Systems of generalized Sturm-Liouville and Langevin fractional differential equations

Advances in Difference Equations

Jessada Tariboon¹  Thanadon Muensawat³  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: Sturm-Liouville problem;    Langevin equation;    fractional differential equation;    Caputo fractional derivative;    boundary value problem;    34A08;    34A12;    34B15;   

DOI  :  10.1186/s13662-017-1114-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study anti-periodic boundary value problems for systems of generalized Sturm-Liouville and Langevin fractional differential equations. Existence and uniqueness results are proved via fixed point theorems. Examples illustrating the obtained results are also presented.

【 授权许可】

CC BY