Gökdoğan, Ahmet; Ünal, Emrah; Çelík, Ercan Existence and uniqueness theorems for sequential linear conformable fractional differential equations. (English) Zbl 1389.34012 Miskolc Math. Notes 17, No. 1, 267-279 (2016). Summary: Recently, a new definition of fractional derivative called the “conformable fractional derivative” which is based on limits was introduced by R. Khalil et al. [J. Comput. Appl. Math. 264, 65–70 (2014; Zbl 1297.26013)]. Later, T. Abdeljawad [ibid. 279, 57–66 (2015; Zbl 1304.26004)] improved these definitions and gave the basic concepts in this new fractional calculus. In this paper, we generalize Abel’s formula and Wronskian determinant definition and establish existence and uniqueness theorems for sequential linear conformable fractional differential equations. Cited in 6 Documents MSC: 34A08 Fractional ordinary differential equations and fractional differential inclusions 34A30 Linear ordinary differential equations and systems, general Keywords:sequential linear fractional differential equations; conformable fractional derivative; existence and uniqueness theorems PDF BibTeX XML Cite \textit{A. Gökdoğan} et al., Miskolc Math. Notes 17, No. 1, 267--279 (2016; Zbl 1389.34012) Full Text: DOI arXiv