NONLOCAL BOUNDARY VALUE PROBLEMS FOR HILFER FRACTIONAL DIFFERENTIAL EQUATIONS

被引：76

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

页码：1639 / 1657

页数：19

共 16 条

[1]

[Anonymous], 2000, Applications of Fractional Calculus in Physics

[2]

[Anonymous], 1999, Fractional Differential Equations

[3]

[Anonymous], 1993, INTRO FRACTIONAL CA

[4]

[Anonymous], 2006, Journal of the Electrochemical Society