Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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A NOTE ON THE NONLOCAL CONTROLLABILITY OF HILFER FRACTIONAL DIFFERENTIAL EQUATIONS VIA MEASURE OF NONCOMPACTNESS

  • C.S.V. BOSE (Department of Mathematics, Vellore Institute of Technology) ;
  • V. SESUM-CAVIC (Department of Civil Engineering, University of Belgrade) ;
  • R. UDHAYAKUMAR (Department of Mathematics, Vellore Institute of Technology) ;
  • B.A. NISHA (Department of Mathematics, St.Joseph's Institute Of Technology) ;
  • S. AL-OMARI (Department of Mathematics, Faculty of Science, Al-Balqa Applied University) ;
  • M.H. KISHOR (School of Computer Science and Engineering, Vellore Institute of Technology)
  • Received : 2023.09.23
  • Accepted : 2024.01.05
  • Published : 2024.03.30
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Abstract

We looked at nonlocal controllability for Hilfer fractional differential equations with almost sectorial operator in this manuscript. We show certain necessary criteria for nonlocal controllability using the measure of noncompactness and the Mönch fixed point theorem. Finally, we provided theoretical and practical applications are given to demonstrate how the abstract results might be applied.

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References

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