[图书][B] Fractional calculus: models and numerical methods
The subject of fractional calculus and its applications (that is, convolution-type pseudo-
differential operators including integrals and derivatives of any arbitrary real or complex …
differential operators including integrals and derivatives of any arbitrary real or complex …
Stationary distribution extinction and optimal control for the stochastic hepatitis B epidemic model with partial immunity
A Din, Y Li - Physica Scripta, 2021 - iopscience.iop.org
In this paper, a stochastic model (with random noise transmission) is designed. The model
possesses substantial potential to describe the dynamical behavior of the Hepatitis B (HBV) …
possesses substantial potential to describe the dynamical behavior of the Hepatitis B (HBV) …
Non-axisymmetric solutions to time-fractional diffusion-wave equation in an infinite cylinder
Y Povstenko - Fractional Calculus and Applied Analysis, 2011 - Springer
The time-fractional diffusion-wave equation is considered in an infinite cylinder in the case of
three spatial coordinates r, ϕ and z. The Caputo fractional derivative of the order 0< α≤ 2 is …
three spatial coordinates r, ϕ and z. The Caputo fractional derivative of the order 0< α≤ 2 is …
Numerical solution a class of 2D fractional optimal control problems by using 2D Müntz‐Legendre wavelets
P Rahimkhani, Y Ordokhani - Optimal Control Applications and …, 2018 - Wiley Online Library
In this paper, a method for finding an approximate solution of a class of 2D fractional optimal
control problems with fractional‐order dynamical system is discussed. In the proposed …
control problems with fractional‐order dynamical system is discussed. In the proposed …
Fractional-order Boubaker functions and their applications in solving delay fractional optimal control problems
K Rabiei, Y Ordokhani… - Journal of Vibration and …, 2018 - journals.sagepub.com
In this paper, a new set of functions called fractional-order Boubaker functions is defined for
solving the delay fractional optimal control problems with a quadratic performance index. To …
solving the delay fractional optimal control problems with a quadratic performance index. To …
The measles epidemic model assessment under real statistics: an application of stochastic optimal control theory
A stochastic epidemic model with random noise transmission is taken into account,
describing the dynamics of the measles viral infection. The basic reproductive number is …
describing the dynamics of the measles viral infection. The basic reproductive number is …
Free final time fractional optimal control problems
A formulation and solution scheme of free final time fractional optimal control problems is
presented in this paper. The dynamic constraint is described by a fractional differential …
presented in this paper. The dynamic constraint is described by a fractional differential …
A numerical scheme for solving two-dimensional fractional optimal control problems by the Ritz method combined with fractional operational matrix
A Nemati, SA Yousefi - IMA Journal of Mathematical Control and …, 2017 - academic.oup.com
In this article, we present a new method to solve a class of two-dimensional fractional
optimal control problems based upon the numerical polynomial approximation. In the …
optimal control problems based upon the numerical polynomial approximation. In the …
Numerical solution of 2D fractional optimal control problems by the spectral method along with Bernstein operational matrix
A Nemati - International Journal of control, 2018 - Taylor & Francis
This paper presents an approximate method to solve a class of two-dimensional fractional
optimal control problems with nonlinear dynamical system. To implement the new method …
optimal control problems with nonlinear dynamical system. To implement the new method …
Existence results for solutions of nonlinear fractional differential equations
This paper deals with theoretical and constructive existence results for solutions of nonlinear
fractional differential equations using the method of upper and lower solutions which …
fractional differential equations using the method of upper and lower solutions which …