Boundary value problem with tempered fractional derivatives and oscillating term

In this article, a class of boundary value problem with tempered fractional derivatives is studied. By using a variational principle due to Ricceri (in J Comput Appl Math 113:401–410, 2000), the existence of infinitely many weak solutions for these problems is established by requiring that the nonli...

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Bibliographic Details
Published in:Journal of pseudo-differential operators and applications Vol. 14; no. 4
Main Authors: Torres Ledesma, César E., Cuti, Hernán, Ávalos Rodríguez, Jesús, Montalvo Bonilla, Manuel
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 01-12-2023
Springer Nature B.V
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Summary:In this article, a class of boundary value problem with tempered fractional derivatives is studied. By using a variational principle due to Ricceri (in J Comput Appl Math 113:401–410, 2000), the existence of infinitely many weak solutions for these problems is established by requiring that the nonlinear term f has a suitable oscillating behavior either at the origin or at infinity.
ISSN:1662-9981
1662-999X
DOI:10.1007/s11868-023-00558-y