English

Existence and Uniqueness Theorems for Sequential Linear Conformable Fractional Differential Equations

Classical Analysis and ODEs 2015-04-09 v1

Abstract

Recently, a new fractional derivative called the conformable fractional derivative is given on based basic limit definition derivative in [4]. Then, the fractional versions of chain rules, exponential functions, Gronwalls inequality, integration by parts, Taylor power series expansions is developed in [5]. In this paper, we present existence and uniqueness theorems for sequential linear conformable fractional differential equations.

Keywords

Cite

@article{arxiv.1504.02016,
  title  = {Existence and Uniqueness Theorems for Sequential Linear Conformable Fractional Differential Equations},
  author = {Ahmet Gökdoğan and Emrah Ünal and Ercan Çelik},
  journal= {arXiv preprint arXiv:1504.02016},
  year   = {2015}
}
R2 v1 2026-06-22T09:12:47.345Z