MMN-2230
Existence of solutions for fractional interval-valued differential equations by the method of upper and lower solutions
Yong Huang; Yunru Bai; Yiliang Liu; Iván Szántó;Abstract
In this work we firstly study some important properties of fractional calculus for interval-valued functions and introduce the concepts of upper and lower solutions for interval-valued Caputo fractional differential equations. Then, we prove an existence result for interval-valued Caputo fractional differential equations by use of the method of upper and lower solutions. Finally several examples will be presented to illustrate our abstract results.
Vol. 18 (2017), No. 2, pp. 811-836