Eigenvalue problems of fractional -difference equations with generalized -Laplacian

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• 作者：Xinhui Li ^{lixinhui1011@163.com" class="auth_mail" title="E-mail the corresponding author} ; Zhenlai Han ; ^{hanzhenlai@163.com" class="auth_mail" title="E-mail the corresponding author} ; Shurong Sun ^{sshrong@163.com" class="auth_mail" title="E-mail the corresponding author} ; Liying Sun ^{ss_sunly@ujn.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Fractional qq-difference equations ; Boundary value problems ; Fixed point theorem in cones
• 刊名：Applied Mathematics Letters
• 出版年：2016
• 出版时间：July 2016
• 年：2016
• 卷：57
• 期：Complete
• 页码：46-53
• 全文大小：556 K

文摘

In this paper, we study the eigenvalue problems of a class of nonlinear fractional 16300155&_mathId=si1.gif&_user=111111111&_pii=S0893965916300155&_rdoc=1&_issn=08939659&md5=65d273ffaac1844631796fd9de410476" title="Click to view the MathML source">q$q$-difference equations with generalized 16300155&_mathId=si2.gif&_user=111111111&_pii=S0893965916300155&_rdoc=1&_issn=08939659&md5=e550e0964672140b117887b6467853f3" title="Click to view the MathML source">p$p$-Laplacian involving the Riemann–Liouville fractional derivative. By means of fixed point theorem in cones, some results of positive solutions are obtained.