Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1709644 | Applied Mathematics Letters | 2010 | 4 Pages |
Abstract
We establish the existence and uniqueness of solution for the boundary value problem 0Dtα(x′)+a(t)xλ=0, t>0t>0, x′(0)=0x′(0)=0, limt→+∞x(t)=1limt→+∞x(t)=1, where 0Dtα designates the Riemann–Liouville derivative of order α∈(0,1)α∈(0,1) and λ>1λ>1. Our result might be useful for establishing a non-integer variant of the Atkinson classical theorem on the oscillation of Emden–Fowler equations.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Dumitru Băleanu, Octavian G. Mustafa, Ravi P. Agarwal,