Analysis of implicit type of a generalized fractional differential equations with nonlinear integral boundary conditions

Saleh Redhwan, Sadikali Shaikh
2020 Journal of Mathematical Analysis and Modeling  
The given paper describes the implicit fractional differential equation with nonlinear integral boundary conditions in the frame of Caputo-Katugampola fractional derivative. We obtain an analogous integral equation of the given problem and prove the existence and uniqueness results of such a problem using the Banach and Krasnoselskii fixed point theorems. To show the effectiveness of the acquired results, convenient examples are presented.
doi:10.48185/jmam.v1i1.14 fatcat:cc4bbjvdgbemnpvtdpo3t344wa