Results 101 to 110 of about 388,923 (185)

Extended Caputo k-type fractional derivative operator and its properties

Partial Differential Equations in Applied Mathematics
In this paper, we present some extensions of the k-hypergeometric functions and then develop the extended Caputo k-type fractional derivative operator by using two parameters k-Mittag–Leffler function.
Parik Laxmi, Shilpi Jain, Praveen Agarwal   +2 more
doaj   +1 more source

Generalized caputo fractional derivative and its applications

, 2012
Özarslan ve Özergin 2010 yılında yayınladıkları bir makalelerinde [1], orijinal Riemann-Liouville kesirli türev operatörüne ekstra bir parametre ekleyerek operatörü genisletmislerdir.
Sökmen, Yusuf
core  

Numerical methods for fractional differential equations by new caputo and hadamard types operators [PDF]

, 2020
Fractional ordinary differential equation (FODE) and fractional partial differential equation (FPDE) emerges in various modelling of physics phenomena. Over past decades, several fractional derivative and operator has been introduced such as Caputo-
Toh, Yoke Teng
core  

Fractional Linear Systems With Nonsingular Kernel: Explicit Solutions and Ulam–Hyers Stability

Journal of Mathematics
This paper is devoted to the explicit representation of solutions for a class of differential equations involving the Caputo–Fabrizio fractional derivative with a nonsingular kernel.
Mustafa Aydin
doaj   +1 more source

Existence of Solutions for Anti-Periodic Fractional Differential Inclusions Involving ψ-Riesz-Caputo Fractional Derivative

, 2019
In this paper, we investigate the existence of solutions for a class of anti-periodic fractional differential inclusions with ψ -Riesz-Caputo fractional derivative.
Chuanzhi Bai, Dandan Yang
core   +1 more source

SEIR epidemic model for COVID-19 transmission by Caputo derivative of fractional order. [PDF]

Adv Differ Equ, 2020
Rezapour S, Mohammadi H, Samei ME.
europepmc   +1 more source

Applications of the Mittag-Leffler law to linear kinetic models & diffusion equations

Scientific Reports
In this paper, we find the solutions to kinetic models and a one-dimensional diffusion equation applied to the Atangana-Baleanu-Caputo fractional derivative (ABCFD).
Victor Tebogo Monyayi, Emile Franc Doungmo Goufo, Ignace Tchangou Toudjeu   +2 more
doaj   +1 more source

On Cauchy problems with Caputo Hadamard fractional derivatives

, 2016
Summary: The current work is motivated by the so-called Caputo-type modification of the Hadamard or Caputo Hadamard fractional derivative. The main aim of this paper is to study Cauchy problems for a differential equation with a left Caputo Hadamard fractional derivative in spaces of continuously differentiable functions.
Adjabi, Y., Jarad, Fahd, Baleanu, D., Abdeljawad, T.   +3 more
openaire   +2 more sources

A numerical framework for fractional and fractal-fractional analysis of the Pehlivan chaotic system using Caputo derivative. [PDF]

Sci Rep
Vinoth R, Jayalakshmi M.
europepmc   +1 more source

A fractional model based on caputo derivative for tuberculosis transmission using real data from Kenya. [PDF]

Sci Rep
Bhatia B, Bhatter S, Purohit SD, Baleanu D, Suthar DL.   +4 more
europepmc   +1 more source