Mustafa, Octavian G.Agarwal, Ravi P.Baleanu, Dumitru02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2016-06-102025-09-182016-06-102025-09-182010Baleanu, D., Mustafa, O.G., Agarwal, R.P. (2010). An existence result for a superlinear fractional differential equation. Applied Mathematics Letters, 23(9), 1129-1132. http://dx.doi.org/10.1016/j.aml.2010.04.0490893-9659https://doi.org/10.1016/j.aml.2010.04.049https://hdl.handle.net/20.500.12416/13645We establish the existence and uniqueness of solution for the boundary value problem D-0(t)alpha(x') + a(t)x(lambda) = 0, t > 0, x' (0) = 0, lim(t ->+infinity) x(t) = 1, where D-0(t)alpha designates the Riemann-Liouville derivative of order alpha epsilon (0, 1) and lambda > 1. Our result might be useful for establishing a non-integer variant of the Atkinson classical theorem on the oscillation of Emden-Fowler equations. (C) 2010 Elsevier Ltd. All rights reserved.eninfo:eu-repo/semantics/openAccessSequential Differential EquationEmden-Fowler EquationNonlinear OscillationArticle10.1016/j.aml.2010.04.0492-s2.0-77953683625