Controllability Results for Non Densely Defined Impulsive Fractional Differential Equations in Abstract Space

被引：0
作者：
Ashish Kumar
Dwijendra N. Pandey
机构：
[1] Indian Institute of Technology Roorkee,Department of Mathematics
来源：
Differential Equations and Dynamical Systems | 2021年 / 29卷
关键词：
Fractional differential equation; Controllability; Impulsive conditions; Non dense domain; 34K05; 93B05; 34K30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study controllability results for non-densely defined impulsive fractional differential equation by applying the concepts of semigroup theory, fractional calculus, and Banach Fixed Point Theorem. An example is also discussed to illustrate the obtained results.
引用
收藏
页码：227 / 237
页数：10
相关论文
共 61 条
  • [1] Adimy M(2004)Non-linear semigroup of a class of abstract semilinear functional differential equations with a non-dense domain Acta Mathematica Sinica 20 933-942
  • [2] Laklach M(2013)Controllability of nonlinear higher order fractional dynamical systems Nonlinear Dyn. 71 605-612
  • [3] Ezzinbi K(2010)Approximate controllability of neutral stochastic functional differential systems with infinite delay Stoch. Anal. Appl. 28 389-400
  • [4] Balachandran K(2018)Approximate controllability of impulsive stochastic fractional differential equations with nonlocal conditions Dyn. Syst. Appl. 27 1-29
  • [5] Govindaraj V(1987)Differential operators with non dense domain Annali della Scuola Normale Superiore di Pisa-Classe di Scienze 14 285-344
  • [6] Rodriguez-Germa L(2004)Controllability of some nonlinear systems in hilbert spaces J. Optim. Theory Appl. 123 319-329
  • [7] Trujillo J(2014)Response to comments on the concept of existence of solution for impulsive fractional differential equations Commun. Nonlinear Sci. Numer. Simul. 19 401-3
  • [8] Balasubramaniam P(2006)Controllability of non-densely defined functional differential systems in abstract space Appl. Math. Lett. 19 369-377
  • [9] Park J(2010)Controllability of non-densely defined impulsive neutral functional differential systems with infinite delay in banach spaces Nonlinear Anal.: Hybrid Syst. 4 441-450
  • [10] Muthukumar P(1989)Integrated semigroups J. Funct. Anal. 84 160-180
1234567