Existence outcomes for newly formulated sequential Liouville–Caputo fractional differential equations subject to mixed-type conditions

The class of problems studied in this study consists of a different type of fractional differential equations (FDEs) that is a sequential Liouville–Caputo FDEs, featuring antiperiodic and Riemann–Liouville integral boundary conditions, under some suitable conditions. The primary purpose of this paper is to analyze the existence and uniqueness (EU) of the solution of the problem proposed herein using the fixed point (FP) theory and several novel equalities have been derived in the norm form. At last, two precise illustrations of the research findings are provided to showcase its efficacy and success. Ultimately, in order to finalize the components of the “main results” segment, supplementary findings have been outlined in the appendix.