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Controllability and Stability of Hilfer Fractional Evolution Equations
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  • Pallavi Bedi,
  • Anoop Kumar,
  • Thabet Abdeljawad,
  • AZIZ KHAN
Pallavi Bedi
Central University of Punjab
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Anoop Kumar
Central University of Punjab
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Thabet Abdeljawad
Prince Sultan University
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AZIZ KHAN
Prince Sultan University
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Abstract

In this article, we discuss the controllability and stability of Hilfer fractional evolution equations in Banach space. We derive these results by first proving the existence and uniqueness of mild solutions for proposed system of equations. Existence and uniqueness results are obtained with the help of theory of propagation family, techniques of measure of non-compactness and fixed point theorem. An example is also given for the demonstration of obtained results.