NONLOCAL BOUNDARY VALUE PROBLEMS FOR HILFER FRACTIONAL DIFFERENTIAL EQUATIONS

被引：69
|
作者：
Asawasamrit, Suphawat [1 ]
Kijjathanakorn, Atthapol [1 ]
Ntouyas, Sotiris K. [2 ,3 ]
Tariboon, Jessada [1 ]
机构：
[1] King Mongkuts Univ Technol, Fac Appl Sci, Dept Math, Nonlinear Dynam Anal Res Ctr, Bangkok 10800, Thailand
[2] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece
[3] King Abdulaziz Univ, Fac Sci, Nonlinear Anal & Appl Math Naam Res Grp, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2018年 / 55卷 / 06期
关键词：
Hilfer fractional derivative; Riemann-Liouville fractional derivative; Caputo fractional derivative; boundary value problems; existence and uniqueness; fixed point theory;
D O I：
10.4134/BKMS.b170887
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we initiate the study of boundary value problems involving Hilfer fractional derivatives. Several new existence and uniqueness results are obtained by using a variety of fixed point theorems. Examples illustrating our results are also presented.
引用
收藏
页码：1639 / 1657
页数：19
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