• Results on Hilfer fractional switched dynamical system with non-instantaneous impulses

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    • Keywords


      Existence; stability; controllability; fractional impulsive differential equations.

    • Abstract


      This paper concerns with the existence, uniqueness, Ulam’s Hyer (UH) stability and total controllability results for the Hilfer fractional switched impulsive systems in finite-dimensional spaces. Mainly, this paper can be divided into three parts. In the first part, we examine the existence of a unique solution. In the second part, we establish the UH stability results, and in the third part, we study the total controllability results. The main outcomes are acquired by utilising the nonlinear analysis, fractional calculus,Mittag–Leffler function and Banach contraction principle. Finally, we have given two examples to validate the obtained analytical results.

    • Author Affiliations



      1. Max-Planck Institute for Dynamics of Complex Technical Systems, 39106 Magdeburg, Germany
      2. School of Basic Sciences, Indian Institute of Technology Mandi, Kamand 175 005, India
      3. Department of Mathematics, Faculty of Art and Sciences, Cankaya University, Ankara, Turkey
      4. Institute of Space Sciences, Bucharest, Romania
      5. Lebanese American University, Beirut 11022801, Lebanon
    • Dates

  • Pramana – Journal of Physics | News

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