Stability analysis and dynamics of impulsive differential equations under Hilfer fractional derivative

  • S Harikrishnan
  • K Kanagarajan
  • Seenith Sivasundaram


In this paper, we establish sufficient conditions for the existence and stability of solutions for impulsive differential equations with Hilfer fractional derivative. The results are established by the application of the contraction mapping principle and Schaefer's fixed point theorem. An example is provided to illustrate the applicability of the results.