On some conformable boundary value problems in the setting of a new generalized conformable fractional derivative

Abstract The fundamental objective of this article is to investigate about the boundary value problem with uses a generalized conformable fractional derivative introduced by Zarikaya et al. ( On calculus , TWMS J. App. Eng. Math. 9 (2019), no. 4, 792–799, http://jaem.isikun.edu.tr/web/images/articles/vol.9.no.4/11.pdf ). In development article, using classical methods calculus, we find definition Wronskian according differential operator defined Zarikaya, version Sturm-Picone theorem, and in addition, stability criterion given Hyers-Ulam theorem studied use aforementioned derivatives.