p. 105 - 111 An integrodifferential equation with fractional derivatives in the nonlinearities Zhenyu Guo and Min Liu Received: April 25, 2012; Accepted: June 1, 2012 Abstract. An integrodifferential equation with fractional derivatives in the nonlinearities is studied in this article, and some sufficient conditions for existence and uniqueness of a solution for the equation is established by contraction mapping principle. Keywords: Integrodifferential equations; fractional order derivative; fixed point. AMS Subject classification: Primary: 34A12, 34G20, 34K05 PDF Compressed Postscript Version to read 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 © 2013, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |