Generalized Bernoulli Polynomials: Solving Nonlinear 2D Fractional Optimal Control Problems
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-020-01213-0
Abstract: This work develops an optimization method based on a new class of basis function, namely the generalized Bernoulli polynomials (GBP), to solve a class of nonlinear 2-dim fractional optimal control problems. The problem is generated… read more here.
Keywords: control; bernoulli polynomials; nonlinear fractional; generalized bernoulli ... See more keywords
An optimization technique for solving a class of nonlinear fractional optimal control problems: Application in cancer treatment
Sign Up to like & getrecommendations! Published in 2021 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2021.01.004
Abstract: Abstract This paper proposes an optimization method for solving a general form of nonlinear fractional optimal control problems (NFOCP) governed by nonlinear fractional dynamical systems and mixed conditions. A model for cancer treatment based on… read more here.
Keywords: optimization; fractional optimal; nonlinear fractional; optimal control ... See more keywords
A new fractional orthogonal basis and its application in nonlinear delay fractional optimal control problems.
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DOI: 10.1016/j.isatra.2020.12.037
Abstract: This paper aims to devise a novel fractional orthogonal basis to solve a certain class of nonlinear fractional optimal control problems with delay whose system dynamics is governed by a nonlinear fractional differential equation of… read more here.
Keywords: new fractional; orthogonal basis; basis; control problems ... See more keywords
Analysis of Climatic Model Using Fractional Optimal Control
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DOI: 10.1155/2023/7482381
Abstract: CO2 emissions are one of the most critical and challenging problems impacting the atmosphere. In order to reduce CO2 emissions, significant efforts must be put forward in advanced research. In this research, we propose a… read more here.
Keywords: climatic model; optimal control; analysis climatic; fractional optimal ... See more keywords
On fractional optimal control problems with an application in fractional chaotic systems using a Legendre collocation-optimization technique
Sign Up to like & getrecommendations! Published in 2021 at "Transactions of the Institute of Measurement and Control"
DOI: 10.1177/0142331220969583
Abstract: In this paper, an intelligence method based on single layer legendre neural network is proposed to solve fractional optimal control problems where the dynamic control system depends on Caputo fractional derivatives. First, with the help… read more here.
Keywords: using legendre; control; fractional chaotic; control problems ... See more keywords
Fractional optimal control of COVID-19 pandemic model with generalized Mittag-Leffler function
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DOI: 10.1186/s13662-021-03546-y
Abstract: In this paper, we consider a fractional COVID-19 epidemic model with a convex incidence rate. The Atangana–Baleanu fractional operator in the Caputo sense is taken into account. We establish the equilibrium points, basic reproduction number,… read more here.
Keywords: control covid; model; covid pandemic; optimal control ... See more keywords
Boubaker Hybrid Functions and their Application to Solve Fractional Optimal Control and Fractional Variational Problems
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DOI: 10.21136/am.2018.0083-18
Abstract: A new hybrid of block-pulse functions and Boubaker polynomials is constructed to solve the inequality constrained fractional optimal control problems (FOCPs) with quadratic performance index and fractional variational problems (FVPs). First, the general formulation of… read more here.
Keywords: fractional optimal; boubaker hybrid; fractional variational; optimal control ... See more keywords