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

Tablennehas, KamelDahmani, ZoubirBelhamiti, Meriem MansouriaAbdelnebi, AmiraSarikaya, Mehmet Zeki2021-12-012021-12-0120211687-1847https://doi.org/10.1186/s13662-021-03483-whttps://hdl.handle.net/20.500.12684/10464In 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.en10.1186/s13662-021-03483-winfo:eu-repo/semantics/openAccessLane-Emden equationCaputo derivativeRandom differential equationUlam stabilityFourth Runge-Kutta methodPositive SolutionsExistenceEquationsOn a fractional problem of Lane-Emden type: Ulam type stabilities and numerical behaviorsArticle202112-s2.0-85109735068WOS:000671559600001N/AQ1