Existence and Uniqueness Theorems for Sequential Linear Conformable Fractional Differential Equations

2015/03/18 by Ahmet Gökdoğan, Gökdoğan, Ahmet, Emrah Ünal +4
Mathematics · #Fractional Differential Equations Solutions #Functional Equations Stability Results #Nonlinear Differential Equations Analysis #math.CA #msc:34AXX

paper · pdf · doi:10.48550/arxiv.1504.02016

arxiv created 2015/03/18 · arxiv updated 2015/04/09

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.

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