Generalized fractional delay functional equations with Riemann-Stieltjes and infinite point nonlocal conditions

In the current work, we investigate the solvability of a general class of fractional delay functional equations subject to an infinite point non-classical condition, and the Riemann-Stieltjes integral condition as well. First, the existence of solutions is investigated. Second, the continuous dependence of solution is studied in three different cases. Third, illustrative examples are given to support our results. Our work extends some developments published recently in that field.

Automated summary

This paper investigates the solvability of a general class of fractional delay functional equations subject to an infinite point non-classical condition and the Riemann-Stieltjes integral condition. It explores the existence of solutions and the continuous dependence of solutions in three different cases. Illustrative examples are provided to support the results. This work extends some recent developments in the field.