The Application of Fractional Calculus in Chinese Economic Growth Models

The Application of Fractional Calculus in Chinese Economic Growth Models

In this paper, we apply Caputo-type fractional order calculus to simulate China’s gross domestic product (GDP) growth based on R software, which is a free software environment for statistical computing and graphics. Moreover, we compare the results for the fractional model with the integer...

Full description

Bibliographic Details
Main Authors:	Hao Ming, JinRong Wang, Michal Fečkan
Format:	Article
Language:	English
Published:	MDPI AG 2019-07-01
Series:	Mathematics
Subjects:	Caputo fractional derivative economic growth model least squares method
Online Access:	https://www.mdpi.com/2227-7390/7/8/665

Similar Items

Applying Fractional Calculus to Analyze Economic Growth Modelling
by: Luo D., et al.
Published: (2018-05-01)

Applying fractional calculus to analyze final consumption and gross investment influence on GDP
by: Badík A., et al.
Published: (2021-05-01)

Note on weakly fractional differential equations
by: Michal Fečkan, et al.
Published: (2019-04-01)

Differential inclusions of arbitrary fractional order with anti-periodic conditions in Banach spaces
by: JinRong Wang, et al.
Published: (2016-06-01)

Stability of solutions of Caputo fractional stochastic differential equations
by: Guanli Xiao, et al.
Published: (2021-07-01)

Solution of fractional autonomous ordinary differential equations
by: Abdelhadi, A., et al.
Published: (2022)

Stability Analysis of a Fractional-Order Linear System Described by the Caputo–Fabrizio Derivative
by: Hong Li, et al.
Published: (2019-02-01)

Numerical algorithm based on fast convolution for fractional calculus
by: Chen An, et al.
Published: (2012-01-01)

A modification of the reduced differential transform method for fractional calculus
by: Wang Kang-Le, et al.
Published: (2018-01-01)

Solving Abel integral equations of first kind via fractional calculus
by: Salman Jahanshahi, et al.
Published: (2015-04-01)

Hyers–Ulam Stability and Existence of Solutions for Differential Equations with Caputo–Fabrizio Fractional Derivative
by: Kui Liu, et al.
Published: (2019-04-01)

Fractional calculus in data fitting
by: N.H. Can, et al.
Published: (2020-10-01)

Ordinary Differential Equation with Left and Right Fractional Derivatives and Modeling of Oscillatory Systems
by: Liana Eneeva, et al.
Published: (2020-11-01)

Hybrid approximations for fractional calculus
by: Razzaghi Mohsen
Published: (2019-01-01)

<b>A Fixed-Point Approach to the Hyers–Ulam Stability of Caputo–Fabrizio Fractional Differential Equations</b>
by: Kui Liu, et al.
Published: (2020-04-01)

A numerical technique for solving fractional optimal control problems and fractional Riccati differential equations
by: F. Ghomanjani
Published: (2016-10-01)

Numerical simulation of the fractional Langevin equation
by: Guo Peng, et al.
Published: (2012-01-01)

Dynamics of fractional order nonlinear system: A realistic perception with neutrosophic fuzzy number and Allee effect
by: Najeeb Alam Khan, et al.
Published: (2021-09-01)

A generalized neutral-type inclusion problem in the frame of the generalized Caputo fractional derivatives
by: Adel Lachouri, et al.
Published: (2021-08-01)

Theories and applications of the inverse fractional natural transform method
by: Mahmoud S. Rawashdeh, et al.
Published: (2018-06-01)

Numerical studies for solving System of Linear Fractional Integro-Differential Equations by using least squares method and shifted Chebyshev polynomials of the third kind method
by: Amr Mahdy
Published: (2016-07-01)

Numerical studies for solving System of Linear Fractional Integro-Differential Equations by using least squares method and shifted Chebyshev polynomials of the third kind method
by: Amr Mahdy
Published: (2016-07-01)

A sigmoidal fractional derivative for regularization
by: Mostafa Rezapour, et al.
Published: (2020-04-01)

Existence and Ulam-Hyers Stability of ODEs Involving Two Caputo Fractional Derivatives
by: Shan Peng, et al.
Published: (2015-08-01)

On the fractional derivatives at extrema points
by: Mohammed Al-Refai
Published: (2012-08-01)

Caputo fractional Iyengar type Inequalities
by: George A. Anastassiou
Published: (2019-08-01)

On applications of Caputo k-fractional derivatives
by: Ghulam Farid, et al.
Published: (2019-10-01)

Ulam stability and data dependence for fractional differential equations with Caputo derivative
by: JinRong Wang, et al.
Published: (2011-08-01)

Existence of solutions for a system of singular sum fractional q-differential equations via quantum calculus
by: Mohammad Esmael Samei
Published: (2020-01-01)

Hyers–Ulam Stability and Existence of Solutions to the Generalized Liouville–Caputo Fractional Differential Equations
by: Kui Liu, et al.
Published: (2020-06-01)

Growth Equation of the General Fractional Calculus
by: Anatoly N. Kochubei, et al.
Published: (2019-07-01)

Newton-Type Methods on Generalized Banach Spaces and Applications in Fractional Calculus
by: George A. Anastassiou, et al.
Published: (2015-10-01)

A numerical scheme for problems in fractional calculus
by: Razzaghi M.
Published: (2018-01-01)

Boundary Value Problems For Caputo-Hadamard Fractional Differential Equations
by: Wafaa Benhamida, et al.
Published: (2018-08-01)

Nonlinear sequential fractional differential equations with nonlocal boundary conditions
by: Nazim I Mahmudov, et al.
Published: (2017-10-01)

Boundary-value problems for fractional heat equation involving Caputo-Fabrizio derivative
by: Erkinjon Karimov, et al.
Published: (2016-10-01)

Univariate right fractional Ostrowski inequalities
by: George A Anastassiou
Published: (2012-01-01)

Nonlinear generalized fractional differential equations with generalized fractional integral conditions
by: Samiha Belmor, et al.
Published: (2020-01-01)

Modeling of a Mass-Spring-Damper System by Fractional Derivatives with and without a Singular Kernel
by: José Francisco Gómez-Aguilar, et al.
Published: (2015-09-01)

Caputo SIR model for COVID-19 under optimized fractional order
by: Ali S. Alshomrani, et al.
Published: (2021-03-01)