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\begin{document}

\title{Non-instantaneous Impulsive Riemann-Liouville Fractional Differential
Systems: Existence and Controllability Analysis in Banach Spaces}



\author[1]{Lavina Sahijwani}%
\author[2]{Sukavanam Nagarajan}%
\author[3]{Abdul Haq}%
\affil[1]{IIT Roorkee}%
\affil[2]{Indian Institute of Technology Roorkee}%
\affil[3]{SRM Institute of Science and Technology}%


\vspace{-1em}



  
  \date{May 18, 2024}


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\begin{abstract}
The article is dedicated towards the study of fractional-order
non-linear differential systems with non-instantaneous impulses
involving Riemann-Liouville derivatives with fixed lower limit and
appropriate integral type initial conditions in Banach spaces. First,
mild solution of the system is constructed and subsequently, its
existence is proven using Banach's fixed point theorem. Then, results of
approximate controllability are established using the concept of
fractional semigroup and an iterative technique. Suitable examples are
given in the end supporting the methodology along with pointing out
corrections in examples presented in previous articles.%
\end{abstract}%



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