Uniqueness and Existence of Positive Solutions for a Multi-Point Boundary Value Problem of Singular Fractional Differential Equations

Chu, Yan-DongBaleanu, DumitruZhou, Wen-Xue2020-04-022025-09-182020-04-022025-09-182013Zhou, Wen-Xue; Chu, Yan-Dong; Baleanu, Dumitru, "Uniqueness and existence of positive solutions for a multi-point boundary value problem of singular fractional differential equations", Advances In Difference Equations, (2013)1687-1847https://doi.org/10.1186/1687-1847-2013-114https://hdl.handle.net/20.500.12416/13091In this paper, we study the uniqueness of a positive solution for the singular nonlinear fractional differential equation boundary value problem , , , , where is a real number, is the standard Riemann-Liouville differentiation and , with . Our analysis relies on a fixed-point theorem in partially ordered set. As an application, an example is presented to illustrate the main result. MSC: 26A33, 34B15, 34K37.eninfo:eu-repo/semantics/openAccessBoundary Value ProblemSingular Fractional Differential EquationsRiemann-Liouville Fractional DerivativeUniquenessPartially Ordered SetUniqueness and Existence of Positive Solutions for a Multi-Point Boundary Value Problem of Singular Fractional Differential EquationsUniqueness and Existence of Positive Solutions for A Multi-Point Boundary Value Problem of Singular Fractional Differential EquationsArticle10.1186/1687-1847-2013-1142-s2.0-84893949390