Uniqueness and asymptotic behavior of positive solutions for a fractional-order integral boundary value problem. (English) Zbl 1253.35201
Summary: We study a model arising from porous media, electromagnetic, and signal processing of wireless communication system , , , where , , and is the standard Riemann-Liouville derivative, is the linear functional given by the Riemann-Stieltjes integrals, is a function of bounded variation, and 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.
|35R11||Fractional partial differential equations|
|35B40||Asymptotic behavior of solutions of PDE|
|35B09||Positive solutions of PDE|
|35A02||Uniqueness problems for PDE: global uniqueness, local uniqueness, non-uniqueness|