New existence results for nonlinear functional hybrid differential equations involving the $\psi-$Caputo fractional derivative
New existence results for nonlinear functional hybrid differential equations involving the $\psi-$Caputo fractional derivative
In this manuscript, we are concerned with the existence result of nonlinear hybrid differential equations involving $\psi-$Caputo fractional derivatives of an arbitrary order $\alpha\in(0,1)$. By applying Krasnoselskii fixed point theorem and some fractional analysis techniques, we prove our main result. As application, a nontrivial example is given to demonstrate the effectiveness of our theoretical result.
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- Başlangıç: 2018
- Yayıncı: Erdal KARAPINAR