Properties of positive solutions to a class of four-point boundary value problem of Caputo fractional differential equations with a parameter |
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| Affiliation: | 1. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia;2. Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece |
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| Abstract: | In this paper, by using fixed point theorems of concave operators in partial ordering Banach spaces, we establish the existence and uniqueness of positive solutions to a class of four-point boundary value problem of Caputo fractional differential equations for any given parameter. Moreover, we present some pleasant properties of positive solutions to the boundary value problem dependent on the parameter. In the end, two examples are given to illustrate our main results. |
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| Keywords: | Caputo fractional order derivative Positive solution Parameter Fixed point theorems of concave operator Four-point boundary value problem |
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