Positive Solutions of Eigenvalue Problems for a Class of Fractional Differential Equations with Derivatives
Author(s) -
Xinguang Zhang,
Lishan Liu,
Benchawan Wiwatanapataphee,
Yonghong Wu
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/512127
Subject(s) - mathematics , eigenvalues and eigenvectors , class (philosophy) , fractional calculus , mathematical analysis , differential equation , pure mathematics , physics , quantum mechanics , artificial intelligence , computer science
By establishing a maximal principle and constructing upper and lower solutions, the existence of positive solutions for the eigenvalue problem of a class of fractional differential equations is discussed. Some sufficient conditions for the existence of positive solutions are established
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