期刊论文详细信息
Boundary value problems | |
Generalized Sturm-Liouville and Langevin equations via Hadamard fractional derivatives with anti-periodic boundary conditions | |
Jessada Tariboon1  Atthapol Kijjathanakorn2  Chanakarn Kiataramkul3  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 equations; Hadamard fractional derivative; boundary value problems; fixed point theorems; 34A08; 34B15; 34B24; | |
DOI : 10.1186/s13661-016-0725-1 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 摘 要 】
In this paper, we introduce a new class of anti-periodic boundary value problems by combining Sturm-Liouville and Langevin fractional differential equations of Hadamard type. Existence and uniqueness results are proved via fixed point theorems. Examples illustrating the obtained results are also presented.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
---|---|---|---|
RO201904028171209ZK.pdf | 1567KB | download |