Results 231 to 240 of about 15,213 (267)
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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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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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Finite Fractional Sturm–Liouville Transforms For Generalized Fractional Derivatives
Iranian Journal of Science and Technology, Transactions A: Science, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eshaghi, Shiva, Ansari, Alireza
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A generalized local fractional derivative with applications
Journal of Computational PhysicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sroor M. Elnady +3 more
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Taylor’s Series Generalized for Fractional Derivatives and Applications
SIAM Journal on Mathematical Analysis, 1971The familiar Taylor’s series expansion of the function , $f(z)$ has for its general term $D^n f(z_0 ){{(z - z_0 )^n } / {n!}}$. A new generalization of Taylor’s series in which the general term is $D^{an + \gamma } f(z_0 ){{(z - z_0 )^{an + \gamma } } / {\Gamma (an + \gamma + 1)}}$, where $a > 0$ and $\gamma $ is an arbitrary complex number, is ...
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General fractional integrals and derivatives and their applications
Physica D: Nonlinear Phenomena, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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