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Existence of positive solutions for the boundary value problem of nonlinear fractional differential equations

✍ Scribed by Xiong Yang; Zhongli Wei; Wei Dong

Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
231 KB
Volume
17
Category
Article
ISSN
1007-5704

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✦ Synopsis

In this paper, we investigate the nonlinear differential equation of fractional order.

C D a 0þ uðtÞ ¼ f ðt; uðtÞ; u 0 ðtÞÞ; 1 < a 6 2; 0 < t < 1;

where C D a 0ΓΎ is the Caputo fractional derivative, subject to the boundary conditions.

By means of Schauder's fixed point theorem and an extension of Krasnoselskii's fixed point theorem in a cone, some results on the existence of positive solutions are obtained.

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