Nyamoradi, NematBaleanu, DumitruBashiri, TaherehVaezpour, S. MansourBaleanu, DumitruMatematik2025-09-232025-09-232014Nyamoradi, Nemat...et.al.(2014). "Uniqueness and existence of positive solutions forsingular fractional differential equations" Electronic Journal Of Differential Equations, No.130.1072-6691https://hdl.handle.net/20.500.12416/15587Nyamoradi, Nemat/0000-0002-4172-7658; Vaezpour, S. Mansour/0000-0003-3909-4203In this article, we study the existence of positive solutions for the singular fractional boundary value problem [GRAPHICS] where 1 < alpha <= 2, 0 < xi <= 1/2, a is an element of [0, infinity), 1 < alpha - delta < 2, 0 < beta(i) < 1, A, B-i, 1 <= i <= k, are real constant, D-alpha is the Reimann-Liouville fractional derivative of order alpha. By using the Banach's fixed point theorem and Leray-Schauder's alternative, the existence of positive solutions is obtained. At last, an example is given for illustration.eninfo:eu-repo/semantics/closedAccessExistence Of SolutionsBanachs Fixed Point TheoremLeray-Schauders AlternativeArticle2-s2.0-84902097378