Results 1 to 10 of about 1,369,996 (356)

Uniqueness for weak solutions of parabolic equations with a fractional time derivative

, 2018
We prove uniqueness for weak solutions to abstract parabolic equations with the fractional Marchaud or Caputo time derivative. We consider weak solutions in time for divergence form equations when the fractional derivative is transferred to the test ...
Allen, Mark
core   +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

Numerical Methods for Solving Fractional Differential Equations [PDF]

, 2018
Department of Mathematical SciencesIn this thesis, several efficient numerical methods are proposed to solve initial value problems and boundary value problems of fractional di???erential equations.
Kim, Keon Ho
core  

A new approach for nuclear family model with fractional order Caputo derivative

, 2020
A work on a mathematical modeling is very popular in applied sciences. Nowadays many mathematical models have been considered and new methods have been used for approaching of these models.
I. Koca, Pelin Yaprakdal
semanticscholar   +1 more source

Approximations for the Caputo Derivative (I)

, 2016
In this paper we construct approximations for the Caputo derivative of order $1- ,2- ,2$ and $3- $. The approximations have weights $0.5\left((k+1)^{- }-(k-1)^{- }\right)/ (1- )$ and $k^{-1- }/ (- )$, and the higher accuracy is achieved by modifying the initial and last weights using the expansion formulas for the left and right endpoints ...
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

On memo-viability of fractional equations with the Caputo derivative [PDF]

Advances in Difference Equations, 2015
In this paper viability results for nonlinear fractional differential equations with the Caputo derivative are proved. We give a necessary condition for fractional viability of a locally closed set with respect to a nonlinear function. A specific sufficient condition is also provided.
Małgorzata Wyrwas, Ewa Girejko, Dorota Mozyrska   +2 more
openaire   +2 more sources

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

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  

Solutions of a coupled system of hybrid boundary value problems with Riesz-Caputo derivative

Demonstratio Mathematica
Riesz-Caputo fractional derivative refers to a fractional derivative that reflects both the past and the future memory effects. This study gives sufficient conditions for the existence of solutions for a coupled system of fractional order hybrid ...
Ji Dehong, Fu Shiqiu, Yang Yitao
doaj   +1 more source