Al al- Bayt University, Department of Mathematics, Faculty of Sciences, Mafraq, Jordan.
Umm Al-Qura University, Department of Mathematics, Faculty of Applied Sciences, Makkah, Saudi Arabia.
PLoS One. 2023 Mar 16;18(3):e0282665. doi: 10.1371/journal.pone.0282665. eCollection 2023.
In this paper, we establish the existence and uniqueness of the solution to fractional equations abstract integrodifferential equation with impulsive as [Formula: see text] where [Formula: see text] and we used the fixed point theorems due to Banach space. The main conclusion is obtained by using fractional calculus, operator semigroup and fixed point theorem. Finally, in support, an example is presented to validate the obtained results.
在本文中，我们建立了带有脉冲的分数阶抽象积分微分方程解的存在唯一性，其中[Formula: see text]，我们使用了巴拿赫空间的不动点定理。主要结论是通过分数阶微积分、算子半群和不动点定理得到的。最后，在支持部分，给出了一个例子来验证得到的结果。
