[SÁCH][B] Delay ordinary and partial differential equations

AD Polyanin, VG Sorokin, AI Zhurov - 2024 - taylorfrancis.com
The book is devoted to linear and nonlinear ordinary and partial differential equations with
constant and variable delay. It considers qualitative features of delay differential equations …

A comprehensive review on fractional-order optimal control problem and its solution

A Abd-Elmonem, R Banerjee, S Ahmad… - Open …, 2023 - degruyter.com
This article presents a comprehensive literature survey on fractional-order optimal control
problems. Fractional-order differential equation is extensively used nowadays to model real …

[HTML][HTML] A collocation method based on Bernoulli operational matrix for numerical solution of generalized pantograph equation

E Tohidi, AH Bhrawy, K Erfani - Applied Mathematical Modelling, 2013 - Elsevier
This paper presents a direct solution technique for solving the generalized pantograph
equation with variable coefficients subject to initial conditions, using a collocation method …

A new Jacobi rational–Gauss collocation method for numerical solution of generalized pantograph equations

EH Doha, AH Bhrawy, D Baleanu, RM Hafez - Applied Numerical …, 2014 - Elsevier
This paper is concerned with a generalization of a functional differential equation known as
the pantograph equation which contains a linear functional argument. In this article, a new …

Approximation methods for solving fractional optimal control problems

SS Zeid, S Effati, AV Kamyad - Computational and Applied Mathematics, 2018 - Springer
In this review paper, approximation methods for the free final time of fractional optimal
control problems (FOCPs) are displayed. The considered problems mainly include the …

Numerical solution of the Bagley–Torvik equation by the Bessel collocation method

Ş Yüzbaşı - Mathematical methods in the applied sciences, 2013 - Wiley Online Library
In this article, a numerical technique is presented for the approximate solution of the Bagley–
Torvik equation, which is a class of fractional differential equations. The basic idea of this …

[HTML][HTML] A Bessel collocation method for solving fractional optimal control problems

E Tohidi, HS Nik - Applied Mathematical Modelling, 2015 - Elsevier
In the present paper, we apply the truncated Bessel series approximation by using
collocation scheme, for solving linear and nonlinear fractional optimal control problems …

[HTML][HTML] A numerical approach to solve the model for HIV infection of CD4+ T cells

Ş Yüzbaşı - Applied Mathematical Modelling, 2012 - Elsevier
In this study, we will obtain the approximate solutions of the HIV infection model of CD4+ T
by develo** the Bessel collocation method. This model corresponds to a class of …

Optimal solution of nonlinear 2D variable-order fractional optimal control problems using generalized Bessel polynomials

Z Avazzadeh, H Hassani… - Journal of Vibration …, 2024 - journals.sagepub.com
This study aims to propose a new optimization method based on the generalized Bessel
polynomials (GBPs) as a class of basis functions for a category of nonlinear two-dimensional …

[HTML][HTML] Nonlinear pantograph-type diffusion PDEs: Exact solutions and the principle of analogy

AD Polyanin, VG Sorokin - Mathematics, 2021 - mdpi.com
We study nonlinear pantograph-type reaction–diffusion PDEs, which, in addition to the
unknown u= u (x, t), also contain the same functions with dilated or contracted arguments of …