Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841728 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 14 Pages |
Abstract
The system D2y(t)+z(t)=f(t,y),∫02ϕ1(γ)Dγy(t)dγ=∫02ϕ2(γ)Dγz(t)dγ,t>0, where Dγ,γ∈[0,2]Dγ,γ∈[0,2] are operators of fractional differentiation, is investigated and the existence of a mild and classical solution is proven. Also, a necessary and sufficient condition for the existence and uniqueness of a solution to a general linear fractional differential equation ∑i=1kaiDγiz=g, γi∈R,i=1,…,k in S+′ is given.
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Authors
Teodor M. Atanackovic, Ljubica Oparnica, Stevan Pilipović,