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Pure Mathematics 2021
一类分数阶三点边值问题解的存在性
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Abstract:
![\"\"](\"Edit_2fa48dc3-b926-4020-aa61-86f752e84e6a.png\")
得到该问题解的存在性。进一步证明了限制非线性项的函数k(t)，在被形如Btμ的函数控制后，该问题至少存在一个解。最后，通过实例验证了结论的有效性。![\"\"](\"Edit_8a6452e7-a590-47e3-8ecc-189f9c54b567.png\")
are studied by using Leray-Schauder nonlinear alternative. The existence of the solution is obtained. Furthermore, it is proved that the function k(t), which is limited to the nonlinear term, exists at least one solution of the problem when it is controlled by a function of the form Btμ. Finally, an example is given to verify the validity of the conclusion.
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