Results 261 to 270 of about 6,876 (298)

An efficient operation matrix method for solving fractal–fractional differential equations with generalized Caputo-type fractional–fractal derivative

open access: yesMathematics and Computers in Simulation, 2021
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
exaly   +2 more sources

Discretised general fractional derivative

Mathematics and Computers in Simulation, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Enyu Fan, Changpin Li, Martin Stynes
openaire   +2 more sources

Two compartmental fractional derivative model with general fractional derivative

Journal of Pharmacokinetics and Pharmacodynamics, 2022
This 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
openaire   +2 more sources

A class of time-fractional diffusion equations with generalized fractional derivatives

Journal of Computational and Applied Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anatoly A. Alikhanov, Chengming Huang
openaire   +1 more source

Integral Balance Methods for Stokes’ First Equation Described by the Left Generalized Fractional Derivative

open access: yesPhysics, 2019
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
exaly   +2 more sources

NONCONSERVATIVE SYSTEMS WITHIN FRACTIONAL GENERALIZED DERIVATIVES

IFAC Proceedings Volumes, 2006
A 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.
openaire   +2 more sources

Fractional viscoelastic models with Caputo generalized fractional derivative

Mathematical Methods in the Applied Sciences, 2021
This 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
openaire   +2 more sources

Generalized fractional derivatives generated by a class of local proportional derivatives

The European Physical Journal Special Topics, 2017
Recently, 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
openaire   +1 more source

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