数学
分数阶微积分
不动点定理
独特性
边值问题
理论(学习稳定性)
订单(交换)
巴拿赫空间
衍生工具(金融)
数学分析
Banach不动点定理
应用数学
功能(生物学)
机器学习
经济
金融经济学
计算机科学
财务
进化生物学
生物
作者
Ho Vu,John Michael Rassias,Ngo Van Hoa
摘要
The purpose of this paper is to discuss basic results of boundary value problems of fractional differential equations (BVP‐FDEs) via the concept of Caputo fractional derivative with respect to another function with the order . The existence and uniqueness results of a solution for BVP‐FDEs are discussed by utilizing Banach fixed point theorem and Schaefer's fixed point theorem. We also provide new sufficient conditions to guarantee the Hyers‐Ulam stability and the Hyers–Ulam–Rassias stability of BVP‐FDEs. Furthermore, some concrete examples to consolidate the obtained results are also considered.
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