The Existence of Solutions for a Fractional 2m-Point Boundary Value Problems. (26th January 2012)

• Record Type: Journal Article
• Authors: Wang Wang, Gang Gang; Liu Liu, Wenbin Wenbin; Yang Yang, Jinyun Jinyun; Zhu Zhu, Sinian Sinian; Zheng Zheng, Ting Ting
• Other Names: Li Li Yongkun Yongkun Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2012(2012)
• Publication Date: 2012-01-26
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2012/841349
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : By using the coincidence degree theory, we consider the following 2m -point boundary value problem for fractional differential equation D 0 + α u t = f t, u t, D 0 + α - 1 u t, D 0 + α - 2 u t + e t, 0 < t < 1, I 0 + 3 - α u t | t = 0 = 0, D 0 + α - 2 u 1 = ∑ i = 1 m - 2 a i D 0 + α - 2 u ξ i, u 1 = ∑ i = 1 m - 2 b i u η i, where 2 < α ≤ 3, D 0 + α and I 0 + α are the standard Riemann-Liouville fractional derivative and fractional integral, respectively. A new result on the existence of solutions for above fractional boundary value problem is obtained.