Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

Variational Problems Involving a Generalized Fractional Derivative with Dependence on the Mittag–Leffler Function

Ricardo Almeida
Fractal and Fractional 7 (6) 477 (2023)
DOI: 10.3390/fractalfract7060477
See this article

Global stabilization of uncertain nonlinear systems via fractional-order PID

Song Chen, Tehuan Chen, Jian Chu and Chao Xu
Communications in Nonlinear Science and Numerical Simulation 116 106838 (2023)
DOI: 10.1016/j.cnsns.2022.106838
See this article

Some necessary optimality conditions for systems with fractional Caputo derivatives

Shakir Sh. Yusubov and Elimhan N. Mahmudov
Journal of Industrial and Management Optimization (2023)
DOI: 10.3934/jimo.2023063
See this article

Fractional Order Systems and Applications in Engineering

Faïçal Ndaïrou and Delfim F.M. Torres
Fractional Order Systems and Applications in Engineering 267 (2023)
DOI: 10.1016/B978-0-32-390953-2.00023-2
See this article

On the Maximum Principle for Optimal Control Problems of Stochastic Volterra Integral Equations with Delay

Yushi Hamaguchi
Applied Mathematics & Optimization 87 (3) (2023)
DOI: 10.1007/s00245-022-09958-w
See this article

Optimality conditions of singular controls for systems with Caputo fractional derivatives

Shakir Sh. Yusubov and Elimhan N. Mahmudov
Journal of Industrial and Management Optimization 19 (1) 246 (2023)
DOI: 10.3934/jimo.2021182
See this article

Sign of the Solutions of Linear Fractional Differential Equations and Some Applications

Rui A. C. Ferreira
Vietnam Journal of Mathematics 51 (2) 451 (2023)
DOI: 10.1007/s10013-021-00541-4
See this article

Operator theoretic approach in fractional‐order delay optimal control problems

Madasamy Vellappandi and Venkatesan Govindaraj
Mathematical Methods in the Applied Sciences 46 (6) 6529 (2023)
DOI: 10.1002/mma.8922
See this article

Optimal control of a fractional smoking system

Chongyang Liu, Wenjuan Sun and Xiaopeng Yi
Journal of Industrial and Management Optimization 19 (4) 2936 (2023)
DOI: 10.3934/jimo.2022071
See this article

On Cauchy Problems of Caputo Fractional Differential Inclusion with an Application to Fractional Non-Smooth Systems

Jimin Yu, Zeming Zhao and Yabin Shao
Mathematics 11 (3) 653 (2023)
DOI: 10.3390/math11030653
See this article

Optimal control study on Michaelis–Menten kinetics — A fractional version

Kokila J., Vellappandi M., Meghana D. and Govindaraj V.
Mathematics and Computers in Simulation 210 571 (2023)
DOI: 10.1016/j.matcom.2023.03.033
See this article

Numerical Fractional Optimal Control of Respiratory Syncytial Virus Infection in Octave/MATLAB

Silvério Rosa and Delfim F. M. Torres
Mathematics 11 (6) 1511 (2023)
DOI: 10.3390/math11061511
See this article

A Pontryagin maximum principle for terminal state-constrained optimal control problems of Volterra integral equations with singular kernels

Jun Moon
AIMS Mathematics 8 (10) 22924 (2023)
DOI: 10.3934/math.20231166
See this article

Robust optimal control of nonlinear fractional systems

Chongyang Liu, Tuo Zhou, Zhaohua Gong, Xiaopeng Yi, Kok Lay Teo and Song Wang
Chaos, Solitons & Fractals 175 113964 (2023)
DOI: 10.1016/j.chaos.2023.113964
See this article

Novel closed-loop controllers for fractional linear quadratic time-varying systems

Numerical Algebra, Control and Optimization (2022)
DOI: 10.3934/naco.2022032
See this article

On differentiability of solutions of fractional differential equations with respect to initial data

Mikhail I. Gomoyunov
Fractional Calculus and Applied Analysis 25 (4) 1484 (2022)
DOI: 10.1007/s13540-022-00072-w
See this article

Herglotz Variational Problems Involving Distributed-Order Fractional Derivatives with Arbitrary Smooth Kernels

Fátima Cruz, Ricardo Almeida and Natália Martins
Fractal and Fractional 6 (12) 731 (2022)
DOI: 10.3390/fractalfract6120731
See this article

Optimal Control of Nonlinear Fractional-Order Systems with Multiple Time-Varying Delays

Chongyang Liu, Zhaohua Gong, Kok Lay Teo and Song Wang
Journal of Optimization Theory and Applications 193 (1-3) 856 (2022)
DOI: 10.1007/s10957-021-01935-7
See this article

The application of a universal separating vector lemma to optimal sampled-data control problems with nonsmooth Mayer cost function

Samir Adly, Loïc Bourdin and Gaurav Dhar
Mathematical Control and Related Fields (2022)
DOI: 10.3934/mcrf.2022039
See this article

Algorithm for Solving the Problem of Optimal Control of a Chemical-Technological Process with Terminal Constraints

Evgeniya V. Antipina, Svetlana A. Mustafina, Andrey F. Antipin and Nikolay D. Morozkin
Engineering Technologies and Systems 32 (3) 410 (2022)
DOI: 10.15507/2658-4123.032.202203.410-422
See this article

Pontryagin Maximum Principle for Distributed-Order Fractional Systems

Faïçal Ndaïrou and Delfim F. M. Torres
Mathematics 9 (16) 1883 (2021)
DOI: 10.3390/math9161883
See this article

Variational Problems with Time Delay and Higher-Order Distributed-Order Fractional Derivatives with Arbitrary Kernels

Fátima Cruz, Ricardo Almeida and Natália Martins
Mathematics 9 (14) 1665 (2021)
DOI: 10.3390/math9141665
See this article

Fractional-Order Modelling and Optimal Control of Cholera Transmission

Silvério Rosa and Delfim F. M. Torres
Fractal and Fractional 5 (4) 261 (2021)
DOI: 10.3390/fractalfract5040261
See this article

Legendre wavelet collocation method for fractional optimal control problems with fractional Bolza cost

Nitin Kumar and Mani Mehra
Numerical Methods for Partial Differential Equations 37 (2) 1693 (2021)
DOI: 10.1002/num.22604
See this article

Legendre’s Necessary Condition for Fractional Bolza Functionals with Mixed Initial/Final Constraints

Loïc Bourdin and Rui A. C. Ferreira
Journal of Optimization Theory and Applications 190 (2) 672 (2021)
DOI: 10.1007/s10957-021-01908-w
See this article

Dynamic Programming Principle and Hamilton--Jacobi--Bellman Equations for Fractional-Order Systems

Mikhail I. Gomoyunov
SIAM Journal on Control and Optimization 58 (6) 3185 (2020)
DOI: 10.1137/19M1279368
See this article

Continuity/constancy of the Hamiltonian function in a Pontryagin maximum principle for optimal sampled-data control problems with free sampling times

Loïc Bourdin and Gaurav Dhar
Mathematics of Control, Signals, and Systems 31 (4) 503 (2019)
DOI: 10.1007/s00498-019-00247-6
See this article