Results 171 to 180 of about 2,241 (195)

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
openaire   +2 more sources

Caputo fractional derivative of $$\alpha $$-fractal spline

Numerical Algorithms
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T. M. C. Priyanka, A. Gowrisankar, M. Guru Prem Prasad, Yongshun Liang, Jinde Cao   +4 more
openaire   +2 more sources

Approximations of fractional integrals and Caputo fractional derivatives

Applied Mathematics and Computation, 2006
In a series of recent papers [see \textit{K. Diethelm, A. D. Freed} and \textit{N. J. Ford}, Numer. Algorithms 36, No. 1, 31--52 (2004; Zbl 1055.65098)], and the references cited therein], the reviewer and his collaborators have proposed and analysed a numerical scheme for the approximation of \(J^\alpha\), the Riemann-Liouville fractional integral of ...
openaire   +1 more source

To the Theory of Differential Inclusions with Caputo Fractional Derivatives

Differential Equations, 2020
The paper studies a Cauchy problem associated to fractional differential inclusions of the form \[ ^CD^{\alpha }x(t)\in F(t,x(t)),\quad a.e.\; t\in [t_0,T], \] \[ x(t)=w_0(t),\quad t\in [0,t_0], \] where \(\alpha \in (0,1)\), \(^CD^{\alpha }\) denotes Caputo's fractional derivative, \(F:[0,T]\times {\mathbb{R}}^n\to \mathcal{P}({\mathbb{R}}^n)\) is a ...
openaire   +1 more source

Dynamical Analysis of Generalized Tumor Model with Caputo Fractional-Order Derivative

Fractal and Fractional, 2023
M Ausif Padder, Sania Qureshi, Amanullah Soomro   +2 more
exaly  

On modelling of epidemic childhood diseases with the Caputo-Fabrizio derivative by using the Laplace Adomian decomposition method

AEJ - Alexandria Engineering Journal, 2020
Dumitru Baleanu, Hakimeh Mohammadi, Shahram Rezapour   +2 more
exaly  

Lyapunov stability theorems for $$\psi $$-Caputo derivative systems

Fractional Calculus and Applied Analysis, 2022
Bichitra Kumar Lenka, Swaroop Nandan Bora, Bora Swaroop Nandan   +2 more
exaly  

Caputo and Atangana-Baleanu-Caputo Fractional Derivative Applied to Garden Equation

2020
In this study, the garden equation which is a nonlinear partial differential equation is discussed. First, we will expand the garden equation to the Caputo derivative and Atangana-Baleanu fractional derivative in the sense of Caputo. Then, we will then demonstrate the existence of the new equation with the help of the fixed point theorem.
openaire   +1 more source

Fundamental results on weighted Caputo–Fabrizio fractional derivative

Chaos, Solitons and Fractals, 2019
Mohammed Al-Refai
exaly  

Commutative and associative properties of the Caputo fractional derivative and its generalizing convolution operator

Communications in Nonlinear Science and Numerical Simulation, 2020
Luisa Beghin, Michele Caputo
exaly