Approximate controllability of fractional integro-differential equations involving nonlocal initial conditions

被引：0
作者：
NI Mahmudov
S Zorlu
机构：
[1] Eastern Mediterranean University,
来源：
Boundary Value Problems | / 2013卷
关键词：
Fractional Calculus; Mild Solution; Fractional Differential Equation; Approximate Controllability; Caputo Fractional Derivative;
D O I：
暂无
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学科分类号：
摘要：
We discuss the approximate controllability of nonlinear fractional integro-differential system under the assumptions that the corresponding linear system is approximately controllable. Using the fixed-point technique, fractional calculus and methods of controllability theory, a new set of sufficient conditions for approximate controllability of fractional integro-differential equations are formulated and proved. The results in this paper are generalization and continuation of the recent results on this issue. An example is provided to show the application of our result.
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[1]  
Debbouche A(2011)Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems Comput. Math. Appl 62 1442-1450
[2]  
Baleanu D(2008)Existence results for differential equations with fractional order and impulses Mem. Differ. Equ. Math. Phys 44 1-21
[3]  
Agarwal RP(2009)Existence and controllability results for nondensely defined impulsive semilinear functional differential inclusions J. Differ. Equ 246 3834-3863
[4]  
Benchohra M(2009)Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions Comput. Math. Appl 58 1838-1843
[5]  
Slimani BA(1999)On concepts of controllability for deterministic and stochastic systems SIAM J. Control Optim 37 1808-1821
[6]  
Abada N(2002)Approximate controllability of semilinear functional equations in Hilbert spaces J. Math. Anal. Appl 273 310-327
[7]  
Benchohra M(2000)On controllability of linear stochastic systems Int. J. Control 73 144-151
[8]  
Hammouche H(2003)Approximate controllability of semilinear deterministic and stochastic evolution equations in abstract spaces SIAM J. Control Optim 42 1604-1622
[9]  
Ahmad B(2008)Approximate controllability of evolution systems with nonlocal conditions Nonlinear Anal 68 536-546
[10]  
Nieto JJ(2001)Controllability of linear stochastic systems in Hilbert spaces J. Math. Anal. Appl 259 64-82
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