Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Optimal control for cancer treatment mathematical model using Atangana–Baleanu–Caputo fractional derivative
View through CrossRef
AbstractIn this work, optimal control for a fractional-order nonlinear mathematical model of cancer treatment is presented. The suggested model is determined by a system of eighteen fractional differential equations. The fractional derivative is defined in the Atangana–Baleanu Caputo sense. Necessary conditions for the control problem are derived. Two control variables are suggested to minimize the number of cancer cells. Two numerical methods are used for simulating the proposed optimal system. The methods are the iterative optimal control method and the nonstandard two-step Lagrange interpolation method. In order to validate the theoretical results, numerical simulations and comparative studies are given.
Springer Science and Business Media LLC
Title: Optimal control for cancer treatment mathematical model using Atangana–Baleanu–Caputo fractional derivative
Description:
AbstractIn this work, optimal control for a fractional-order nonlinear mathematical model of cancer treatment is presented.
The suggested model is determined by a system of eighteen fractional differential equations.
The fractional derivative is defined in the Atangana–Baleanu Caputo sense.
Necessary conditions for the control problem are derived.
Two control variables are suggested to minimize the number of cancer cells.
Two numerical methods are used for simulating the proposed optimal system.
The methods are the iterative optimal control method and the nonstandard two-step Lagrange interpolation method.
In order to validate the theoretical results, numerical simulations and comparative studies are given.
Related Results
Solving Undamped and Damped Fractional Oscillators via Integral Rohit Transform
Solving Undamped and Damped Fractional Oscillators via Integral Rohit Transform
Background: The dynamics of fractional oscillators are generally described by fractional differential equations, which include the fractional derivative of the Caputo or Riemann-Li...
A Numerical Method for Fractional Differential Equations with New Generalized Hattaf Fractional Derivative
A Numerical Method for Fractional Differential Equations with New Generalized Hattaf Fractional Derivative
Nowadays, fractional derivative is used to model various problems in science and engineering. In this paper, a new numerical method to approximate the generalized Hattaf fractional...
Modelling Heat Transfer in Nanofluids Using Fractional Calculus: Comparative Analysis of Caputo, Caputo-Fabrizio, and Atangana-Baleanu-Caputo Derivatives
Modelling Heat Transfer in Nanofluids Using Fractional Calculus: Comparative Analysis of Caputo, Caputo-Fabrizio, and Atangana-Baleanu-Caputo Derivatives
This research investigates the behavior of nanofluids in solar thermal systems by incorporating fractional calculus. The study compares three fractional derivatives—Caputo, Caputo-...
Earth recharge model with crossover behaviors: application of piecewise differentiation
Earth recharge model with crossover behaviors: application of piecewise differentiation
Abstract
The estimation of groundwater recharge is usually done with direct or indirect measurement techniques that are site-specific and derived primarily from flux meas...
A New Mixed Fractional Derivative with Application to Computational Biology
A New Mixed Fractional Derivative with Application to Computational Biology
This study develops a new definition of fractional derivative that mixes the definitions of fractional derivatives with singular and non-singular kernels. Such developed definition...
A New Mixed Fractional Derivative with Applications in Computational Biology
A New Mixed Fractional Derivative with Applications in Computational Biology
This study develops a new definition of a fractional derivative that mixes the definitions of fractional derivatives with singular and non-singular kernels. This developed definiti...
Edoxaban and Cancer-Associated Venous Thromboembolism: A Meta-analysis of Clinical Trials
Edoxaban and Cancer-Associated Venous Thromboembolism: A Meta-analysis of Clinical Trials
Abstract
Introduction
Cancer patients face a venous thromboembolism (VTE) risk that is up to 50 times higher compared to individuals without cancer. In 2010, direct oral anticoagul...
Existence and uniqueness of nonlinear fractional differential equations with the Caputo and the Atangana-Baleanu derivatives: Maximal, minimal and Chaplygin approaches
Existence and uniqueness of nonlinear fractional differential equations with the Caputo and the Atangana-Baleanu derivatives: Maximal, minimal and Chaplygin approaches
<p>This work provided a detailed theoretical analysis of fractional ordinary differential equations with Caputo and the Atangana-Baleanu fractional derivative. The work start...