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Existence of Solutions for Boundary Value Problems of Conformable Fractional Differential Equations

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Document pages: 10 pages

Abstract: In this paper, we study a class ofboundary value problems for conformable fractional differential equations undera new definition. Firstly, by using the monotone iterative technique and themethod of coupled upper and lower solution, the sufficient condition for theexistence of the boundary value problem is obtained, and the range of thesolution is determined. Then the existence and uniqueness of the solution areproved by the proof by contradiction. Finally, a concrete example is given toillustrate the wide applicability of our main results.

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