This article focuses on the switched coupled fractional differential system with \(\psi \) -Hilfer fractional derivative and multipoint integral boundary conditions. The investigation is carried out in a special working space, given that the system relies on lower-order fractional derivatives of unknown functions. By employing the Banach contraction principle and the Leray-Schauder non-linear alternative, a qualitative analysis of the solution is performed. Finally, an illustration is given, and the results are represented graphically.

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An Outlook on Switched Coupled Fractional Differential System of  \(\psi \) -Hilfer Type with Multipoint Integral Boundary Conditions

  • M. Latha Maheswari,
  • K. S. Keerthana Shri,
  • Mohammad Sajid

摘要

This article focuses on the switched coupled fractional differential system with \(\psi \) -Hilfer fractional derivative and multipoint integral boundary conditions. The investigation is carried out in a special working space, given that the system relies on lower-order fractional derivatives of unknown functions. By employing the Banach contraction principle and the Leray-Schauder non-linear alternative, a qualitative analysis of the solution is performed. Finally, an illustration is given, and the results are represented graphically.