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On a fractional problem of Lane–Emden type: Ulam type stabilities and numerical behaviors
Advances in Difference Equations ( IF 3.1 ) Pub Date : 2021-07-09 , DOI: 10.1186/s13662-021-03483-w Kamel Tablennehas 1 , Zoubir Dahmani 1 , Meriem Mansouria Belhamiti 1 , Amira Abdelnebi 1 , Mehmet Zeki Sarikaya 2
中文翻译:
关于 Lane-Emden 类型的分数问题:Ulam 类型稳定性和数值行为
更新日期:2021-07-09
Advances in Difference Equations ( IF 3.1 ) Pub Date : 2021-07-09 , DOI: 10.1186/s13662-021-03483-w Kamel Tablennehas 1 , Zoubir Dahmani 1 , Meriem Mansouria Belhamiti 1 , Amira Abdelnebi 1 , Mehmet Zeki Sarikaya 2
Affiliation
In this work, we study some types of Ulam stability for a nonlinear fractional differential equation of Lane–Emden type with anti periodic conditions. Then, by using a numerical approach for the Caputo derivative, we investigate behaviors of the considered problem.
中文翻译:
关于 Lane-Emden 类型的分数问题:Ulam 类型稳定性和数值行为
在这项工作中,我们研究了具有反周期条件的 Lane-Emden 型非线性分数阶微分方程的一些类型的 Ulam 稳定性。然后,通过对 Caputo 导数使用数值方法,我们研究了所考虑问题的行为。