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Boundary problems for fractional differential equations
Institution:Gdansk University of Technology, Department of Differential Equations and Applied Mathematics, 11/12, G.Narutowicz Str., 80-233 Gdańsk, Poland
Abstract:In this paper, the existence of solutions of fractional differential equations with nonlinear boundary conditions is investigated. The monotone iterative method combined with lower and upper solutions is applied. Fractional differential inequalities are also discussed. Two examples are added to illustrate the results.
Keywords:Fractional differential equations with boundary conditions  Monotone iterative method  Lower and upper solutions  Existence of solutions  Mittag-Leffler functions
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