Boundary value problem with tempered fractional derivatives and oscillating term. (English) Zbl 07762276
Summary: In this article, a class of boundary value problem with tempered fractional derivatives is studied. By using a variational principle due to B. Ricceri [J. Comput. Appl. Math. 113, No. 1–2, 401–410 (2000; Zbl 0946.49001)], 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.
MSC:
| 34A08 | Fractional ordinary differential equations |
| 34B09 | Boundary eigenvalue problems for ordinary differential equations |
| 47J30 | Variational methods involving nonlinear operators |
Keywords:
tempered fractional derivatives; tempered fractional space of Sobolev type; variational methods; oscillating termCitations:
Zbl 0946.49001References:
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