Existence and stability of Almost Periodic Solutions For Fractional Impulsive bilinear Control system | ||
| Journal of College of Education | ||
| Article 1, Volume 0, Issue 5, November 2017, Pages 127-152 | ||
| Authors | ||
| Fatima Salman Hussien; Sameer Qasim Hasan | ||
| Abstract | ||
| This paper introduces the concept of compact and perturbed semigroups applications to the analysis of the almost periodic solution for problem has bilinear control input function and impulsive fractional nonlinear system. These systems are one of the main interest and themes of this paper. The solvability of such system and the study of uniqueness of its, solvability up to our knowledge and research are still a challenge for many researchers. So, the main aim of the following work is to define such almost periodic mild solution as well as the solvability using the concept of compact perturbed semigroup generated by some unbounded varying time perturbed linear generators. Some necessary conditions are defined that which needed to understand the present approach. | ||
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