Existence, controllability and Hyers–Ulam stability of a hybrid neutral switched system with impulsive effects

Best Decision-Making on the Stability of the Smoke Epidemic Model via Z-Numbers and Aggregate Special Maps

“…In [16], the authors applied the Krasnoselskii-type fixed point theorem to study the existence, uniqueness, and UHR stability of (11) in Banach spaces. We study the existence, uniqueness, and UHR stability of the governing model using the Cadariu-Radu method derived from an alternative fixed point theorem.…”

“…we consider the Atangana-Baleanu-Caputo fractional smoke epidemic model (11) and the inequalities below:…”

“…The recent interest in the Mittag-Leffler (ML) function and its various generalizations [8] is mainly due to their close relations to Fractional Calculus and especially to fractional problems that come from applications. The special functions, along with the ML function, including the functions of Wright type, the functions of hypergeometric type and others [9] which often appear in solutions of various types of equations with fractional operators, play a prominent role in the theory of the PDEs of fractional order that are applied in modeling of diverse phenomena [10][11][12].…”