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Some existence results for a differential equation and an inclusion of fractional order via (convex) F-contraction mapping

  • Vahid Roomi,
  • Hojjat Afshari,
  • Sabileh Kalantari

摘要

The existence of solutions for a class of μ-Caputo fractional differential equations and an inclusion problem equipped with nonlocal μ-integral boundary conditions are investigated. We use F-contraction, convex F-contraction, and some consequences to achieve the desired goals. Finally, some examples are provided to illustrate the results.