On boundary value problems of Caputo fractional differential equation of variable order via Kuratowski MNC technique

Abstract In this manuscript, we examine both the existence and stability of solutions to boundary value problem Caputo fractional differential equations variable order by converting it into an equivalent standard constant with help generalized intervals piece-wise functions. All results in study are established using Darbo’s fixed point theorem combined Kuratowski measure noncompactness. Further, Ulam–Hyers given is examined; finally, construct example illustrate validity observed results.