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

Abstract

Abstract 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.

Keywords

• Topological Degree theory
• Hyers–Ulam stability
• Lipchitz criteria
• Completely continuous