Results 61 to 70 of about 388,923 (185)

Unexpected behavior of Caputo fractional derivative

, 2017
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Processo FAPESP: 2013/08133-0This paper discusses the modeling via mathematical methods based on fractional calculus, using ...
de Figueiredo Camargo, Rubens [UNESP], de Arruda Mancera, Paulo Fernando [UNESP], Kuroda, Lucas Kenjy Bazaglia [UNESP], de Arruda Mancera, Paulo Fernando, Tavoni, Robinson, Varalta, Najla, Tavoni, Robinson [UNESP], Gomes, Arianne Vellasco, Kuroda, Lucas Kenjy Bazaglia, Gomes, Arianne Vellasco [UNESP], Varalta, Najla [UNESP], de Figueiredo Camargo, Rubens   +11 more
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On the stable numerical evaluation of caputo fractional derivatives

Computers & Mathematics with Applications, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Psi-Caputo Logistic Population Growth Model

Journal of Mathematics, 2021
This article studies modeling of a population growth by logistic equation when the population carrying capacity K tends to infinity. Results are obtained using fractional calculus theories.
Muath Awadalla, Yves Yannick Yameni Noupoue, Kinda Abu Asbeh   +2 more
doaj   +1 more source

Application of Newton’s polynomial interpolation scheme for variable order fractional derivative with power-law kernel

Scientific Reports
This paper, offers a new method for simulating variable-order fractional differential operators with numerous types of fractional derivatives, such as the Caputo derivative, the Caputo–Fabrizio derivative, the Atangana–Baleanu fractal and fractional ...
S Naveen, V Parthiban
doaj   +1 more source

Instantaneous and Non-Instantaneous Impulsive Boundary Value Problem Involving the Generalized ψ-Caputo Fractional Derivative

, 2023
This paper studies a new class of instantaneous and non-instantaneous impulsive boundary value problem involving the generalized ψ-Caputo fractional derivative with a weight.
Yankai Li, Xiaozhou Feng, Dongping Li, Fangqi Chen   +3 more
core   +1 more source

Fractional Boundary Layer Flow: Lie Symmetry Analysis and Numerical Solution

Mathematics
In this paper, we present a fractional version of the Sakiadis flow described by a nonlinear two-point fractional boundary value problem on a semi-infinite interval, in terms of the Caputo derivative.
Alessandra Jannelli, Maria Paola Speciale   +1 more
doaj   +1 more source

Fractional Cauchy Problem with Caputo Nabla Derivative on Time Scales [PDF]

, 2015
The definition of Caputo fractional derivative is given and some of its properties are discussed in detail. After then, the existence of the solution and the dependency of the solution upon the initial value for Cauchy type problem with fractional Caputo
Jiang Zhu, Ling Wu
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A Comparative Study of Natural Convection Flow of Fractional Maxwell Fluid with Uniform Heat Flux and Radiation

Complexity, 2021
This paper focuses on the comparative study of natural convection flow of fractional Maxwell fluid having uniform heat flux and radiation. The well-known Maxwell fluid equation with an integer-order derivative has been extended to a non-integer-order ...
Ruihua Tang, Sadique Rehman, Aamir Farooq, Muhammad Kamran, Muhammad Imran Qureshi, Asfand Fahad, Jia-Bao Liu   +6 more
doaj   +1 more source

High Order Approximation to Caputo Derivative On Graded Mesh and Time-Fractional Diffusion Equation for Non-smooth Solutions

In this paper, a high-order approximation to Caputo-type time-fractional diffusion equations involving an initial-time singularity of the solution is proposed.
Kumari, Shweta, Singh, Abhishek Kumar, Mehandiratta, Vaibhav, Mehra, Mani   +3 more
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Survey and new results on boundary-value problems of singular fractional differential equations with impulse effects

Electronic Journal of Differential Equations, 2016
Firstly we prove existence and uniqueness of solutions of Cauchy problems of linear fractional differential equations (LFDEs) with two variable coefficients involving Caputo fractional derivative, Riemann-Liouville derivative, Caputo type Hadamard ...
Yuji Liu
doaj