A generalized sequential problem of Lane-Emden type via fractional calculus
نویسندگان
چکیده
منابع مشابه
On the Fractional Lane-emden Equation
We classify solutions of finite Morse index of the fractional LaneEmden equation (−∆)su = |u|p−1u in R.
متن کاملOn Lane-emden Type Systems
We consider a class of singular systems of Lane-Emden type ∆u + λu p 1 v q 1 = 0, x ∈ D, a smooth domain in R n. In case the system is sublinear we prove existence of a positive solution. If D is a ball in R n , we prove both existence and uniqueness of positive radially symmetric solution.
متن کاملGroup Classification of a Generalized Lane-Emden System
where n is a real constant andf(y) is a real-valued function of the variabley, hasmany applications inmathematical physics and astrophysics. Equation (1), for certain fixed values of n and f(y), models several phenomena such as the theory of stellar structure, the thermal behavior of a spherical cloud of gas, isothermal gaseous sphere, and the theory of thermionic currents [1–3]. Several method...
متن کاملOn Stable Solutions of the Fractional Henon-lane-emden Equation
We derive a monotonicity formula for solutions of the fractional Hénon-Lane-Emden equation (−∆)u = |x|a|u|p−1u R where 0 < s < 2, a > 0 and p > 1. Then we apply this formula to classify stable solutions of the above equation.
متن کاملNumerical Study of Fractional Differential Equations of Lane-Emden Type by Method of Collocation
Lane-Emden differential equations of order fractional has been studied. Numerical solution of this type is considered by collocation method. Some of examples are illustrated. The comparison between numerical and analytic methods has been introduced.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Moroccan Journal of Pure and Applied Analysis
سال: 2020
ISSN: 2351-8227
DOI: 10.2478/mjpaa-2020-0013