A Novel Implementation of Dhage's Fixed Point Theorem to Nonlinear Sequential Hybrid Fractional Differential Equation

In this work, the existence and uniqueness of solutions to a sequential fractional (Hybrid) differential equation with hybrid boundary conditions were investigated by the generalization of Dhage's fixed point theorem and Banach contraction mapping, respectively. In addition, the U-H technique is employed to verify the stability of this solution. This study ends with two examples illustrating the theoretical findings.

Automated summary

This work investigates the existence and uniqueness of solutions to a sequential fractional (Hybrid) differential equation with hybrid boundary conditions using the generalization of Dhage's fixed point theorem and Banach contraction mapping. Additionally, the stability of the solution is verified using the U-H technique, and two examples are provided to illustrate the theoretical findings.