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- Title
Uniqueness and Asymptotic Behavior of Positive Solutions for a Fractional-Order Integral Boundary Value Problem.
- Authors
Min Jia; Xin Liu; Xuemai Gu
- Abstract
We study a model arising from porous media, electromagnetic, and signal processing of wireless communication system -...where n - 1 < α ≤ n, n ∈ N and n ≥ 2, Dta is the standard Riemann-Liouville derivative, f01x(s)dA(s) is linear functionals given by Riemann- Stieltjes integrals, A is a function of bounded variation, and dA can be a changing-sign measure. The existence, uniqueness, and asymptotic behavior of positive solutions to the singular nonlocal integral boundary value problem for fractional differential equation are obtained. Our analysis relies on Schauder's fixed-point theorem and upper and lower solution method.
- Subjects
UNIQUENESS (Mathematics); ASYMPTOTIC expansions; BOUNDARY value problems; FRACTIONS; MATHEMATICAL models; INTEGRALS; POROUS materials; ELECTROMAGNETISM
- Publication
Abstract & Applied Analysis, 2012, p1
- ISSN
1085-3375
- Publication type
Article
- DOI
10.1155/2012/294694