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Anti-periodic fractional boundary value problems for nonlinear differential equations of fractional order

โœ Scribed by Xuhuan Wang, Xiuqing Guo, Guosheng Tang

Book ID
120955480
Publisher
Springer-Verlag
Year
2012
Tongue
English
Weight
369 KB
Volume
41
Category
Article
ISSN
1598-5865

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๐Ÿ“œ SIMILAR VOLUMES

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Impulsive anti-periodic boundary value problem for nonlinear differential equations of fractional order
โœ Guotao Wang; Bashir Ahmad; Lihong Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 256 KB

In this paper, we prove the existence and uniqueness of solutions for an anti-periodic boundary value problem of nonlinear impulsive differential equations of fractional order ฮฑ โˆˆ (2, 3] by applying some well-known fixed point theorems. Some examples are presented to illustrate the main results.

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Nonlinear multi-order fractional differential equations with periodic/anti-periodic boundary conditions
โœ Choudhary, Sangita; Daftardar-Gejji, Varsha ๐Ÿ“‚ Article ๐Ÿ“… 2014 ๐Ÿ› SP Versita ๐ŸŒ English โš– 218 KB

Abstract In the present manuscript we analyze non-linear multi-order fractional differential equation $$L\left( D \right)u\left( t \right) = f\left( {t,u\left( t \right)} \right), t \in \left[ {0,T} \right], T > 0,$$ where $$L\left( D \right) = \lambda \_n ^c D^{\alpha \_n } + \lambda \_{n - 1} ^c D