Fuzzy fractional differential equations with the generalized Atangana-Baleanu fractional derivative
Fuzzy Sets and Systems(2022)
摘要
In this paper, we introduce a generalization of Atangana-Baleanu type fractional calculus with respect to the generalized Mittag-Leffler kernel which has been named as the generalized Atangana-Baleanu (GAB) type fractional calculus. Existence and uniqueness results for the initial value problems of fuzzy differential equations involving a GAB fractional derivative in the Caputo sense are established by employing the method of successive approximation and by means of fixed point theorems. To visualize the theoretical results, some examples and numerical simulations are given.
更多查看译文
关键词
Fuzzy fractional differential equations,The generalized Mittag-Leffler kernel,Fractional Atangana-Baleanu derivative
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要