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

[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.

[学科分类] 航空航天科学

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