A study of incomplete <i>I</i>-functions relating to certain fractional integral operators

The study discussed in this article is driven by the realization that many physical processes may be understood using applications of fractional operators and special functions. In study, we present examine a integral operator with an I-function its kernel. This used to solve several differential equations (FDEs). FDE has set particular cases whose solutions represent different phenomena. Many mathematical physics, biology, engineering, chemistry problems are identified solved FDE. Specifically, few exciting relations involving new incomplete (IIF) kernel classical Riemann Liouville derivative operators, Hilfer operator, generalized composite derivate (GCFD) established. discovery investigation important exceptional follow this.