Liouville theorem for the fractional Lane–Emden equation in an unbounded domain
نویسندگان
چکیده
منابع مشابه
An exponential spline for solving the fractional riccati differential equation
In this Article, proposes an approximation for the solution of the Riccati equation based on the use of exponential spline functions. Then the exponential spline equations are obtained and the differential equation of the fractional Riccati is discretized. The effect of performing this mathematical operation is obtained from an algebraic system of equations. To illustrate the benefits of the me...
متن کاملFractional Ince equation with a Riemann-Liouville fractional derivative
We extend the classical treatment of the Ince equation to include the effect of a fractional derivative term of order a > 0 and amplitude c. A Fourier expansion is used to determine the eigenvalue curves að Þ in function of the parameter , the stability domains, and the periodic stable solutions of the fractional Ince equation. Two important observations are the detachment of the eigenvalue cur...
متن کاملAn Expansion Theorem for a Sturm–Liouville Operator on Semi-Unbounded Time Scales
In this study, we establish a Parseval equality and an expansion formula for a Sturm– Liouville operator on semi-unbounded time scales. AMS subject classification: 34L10.
متن کاملAnalytical solutions for the fractional Fisher's equation
In this paper, we consider the inhomogeneous time-fractional nonlinear Fisher equation with three known boundary conditions. We first apply a modified Homotopy perturbation method for translating the proposed problem to a set of linear problems. Then we use the separation variables method to solve obtained problems. In examples, we illustrate that by right choice of source term in the modified...
متن کاملLinear fractional relations in Banach spaces: interior points in the domain and analogues of the Liouville theorem
In this paper we study linear fractional relations defined in the following way. Let Bi, B′ i, i = 1, 2, be Banach spaces. We denote the space of bounded linear operators by L. Let T ∈ L(B1 ⊕ B2,B 1 ⊕ B′ 2). To each such operator there corresponds a 2 × 2 operator matrix of the form T = ( T11 T12 T21 T22 ) , (∗) where Tij ∈ L(Bj,B i), i, j = 1, 2. For each such T we define a set-valued map GT f...
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: Journal de Mathématiques Pures et Appliquées
سال: 2018
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2017.07.010