Applications of the \({\psi }\)- caputo fractional operator in the existence of solutions to hybrid differential equations

This article examines the existence of solutions for mixed hybrid fractional differential equations of the sequential type with nonlocal integrable hybrid boundary conditions. The primary results are obtained through the use of M \(\ddot{o}\) $\ddot{o}$ nch’s fixed point theorem and the Hausdorff measure of noncompactness. Additionally, the stability of the proposed fractional differential equations is assessed using the Ulam-Hyers technique. To reinforce the theoretical findings, an applied example is included.