论文标题
在具有Atangana-Baleanu-Caputo衍生物的非线性混合分数微分方程上
On Nonlinear Hybrid Fractional Differential Equations with Atangana-Baleanu-Caputo Derivative
论文作者
论文摘要
在本文中，我们发展了涉及Atangana-baleanu--caputo（ABC）分数衍生物的非线性混合分数微分方程的理论。我们构建等效的分数积分方程，并通过它确定存在结果。此外，我们建立了ABC-杂交分数微分方程的不平等理论，并使用它来检查最大和最小解决方案的独特性，存在和比较结果。
In this paper, we develop the theory of nonlinear hybrid fractional differential equations involving Atangana--Baleanu--Caputo (ABC) fractional derivative. We construct the equivalent fractional integral equation and establish the existence results through it. Further, we build up the theory of inequalities for ABC--hybrid fractional differential equations and use it to examine the uniqueness, existence of a maximal and minimal solution and the comparison results.
