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Your search keyword '"Al-Quran, Ashraf"' showing total 1 results
Start Over Author "Al-Quran, Ashraf" Topic existence and uniqueness Topic fractional differential equations Publication Year Range This year
1 results on '"Al-Quran, Ashraf"'

1. Existence, Uniqueness, and Averaging Principle of Fractional Neutral Stochastic Differential Equations in the L p Space with the Framework of the Ψ-Caputo Derivative.

Author

Mohammed Djaouti, Abdelhamid, Khan, Zareen A., Liaqat, Muhammad Imran, and Al-Quran, Ashraf

Subjects
STOCHASTIC differential equations, FRACTIONAL differential equations, FUNCTIONAL differential equations, CONCEPT mapping
Abstract

In this research work, we use the concepts of contraction mapping to establish the existence and uniqueness results and also study the averaging principle in L p space by using Jensen's, Grönwall–Bellman's, Hölder's, and Burkholder–Davis–Gundy's inequalities, and the interval translation technique for a class of fractional neutral stochastic differential equations. We establish the results within the framework of the Ψ -Caputo derivative. We generalize the two situations of p = 2 and the Caputo derivative with the findings that we obtain. To help with the understanding of the theoretical results, we provide two applied examples at the end. [ABSTRACT FROM AUTHOR]

Published
2024
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