On Nonlinear Periodic Problems with Caputo's Exponential Fractional Derivative

Mohamed Chohri, S. Bouriah, Salim Abdelkrim, M. Benchohra
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Abstract

In this article, we employ Mawhin's theory of degree of coincidence to provide an existence result for a class of problems involving non-linear implicit fractional differential equations with the exponentially fractional derivative of Caputo. Two examples are provided to demonstrate the applicability of our results.
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关于Caputo指数分数阶导数的非线性周期问题
本文利用Mawhin的重合度理论,给出了一类含指数分数阶Caputo导数的非线性隐式分数阶微分方程问题的存在性结果。给出了两个例子来证明我们的结果的适用性。
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