Abstract

In this manuscript, we presented the technique of having solutions to sequential ψ-Caputo fractional differential equations (ψ-CFDE) with fractional boundary conditions (ψ-FBCs). Well-known fixed point techniques are used to analyze the existence of the problem. In particular, the principle of shrinkage mapping is used to investigate the results of uniqueness. Krasnosiliki’s theory reflects us in this regard obtaining the results of existence. A numerical example is employed to exemplify the desired results by considering specific cases. This demonstrates and substantiates the generalization of our work to various recent and intriguing updates.