非线性分数阶发展方程耦合系统的非局部柯西问题

Nonlocal Cauchy Problem for Coupled Systems of Nonlinear Fractional Evolution Equations

在任意的-Banach-空间中,研究了非线性分数阶发展方程耦合系统非局部柯西问题的适应性.基于某些条件下的Banach压缩定理,非线性交错Leray-Schauder型Schaefer不动点定理,得到了非线性分数阶发展方程耦合系统柯西问题存在唯一mild解.

In this article, we syudy the well-posedness of the nonlocal cauchy problem for coupled systems of nonlinear fractional evolution equations in an arbitrary Banach space. Relaying on Banach contraction principle, Schaefer fixed point theorem under certain conditions, wo get the existence and uniqueness of mild solutions for the coupled systems of nonlinear fractional evolution equations.