Results 221 to 230 of about 17,914 (237)

Analysis of time-fractional cancer-tumor immunotherapy model using modified He-Laplace algorithm. [PDF]

Sci Rep
Qayyum M, Nayab S, Siddique I, Ghallab A.   +3 more
europepmc   +1 more source

Fractional order modeling of prostate cancer with pulsed treatment and the impact of effector cell killing and cell competition. [PDF]

Sci Rep
Saber H, Albala H, Aljaaidi T, Jawarneh Y, Moumen A, Aldwoah K.   +5 more
europepmc   +1 more source

Efficient simulation of plasma physics' time fractional modified Korteweg-de Vries equations. [PDF]

PLoS One
Alharthi NS.
europepmc   +1 more source

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On a Caputo-type fractional derivative

Advances in Pure and Applied Mathematics, 2019
Abstract In this paper, we present a new differential operator of arbitrary order defined by means of a Caputo-type modification of the generalized fractional derivative recently proposed by Katugampola. The generalized fractional derivative, when convenient limits are considered, recovers the Riemann–Liouville and the Hadamard derivatives ...
Daniela Oliveira, Edmundo Capelas de Oliveira   +1 more
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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, Krunal B. Kachhia, J. F. Gómez‐Aguilar   +2 more
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Initialization Issues of the Caputo Fractional Derivative

Volume 6: 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 2005
The importance of proper initialization in taking into account the history of a system whose time evolution is governed by a differential equation of fractional order, has been established by Lorenzo and Hartley, who also gave the method of properly incorporating the effect of the past (history) by means of an initialization function for the Riemann ...
Carl F. Lorenzo, Tom T. Hartley, B. N. Narahari Achar   +2 more
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Analysis of fractional Fokker-Planck equation with Caputo and Caputo-Fabrizio derivatives

Annals of the University of Craiova - Mathematics and Computer Science Series, 2021
This research focus on the determination of the numerical solution for the mathematical model of Fokker-Planck equations utilizing a new method, in which Sumudu transformation and homotopy analysis method (SHAM) are used together. By SHAM analytical series solution of any mathematical model including fractional derivative can be obtained.
Suleyman Cetinkaya, Ali Demir, Dumitru Baleanu   +2 more
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Automatic initialization of the Caputo fractional derivative

IEEE Conference on Decision and Control and European Control Conference, 2011
Initialization of Riemann-Liouville and Caputo fractional derivatives remains an open research topic. These fractional derivatives are fundamentally related to fractional integration operators, so their initial conditions are the initial state vector of the associated fractional integrators.
Nezha Maamri, Alain Oustaloup, J-C. Trigeassou   +2 more
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A new fractional integral associated with the Caputo–Fabrizio fractional derivative

Rendiconti del Circolo Matematico di Palermo Series 2, 2020
In this article, we introduce a new fractional integral (FI) associated with the Caputo–Fabrizio fractional derivative. As a theoretical example, we have solved a fractional boundary value problem (BVP) using the proposed FI. A Matlab script to solve this BVP is also provided.
M. Moumen Bekkouche, H. Guebbai, M. Kurulay, S. Benmahmoud   +3 more
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