Fractional differential equations of Riemann–Liouville of variable order with anti-periodic boundary conditions
Yazarlar (4)
Bouazza Zoubida
Ibn Khaldoun University, Yemen
Ibn Khaldoun University, Yemen
Mohammed Said Souid
Ibn Khaldoun University, Yemen
Ibn Khaldoun University, Yemen
Doç. Dr. Hatıra GÜNERHAN Kafkas Üniversitesi, Türkiye
Hadi Rezazadeh Amol University Of Special Modern Technologies, İran
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Engineering Computations Swansea Wales (Q2) | ||
| Dergi ISSN | 0264-4401 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 03-2025 |
| Cilt / Sayı / Sayfa | 42 / 2 / 595–610 | DOI | 10.1108/EC-01-2024-0029 |
| Makale Linki | https://doi.org/10.1108/ec-01-2024-0029 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| Purpose The purpose of this paper is to investigate the existence, uniqueness and stability of solutions to a class of Riemann–Liouville fractional differential equations with anti-periodic boundary conditions of variable order (R-LFDEAPBCVO). The study utilizes standard fixed point theorems (FiPoTh) to establish the existence and uniqueness of solutions. Additionally, the Ulam-Hyers-Rassias (Ul-HyRa) stability of the considered problem is examined. The obtained results are supported by an illustrative example. This research contributes to the understanding of fractional differential equations with variable order and anti-periodic boundary conditions, providing valuable insights for further studies in this field. Design/methodology/approach This paper (1) defines the Riemann–Liouville fractional differential equations with anti-periodic boundary conditions of variable order (R … |
| Anahtar Kelimeler |
| Anti-periodic boundary value problem | Fixed point theorem | Fractional variable order | Ulam-Hyers-Rassias stability |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 1 |
| Scopus | 1 |
| Google Scholar | 2 |