Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
468425 | Computers & Mathematics with Applications | 2012 | 12 Pages |
Abstract
In this paper, the existence of positive solutions for the nonlinear Caputo fractional functional differential equation in the form {D0+qy(t)+r(t)f(yt)=0,∀t∈(0,1),q∈(n−1,n],y(i)(0)=0,0≤i≤n−3,αy(n−2)(t)−βy(n−1)(t)=η(t),t∈[−τ,0],γy(n−2)(t)+δy(n−1)(t)=ξ(t),t∈[1,1+a] is studied. By constructing a special cone and using Krasnosel’skii’s fixed point theorem, various results on the existence of at least one or two positive solutions to the fractional functional differential equation are established. The main results improve and generalize the existing results.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Yulin Zhao, Haibo Chen, Li Huang,