On the Approximate Controllability of Fractional Evolution Equations with Generalized Riemann-Liouville Fractional Derivative

被引：39
|
作者：
Mahmudov, N. I. [1 ]
McKibben, M. A. [2 ]
机构：
[1] Eastern Mediterranean Univ, TR-10 Northern Cyprus, Mersin, Turkey
[2] West Chester Univ Penn, Dept Math, W Chester, PA 19383 USA
来源：
JOURNAL OF FUNCTION SPACES | 2015年 / 2015卷
关键词：
NONLOCAL CONDITIONS; MILD SOLUTIONS; EXISTENCE; SYSTEMS;
D O I：
10.1155/2015/263823
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We discuss the approximate controllability of fractional evolution equations involving generalized Riemann-Liouville fractional derivative. The results are obtained with the help of the theory of fractional calculus, semigroup theory, and the Schauder fixed point theorem under the assumption that the corresponding linear system is approximately controllable. Finally, an example is provided to illustrate the abstract theory.
引用
收藏
页数：9
相关论文
共 50 条
  • [1] Approximate controllability for Riemann-Liouville fractional differential equations
    Sahijwani, Lavina
    Sukavanam, Nagarajan
    INTERNATIONAL JOURNAL OF OPTIMIZATION AND CONTROL-THEORIES & APPLICATIONS-IJOCTA, 2023, 13 (01): : 59 - 67
  • [2] Approximate controllability of impulsive fractional neutral evolution equations with Riemann-Liouville fractional derivatives
    Liu, Xianghu
    Liu, Zhenhai
    Bin, Maojun
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2014, 17 (03) : 468 - 485
  • [3] APPROXIMATE CONTROLLABILITY OF FRACTIONAL EVOLUTION SYSTEMS WITH RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVES
    Liu, Zhenhai
    Li, Xiuwen
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2015, 53 (04) : 1920 - 1933
  • [4] APPROXIMATE CONTROLLABILITY OF RIEMANN-LIOUVILLE FRACTIONAL EVOLUTION EQUATIONS WITH INTEGRAL CONTRACTOR ASSUMPTION
    Zhu, Shouguo
    Fan, Zhenbin
    Li, Gang
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2018, 8 (02): : 532 - 548
  • [5] APPROXIMATE CONTROLLABILITY OF RIEMANN-LIOUVILLE FRACTIONAL STOCHASTIC EVOLUTION SYSTEMS
    Yang, He
    Li, Yongxiang
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2023, 13 (05): : 2809 - 2826
  • [6] APPROXIMATE CONTROLLABILITY OF IMPULSIVE RIEMANN-LIOUVILLE FRACTIONAL EQUATIONS IN BANACH SPACES
    Liu, Zhenhai
    Bin, Maojun
    JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2014, 26 (04) : 527 - 551
  • [7] ON APPROXIMATE CONTROLLABILITY FOR SYSTEMS OF FRACTIONAL EVOLUTION HEMIVARIATIONAL INEQUALITIES WITH RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVES
    Ceng, L. C.
    Cho, S. Y.
    JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2022, 6 (04): : 421 - 438
  • [8] Degenerate Linear Evolution Equations with the Riemann-Liouville Fractional Derivative
    Fedorov, V. E.
    Plekhanova, M. V.
    Nazhimov, R. R.
    SIBERIAN MATHEMATICAL JOURNAL, 2018, 59 (01) : 136 - 146
  • [9] Boundary controllability of Riemann-Liouville fractional semilinear equations
    Tajani, Asmae
    El Alaoui, Fatima-Zahrae
    Torres, Delfim F. M.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, 131
  • [10] Enlarged Controllability of Riemann-Liouville Fractional Differential Equations
    Karite, Touria
    Boutoulout, Ali
    Torres, Delfim F. M.
    JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2018, 13 (09):
12345