Makhlouf Abdellatif Ben, El-Hady El-Sayed, Arfaoui Hassen, Boulaaras Salah, Mchiri Lassaad
Mathematics Department, College of Science, Jouf University, P.O. Box: 2014, Sakaka, Saudi Arabia.
Department of Mathematics, College of Sciences and Arts, ArRass, Qassim University, Buraydah, Saudi Arabia.
Bound Value Probl. 2023;2023(1):8. doi: 10.1186/s13661-023-01695-5. Epub 2023 Jan 26.
In this paper, we investigate the existence and uniqueness of fractional differential equations (FDEs) by using the fixed-point theory (FPT). We discuss also the Ulam-Hyers-Rassias (UHR) stability of some generalized FDEs according to some classical mathematical techniques and the FPT. Finally, two illustrative examples are presented to show the validity of our results.
在本文中，我们运用不动点理论（FPT）研究分数阶微分方程（FDEs）的存在性与唯一性。我们还根据一些经典数学技巧和不动点理论讨论了某些广义分数阶微分方程的乌拉姆 - 海尔斯 - 拉西亚斯（UHR）稳定性。最后，给出两个示例以说明我们结果的有效性。
