Łupińska Barbara, Schmeidel Ewa
Institute of Computer Science, University of Bialystok, Konstantego Ciołkowskiego 1M, 15-245 Białystok, Poland.
Math Biosci Eng. 2021 Aug 27;18(6):7269-7279. doi: 10.3934/mbe.2021359.
In this work, some class of the fractional differential equations under fractional boundary conditions with the Katugampola derivative is considered. By proving the Lyapunov-type inequality, there are deduced the conditions for existence, and non-existence of the solutions to the considered boundary problem. Moreover, we present some examples to demonstrate the effectiveness and applications of the new results.
在这项工作中，考虑了具有卡图加波拉导数的分数阶边界条件下的某类分数阶微分方程。通过证明李雅普诺夫型不等式，推导了所考虑的边值问题解的存在性和不存在性条件。此外，我们给出了一些例子来说明新结果的有效性和应用。
