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Ulam–Hyers–Mittag-Leffler stability for tripled system of weighted fractional operator with TIME delay
Advances in Difference Equations ( IF 4.1 ) Pub Date : 2021-06-16 , DOI: 10.1186/s13662-021-03455-0 Mohammed A. Almalahi , Satish K. Panchal , Fahd Jarad , Thabet Abdeljawad
中文翻译:
Ulam-Hyers-Mittag-Leffler 具有时间延迟的加权分数算子三元系统的稳定性
更新日期:2021-06-16
Advances in Difference Equations ( IF 4.1 ) Pub Date : 2021-06-16 , DOI: 10.1186/s13662-021-03455-0 Mohammed A. Almalahi , Satish K. Panchal , Fahd Jarad , Thabet Abdeljawad
This study is aimed to investigate the sufficient conditions of the existence of unique solutions and the Ulam–Hyers–Mittag-Leffler (UHML) stability for a tripled system of weighted generalized Caputo fractional derivatives investigated by Jarad et al. (Fractals 28:2040011 2020) in the frame of Chebyshev and Bielecki norms with time delay. The acquired results are obtained by using Banach fixed point theorems and the Picard operator (PO) method. Finally, a pertinent example of the results obtained is demonstrated.
中文翻译:
Ulam-Hyers-Mittag-Leffler 具有时间延迟的加权分数算子三元系统的稳定性
本研究旨在研究 Jarad 等人研究的加权广义 Caputo 分数阶导数的三重系统存在唯一解的充分条件和 Ulam-Hyers-Mittag-Leffler (UHML) 稳定性。(Fractals 28:2040011 2020) 在 Chebyshev 和 Bielecki 范数的框架中具有时滞。获得的结果是通过使用 Banach 不动点定理和 Picard 算子 (PO) 方法获得的。最后,展示了所获得结果的相关示例。