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Existence of Extremal Solutions for Caputo Fractional Differential Equations with Bounded Delay |
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PP: 487-498 |
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doi:10.18576/pfda/090311
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Author(s) |
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Juan Diego Ram ́ırez,
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Abstract |
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| In this paper we study Caputo fractional differential equations with bounded delay. By finding lower and upper solutions of the problem, we develop two generalized monotone methods in which we construct a decreasing sequence that converges uniformly and monotonically to a minimal solution, and a decreasing sequence that converges uniformly and monotonically to a maximal solution. We finish this work by illustrating our results with an example.
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