A Sequential Random Airy Type Problem of Fractional Order: Existence, Uniqueness and ß-Differential Dependance

Abstract

In this work, a new class of sequential random differential equations of Airy type is introduced. An existence and uniqueness criteria for stochastic process solutions for the introduced class is discussed. Some notions on β−differential dependance are also introduced. Then, new results on the β−dependance are discussed. At the end, some illustrative examples are discussed.