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Existence of a positive solution to a class of fractional differential equations

✍ Scribed by Christopher S. Goodrich

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
290 KB
Volume
23
Category
Article
ISSN
0893-9659

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✦ Synopsis

In this paper, we consider a (continuous) fractional boundary value problem of the form andD Ξ½ 0+ is the standard Riemann-Liouville fractional derivative of order Ξ½. We derive the Green's function for this problem and show that it satisfies certain properties. We then use cone theoretic techniques to deduce a general existence theorem for this problem. Certain of our results improve on recent work in the literature, and we remark on the consequences of this improvement.

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