On a fractional problem of Lane–Emden type: Ulam type stabilities and numerical behaviors

Advances in Difference Equations

article

Tablennehas, Kamel¹  Dahmani, Zoubir¹  Belhamiti, Meriem Mansouria¹  Abdelnebi, Amira¹  Sarikaya, Mehmet Zeki² 

[1] Laboratory of Pure and Applied Mathematics, Faculty of Exact Sciences and Informatics, University of Mostaganem;Department of Mathematics, Faculty of Science and Arts, Düzce University

关键词: Lane–Emden equation;    Caputo derivative;    Random differential equation;    Ulam stability;    Fourth Runge–Kutta method;   

DOI  :  10.1186/s13662-021-03483-w

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY