New approximate analytical solutions for the nonlinear fractional Schrödinger equation with second-order spatio-temporal dispersion via double Laplace transform method
Yazarlar (6)
Mohammed K. A. Kaabar Universiti Malaya, Malezya
Francisco Martínez Universidad Politecnica De Cartagena, İspanya
José Francisco Gomez-Aguila Centro Nacional De Investigación Y Desarrollo Tecnológico, Mexico, Meksika
Behzad Ghanbarı
Kermanshah University Of Technology, İran
Kermanshah University Of Technology, İran
Melike Kaplan Kastamonu University, Türkiye
Doç. Dr. Hatıra GÜNERHAN Kafkas Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Mathematical Methods in the Applied Sciences (Q1) | ||
| Dergi ISSN | 0170-4214 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | Türkçe | Basım Tarihi | 03-2021 |
| Cilt / Sayı / Sayfa | 44 / 14 / 11138–11156 | DOI | 10.1002/mma.7476 |
| Makale Linki | http://dx.doi.org/10.1002/mma.7476 | ||
| Özet |
| In this paper, a modified nonlinear Schrödinger equation with spatiotemporal dispersion is formulated in the senses of Caputo fractional derivative and conformable derivative. A new generalized double Laplace transform coupled with Adomian decomposition method has been defined and applied to solve the newly formulated nonlinear Schrödinger equation with spatiotemporal dispersion. The approximate analytical solutions are obtained and compared with each other graphically. |
| Anahtar Kelimeler |
| Caputo fractional derivative | conformable derivative | double Laplace transform | nonlinear fractional Schrödinger equation |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| SCOPUS | 49 |
| Google Scholar | 86 |