Basic theory of initial value problems of conformable fractional differential equations

Abstract In this paper, we discuss the basic theory of the conformable fractional differential equation Tαax(t)=f(t,x(t)),t∈[a,∞) $T^{a}_{\alpha}x(t)=f(t,x(t)), t\in[a,\infty)$, subject to the local initial condition x(a)=xa $x(a)=x_{a} $ or the nonlocal initial condition x(a)+g(x)=xa $x(a)+g(x)=x_{...

Full description

Bibliographic Details
Main Authors: Wenyong Zhong, Lanfang Wang
Format: Article
Language:English
Published: SpringerOpen 2018-09-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-018-1778-5