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
Universiti Malaya, Malezya
Francisco Martínez Universidad Politecnica De Cartagena, İspanya
José Francisco Gómez-Aguilar Centro Nacional De Investigación Y Desarrollo Tecnológico, Mexico, Meksika
Behzad Ghanbari
Kermanshah University Of Technology, İran
Kermanshah University Of Technology, İran
Doç. Dr. Melike KAPLAN YALÇIN Kastamonu Üniversitesi, Türkiye
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 | İngilizce | Basım Tarihi | 05-2021 |
| Kabul Tarihi | 11-04-2021 | Yayınlanma Tarihi | 27-05-2021 |
| Cilt / Sayı / Sayfa | 44 / 14 / 11138–11156 | DOI | 10.1002/mma.7476 |
| Makale Linki | http://dx.doi.org/10.1002/mma.7476 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| 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 | |
| Web of Science | 44 |
| Scopus | 49 |
| Google Scholar | 86 |