Optimal Control Problem for a Degenerate Fractional Differential Equation

被引：7
|
作者：
Bandaliyev, R. A. [1 ,2 ]
Mamedov, I. G. [3 ]
Abdullayeva, A. B. [1 ]
Safarova, K. H. [1 ]
机构：
[1] Azerbaijan Natl Acad Sci, Inst Math & Mech, Baku, Azerbaijan
[2] RUDN Univ, SM Nikolskii Inst Math, Moscow 117198, Russia
[3] Azerbaijan Natl Acad Sci, Inst Control Syst, Baku, Azerbaijan
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2021年 / 42卷 / 06期
关键词：
degenerate fractional optimal control problem; initial value problem; Caputo fractional derivative; Lebesgue spaces; Pontryagin's maximum principle; EXISTENCE;
D O I：
10.1134/S1995080221060056
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, on the base of Pontryagin maximum principle, the optimal control problem with concentrated parameters for a degenerate differential equation with the Caputo operator and with coefficients from the Lebesgue space is studied. The efficiency indicator of the considered optimal control problem has an integral form of fractional order. A new version of the method of increments is applied and the concept of a conjugate equation with an integral form is essentially used.
引用
收藏
页码：1239 / 1247
页数：9
相关论文
共 50 条
  • [41] Cauchy Problem for a Stochastic Fractional Differential Equation with Caputo-Ito Derivative
    Sanchez-Ortiz, Jorge
    Lopez-Cresencio, Omar U.
    Ariza-Hernandez, Francisco J.
    Arciga-Alejandre, Martin P.
    MATHEMATICS, 2021, 9 (13)
  • [42] Positive solutions for multipoint boundary value problem of fractional differential equation with parameter
    Liu, Zhi
    Wang, Weibing
    CARPATHIAN JOURNAL OF MATHEMATICS, 2025, 41 (02) : 441 - 453
  • [43] Inverse Problem for a Fourth-Order Differential Equation with the Fractional Caputo Operator
    Durdiev, U. D.
    Rahmonov, A. A.
    RUSSIAN MATHEMATICS, 2024, 68 (09) : 18 - 28
  • [44] Positive Solution of Singular Boundary Value Problem for a Nonlinear Fractional Differential Equation
    Wang, Changyou
    Wang, Ruifang
    Wang, Shu
    Yang, Chunde
    BOUNDARY VALUE PROBLEMS, 2011,
  • [45] Positive solutions to singular boundary value problem for nonlinear fractional differential equation
    Zhang, Shuqin
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (03) : 1300 - 1309
  • [46] QUASILINEAR ITERATIVE METHOD FOR THE BOUNDARY VALUE PROBLEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION
    Sun, Yu-Feng
    Zeng, Zheng
    Song, Jie
    NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2020, 10 (02): : 157 - 164
  • [47] Nonexistence of global solutions for a fractional differential problem
    Kassim, M. D.
    Furati, K. M.
    Tatar, N. -E.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 314 : 61 - 68
  • [48] OPTIMAL CONTROL OF THE QUASI-LINEAR NEUTRAL DIFFERENTIAL EQUATION
    Gorgodze, Nika
    PROCEEDINGS OF THE 6TH INTERNATIONAL CONFERENCE ON CONTROL AND OPTIMIZATION WITH INDUSTRIAL APPLICATIONS, VOL I, 2018, : 173 - 175
  • [49] On the viscosity solutions to a degenerate parabolic differential equation
    Bhattacharya, Tilak
    Marazzi, Leonardo
    ANNALI DI MATEMATICA PURA ED APPLICATA, 2015, 194 (05) : 1423 - 1454
  • [50] Optimal control problem for the extended Fisher-Kolmogorov equation
    Duan, Ning
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2016, 126 (01): : 109 - 123
12345