CONTROLLABILITY OF FRACTIONAL INTEGRODIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY

被引：11
作者：
Aissani, Khalida [1 ]
Benchohra, Mouffak [1 ,2 ]
机构：
[1] Univ Djillali Liabes Sidi Bel Abbes, Math Lab, POB 89, Sidi Bel Abbes 22000, Algeria
[2] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia
来源：
JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2016年 / 28卷 / 02期
关键词：
Controllability; Caputo fractional derivative; integrodifferential eguations; fixed point; semigroup; state-dependent delay; FUNCTIONAL-DIFFERENTIAL EQUATIONS; BANACH-SPACES; SYSTEMS; INCLUSIONS; EXISTENCE;
D O I：
10.1216/JIE-2016-28-2-149
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
According to fractional calculas theroy and Sadovskii's fixed point theorem, we establish sufficient conditions for controllability of the fractional integro-differential equation with state-dependent delay. An example is provided to illustrate the theory.
引用
收藏
页码：149 / 167
页数：19
相关论文
共 42 条
  • [1] Existence and controllability results for nondensely defined impulsive semilinear functional differential inclusions
    Abada, Nadjet
    Benchohra, Mouffak
    Hammouche, Hadda
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 246 (10) : 3834 - 3863
  • [2] On fractional integro-differential equations with state-dependent delay
    Agarwal, Ravi P.
    de Andrade, Bruno
    Siracusa, Giovana
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) : 1143 - 1149
  • [3] On Type of Periodicity and Ergodicity to a Class of Fractional Order Differential Equations
    Agarwal, Ravi P.
    de Andrade, Bruno
    Cuevas, Claudio
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2010,
  • [4] [Anonymous], INT J NONLINEAR SCI
  • [5] [Anonymous], 2000, Econophysics: An Emerging Science
  • [6] [Anonymous], AFR DIASPORA J MATH
  • [7] [Anonymous], INT J EVOL EQU
  • [8] [Anonymous], COMMUN APPL NONLINEA
  • [9] [Anonymous], 2010, INT J MATH ANAL
  • [10] [Anonymous], 1980, LECT NOTES PURE APPL
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