Existence results for mixed Hadamard and Riemann-Liouville fractional integro-differential equations

被引:9
|
作者
Ahmad, Bashir [1 ]
Ntouyas, Sotiris K. [1 ,2 ]
Tariboon, Jessada [3 ]
机构
[1] King Abdulaziz Univ, Dept Math, Fac Sci, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi Arabia
[2] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece
[3] King Mongkuts Univ Technol North Bangkok, Fac Sci Appl, Dept Math, Nonlinear Dynam Anal Res Ctr, Bangkok 10800, Thailand
关键词
fractional differential equations; Hadamard derivative; Riemann-Liouville derivative; fixed point theorem; DIFFERENTIAL-EQUATIONS; COUPLED SYSTEM; MODEL;
D O I
10.1186/s13662-015-0625-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we prove existence and uniqueness results for a mixed initial value problem which contains Hadamard derivative and Riemann-Liouville fractional integrals by using standard fixed point theorems. Examples illustrating the results are also presented.
引用
收藏
页数:10
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