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Southeastern-Atlantic Regional Conference on Differential Equations
October 19-20, 2007
Murray State University
Murray, Kentucky, USA

Organizers
K. Renee Fister, Maeve McCarthy

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Existence of Solutions for a Nonlinear Fractional Order Differential Equations
by
Kouadio David Yao
Department of Mathematics & Statistics, University of Arkansas at Little Rock
Coauthors: Eric R. Kaufmann

Abstract

Let Da denote the Riemann-Liouville fractional derivative. We are interested in studying the existence of solutions for the nonlinear fractional differential equation,
L(D)u=f(x, u(x)), 0 < x < 1,
u(0)=0, u(1)=0,
where L(D)=Da1-a Da2, 1 < a2 < a1 < 2, with a > 0.

Date received: September 25, 2007

Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavc-35.