Variational methods for Kirchhoff type problems with tempered fractional derivative
| dc.contributor.author | Nyamoradi, Nemat | |
| dc.contributor.author | Zhou, Yong | |
| dc.contributor.author | Ahmad, Bashir | |
| dc.contributor.author | Alsaedi, Ahmed | |
| dc.date.accessioned | 2022-01-05T15:42:42Z | |
| dc.date.available | 2022-01-05T15:42:42Z | |
| dc.date.issued | 2018-01-24 | |
| dc.description.abstract | In this article, using variational methods, we study the existence of solutions for the Kirchhoff-type problem involving tempered fractional derivatives M(∫ℝ |Dα,λ+ u(t)|2dt) Dα,λ_ (Dα,λ+ u(t)) = ƒ(t, u(t)), t ∈ ℝ, u ∈ Wα,2λ(ℝ), where Dα,λ± u(t) are the left and right tempered fractional derivatives of order α ∈ (1/2, 1], λ > 0, Wα,2λ(ℝ) represent the fractional Sobolev space, ƒ ∈ C(ℝ x ℝ, ℝ) and M ∈ C(ℝ+, ℝ+). | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Nyamoradi, N., Zhou, Y., Ahmad, B., & Alsaedi, A. (2018). Variational methods for Kirchhoff type problems with tempered fractional derivative. <i>Electronic Journal of Differential Equations, 2018</i>(34), pp. 1-13. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15090 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Tempered fractional calculus | |
| dc.subject | Kirchhoff type problems | |
| dc.subject | Variational methods | |
| dc.title | Variational methods for Kirchhoff type problems with tempered fractional derivative | en_US |
| dc.type | Article |