On existence of positive solution for initial value problem of nonlinear fractional differential equations of order 1 M. M. Matar Received: January 30, 2014; Accepted: April 28, 2014 Abstract. The existence of positive solution for a class of nonlinear fractional differential equations are investigated by the method of upper and lower solutions and using Schauder and Banach fixed point theorems. Keywords: fractional differential equations; positive solution; upper and lower solutions; existence and uniqueness; Banach and Schauder fixed point theorems. AMS Subject classification: Primary: 26A33; Secondary: 34A12, 34G20. Version to read: PDF ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2008, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |