Examination of an Analogous Hybrid-Type Fractional Differential Problem Under Nonsingular Kernel

Abstract

A class of hybrid fractional differential equations is the subject of the current investigation.Differential operator with Mittag-Leffler-type kernel is used. Proportional delay, a crucial com-ponent in electrodynamics and infectious illnesses, is included in the problem. Several factors,including qualitative analyses, Ulam–Hyer-type stability, and a general numerical scheme, havebeen taken into consideration for the suggested problem. We used functional analysis concepts,in particular the theory of fixed points, to general analysis. Lagrange’s interpolation approach,an existence methodology, has been used to study numerical aspect of the considered model.By using the adopted results, an example is studied at the conclusion to support the proposedtheory.