On Multi-Order Fractional Di Erential Operators in the Unit Disk

Rabha W. Ibrahim, Cenap Ozel

In this article, we generalize fractional operators (differential and integral) in the unit disk. These operators are generalized the Srivastava--Owa operators. Geometric properties are studied and the advantages of these operators are discussed. As an application, we impose a method, involving a memory formalism of the Beer--Lambert equation based on a new generalized fractional differential operator. We give solutions in terms of the multi-index Mittag--Leffler function. In addition, we sanctify the out come from a stochastic standpoint. We utilize the generalized Wright function to obtain the analytic formula of solutions.