In this article, we study the existence and uniqueness of solutions for system of fractional hybrid differential equations of order $n-1 where $psi, phi:[0,1]ightarrow mathbb{R}$ linear and $D^{u}$ is the R-L fractional derivative of order $u,artheta=[0, 1]$, and the functions $Theta:arthetaimes mathbb{R}ightarrow [0,1]$, $Theta (0, 0)=0,$ and $Phi:artheta imes mathbb{R}imes mathbb{R}ightarrow [0,1]$ are continuous and satisfy certain conditions. We established sufficient conditions for the existence and uniqueness of solutions using fixed point theorem on topological degree method. We provide an example to justify the obtained results.
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机译:在本文中,我们研究阶为$ n-1的分数混合微分方程组的解的存在性和唯一性,其中$ psi, phi:[0,1] rightarrow mathbb {R} $线性和$ D ^ { nu} $是顺序$ nu, vartheta = [0,1] $的RL分数导数,以及函数$ Theta: vartheta times mathbb {R} rightarrow [0,1] $,$ Theta(0,0)= 0,$和$ Phi: vartheta times mathbb {R} times mathbb {R} rightarrow [0,1] $是连续的并满足某些条件。利用拓扑度法上的不动点定理,为解的存在性和唯一性建立了充分的条件。我们提供一个例子来证明所获得的结果是合理的。
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