Positive solutions for Hadamard fractional differential equations on infinite domain

Advances in Difference Equations

Jessada Tariboon¹  Phollakrit Thiramanus³  Sotiris K Ntouyas⁴ 

[1] Department of Mathematics, University of Ioannina, Ioannina, Greece;Nonlinear Analysis and Applied Mathematics (NAAM) - Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia;Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, Thailand

关键词: Hadamard fractional derivative;    Hadamard fractional integral;    fractional integral boundary conditions;    fixed point theorems;    34A08;    34A12;    34B15;    34B40;   

DOI  :  10.1186/s13662-016-0813-7

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper investigates the existence of nonnegative multiple solutions for nonlinear fractional differential equations of Hadamard type, with nonlocal fractional integral boundary conditions on an unbounded domain by means of Leggett-Williams and Guo-Krasnoselskii’s fixed point theorems. Two examples are discussed for illustration of the main work.

【 授权许可】

CC BY