分数阶微分方程积分边值问题正解的存在性

Abstract

Abstract: By using the theory of fixed-point index, we considered a class of integral boundary value problems of fractional differential equations under the conditions related to the first eigenvalue of the corresponding linear operator. We obtained the result that there
was at least one positive solution for the integral boundary value problem, and gave an example to illustrate the applicability of the theorem.

Key words: fractional differential equation, integral boundary value problem, fixed-point index, positive solution, existence

CLC Number:

O175.8

SHANG Shuyan, HAN Xiaoling. Existence of Positive Solutions for Integral Boundary Value Problems of Fractional Differential Equations[J].Journal of Jilin University Science Edition, 2021, 59(3): 444-450.

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Existence of Positive Solutions for Integral Boundary Value Problems of Fractional Differential Equations

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