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Sufficient criteria for the existence of solution to nonlinear fractal-fractional order coupled system with coupled integral boundary conditions

  • Kamal Shah,
  • Muhammad Sarwar,
  • Thabet Abdeljawad,
  • Shafiullah

摘要

A coupled system of fractal-fractional differential equations with coupled integral boundary conditions is considered. We implement Krasnoselskii’s type fixed point theorem to establish the criteria for existence of at least one solution to the considered coupled system. Also, results regarding stability of Ulam–Hyers type are derived. We give an example to justify our results.