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Seventh Mississippi State - UAB Conference on Differential Equations & Computational Simulations
November 1-3, 2007
Doubletree Hotel
Birmingham, AL, USA |
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Organizers
Mississippi State University & University of Alabama - Birmingham
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On a Singular Boundary Value Problem for a Nonlinear Differential Equation of Fractional Order
by
Nickolai Kosmatov
University of Arkansas at Little Rock
We are concerned with the nonlinear differential equation of fractional order
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Da0+ u(t) = f(t, u(t), u'(t)), a. e. t ∈ (0, 1), |
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where Da0+ is the Riemann-Liouville derivative of order 1 < a < 2,
subject to the boundary conditions
We obtain the existence of at least one solution using the Leray-Schauder Continuation Principle.
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Date received: August 1, 2007
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Document # cauf-10.