Fractional boundary value problems with integral boundary conditions |
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| Authors: | John R. Graef Lingju Kong Qingkai Kong Min Wang |
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| Affiliation: | 1. Department of Mathematics , University of Tennessee at Chattanooga , Chattanooga , TN 37403 , USA john-graef@utc.edu;3. Department of Mathematics , University of Tennessee at Chattanooga , Chattanooga , TN 37403 , USA;4. Department of Mathematics , Northern Illinois University , DeKalb , IL 60115 , USA |
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| Abstract: | In this article, we study a type of nonlinear fractional boundary value problem with integral boundary conditions. By constructing an associated Green's function, applying spectral theory and using fixed point theory on cones, we obtain criteria for the existence, multiplicity and nonexistence of positive solutions. |
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| Keywords: | fractional calculus Green's function positive solutions |
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