Browsing by Author "Alkhazzan, Abdulwasea"

Now showing 1 - 3 of 3

Inequalities for N-Class of Functions Using the Saigo Fractional Integral Operator
(Springer-verlag Italia Srl, 2019) Khan, Hasib; Tunc, Cemil; Baleanu, Dumitru; Khan, Aziz; Alkhazzan, Abdulwasea
The role of fractional integral operators can be found as one of the best ways to generalize the classical inequalities. In this paper, we use the Saigo fractional integral operator to produce some inequalities for a class of n-decreasing positive functions. The results are more general than the available classical results in the literature.
Minkowski's Inequality for the Ab-Fractional Integral Operator
(Springer, 2019) Khan, Hasib; Abdeljawad, Thabet; Tunc, Cemil; Alkhazzan, Abdulwasea; Khan, Aziz
Recently, AB-fractional calculus has been introduced by Atangana and Baleanu and attracted a large number of scientists in different scientific fields for the exploration of diverse topics. An interesting aspect is the generalization of classical inequalities via AB-fractional integral operators. In this paper, we aim to generalize Minkowski inequality using the AB-fractional integral operator.
On Existence and Continuity Results of Solution for Multi-Time Scale Fractional Stochastic Differential Equation
(Springer Basel Ag, 2023) Alkhazzan, Abdulwasea; Wang Jungang; Tunc, Cemil; Ding Xiaoli; Yuan Zhanbin; Nie Yufeng
In this paper, we study four critical aspects of a new class of multi-time scale nonlinear fractional stochastic differential equations with fractional integral in the sense of Riemann Liouville. A primary goal of this paper is to investigate the existence, uniqueness, Ulam-Hyers stability, and continuity of the solutions under sufficient assumptions using the Banach contraction theorem. At the end of the paper, a specific example is provided to demonstrate the efficiency and effectiveness of the new results of this paper.