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

Open Access

Original research article

Author(s):

Yfrah Hafssa^a, Zoubir Dahmani^b

^aLaboratory of Pure and Applied Mathematics, University Abdelhamid Bni Badis of Mostaganem, Mostaganem, Algeria.
^bLaboratory of LFAM, University of Mostaganem, Mostaganem, Algeria.

Advances in the Theory of Nonlinear Analysis and its Applications 5 (3), 277-286.

Received: March 3, 2021

Accepted: April 20, 2021

Published: April 22, 2021

Abstract

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

Keywords: Airy equation; Mean square calculus; Sequential random differential equation; Stochastic process solution.

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APA Style

Dahmani, Z., & Hafssa, Y. A Sequential Random Airy Type Problem of Fractional Order: Existence, Uniqueness and ß-Differential Dependance. Advances in the Theory of Nonlinear Analysis and its Application , 5 (3), 277-286.