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Study of a class of fractional-order evolution hybrid differential equations using a modified Mittag-Leffler-type derivative

  • Kamal Shah,
  • Thabet Abdeljawad,
  • Bahaaeldin Abdalla,
  • Manel Hleili

摘要

This work is devoted to using topological degree theory to establish a mathematical analysis for a class of fractional-order evolution hybrid differential equations using a modified Mittag–Leffler-type derivative. In addition, two kinds of Ulam–Hyers (U–H) stability results are deduced for the mentioned problem. A pertinent example is given to verify the results.