two compartmental model with, recently defined General fractional derivative. We review that concept of General fractional derivative and use the kernel function that generalizes the classical Caputo derivative in a mathematically consistent way.
Vesna Miskovic-Stankovic +2 more
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A class of time-fractional diffusion equations with generalized fractional derivatives
Journal of Computational and Applied Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anatoly A. Alikhanov, Chengming Huang
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In this paper, the integral balance methods of the Stokes’ first equation have been presented. The approximate solution of the fractional Stokes’ first equation using the heat balance integral method has been proposed.
Ndolane Sene, Sene Ndolane
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NONCONSERVATIVE SYSTEMS WITHIN FRACTIONAL GENERALIZED DERIVATIVES
IFAC Proceedings Volumes, 2006A fractional derivative generalizes an ordinary derivative, and therefore the derivative of the product of two functions differs from that for the classical (integer) case; the integration by parts for Riemann-Liouville fractional derivatives involves both the left and right fractional derivatives. Despite these restrictions, fractional calculus models
Baleanu, Dumitru, Muslih, Sami I.
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Fractional viscoelastic models with Caputo generalized fractional derivative
Mathematical Methods in the Applied Sciences, 2021This article focuses on fractional Maxwell model of viscoelastic materials, which are a generalization of classic Maxwell model to noninteger order derivatives. We present and discuss formulations of the fractional order viscoelastic model and give physical interpretations of the model by using viscoelastic functions.
Nikita Bhangale +2 more
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Generalized fractional derivatives generated by a class of local proportional derivatives
The European Physical Journal Special Topics, 2017Recently, Anderson and Ulness [Adv. Dyn. Syst. Appl. 10, 109 (2015)] utilized the concept of the proportional derivative controller to modify the conformable derivatives. In parallel to Anderson’s work, Caputo and Fabrizio [Progr. Fract. Differ. Appl.
Fahd Jarad +2 more
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