Study of multi-term fractional delay differential equations involving Caputo-fractional derivative

Abstract

The aim of this paper is to produce some necessary conditions to exhibit the existence of solutions for the multi-term delay fractional boundary value problems subject to the periodic/anti-periodic boundary conditions in setting of ♭-metric spaces. In this regard we obtain the fixed-point results for $F$-type mappings that satisfy specific contractive criteria and have less limitations put on function $F$ and then prove the existence results with the aid of obtained fixed point results.