On the Finite Delayed Fractional Differential Equation via Riemann–Liouville Derivative of Non-linear Variable-Order
Yazarlar (4)
Mohammed Said Souid
Saveetha School Of Engineering, Hindistan
Saveetha School Of Engineering, Hindistan
Doç. Dr. Hatıra GÜNERHAN Kafkas Üniversitesi, Türkiye
Hallouz Abdelhamid Université Ibn-Khaldoun Tiaret, Cezayir
Hemen Dutta
Gauhati University, Hindistan
Gauhati University, Hindistan
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Iranian Journal of Science (Q3) | ||
| Dergi ISSN | 2731-8095 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | Türkçe | Basım Tarihi | 08-2025 |
| Cilt / Sayı / Sayfa | 50 / 2 / 655–662 | DOI | 10.1007/s40995-025-01859-1 |
| Makale Linki | https://doi.org/10.1007/s40995-025-01859-1 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| This paper investigates the existence and uniqueness of solutions (EUSS) for a finite delayed problem of fractional differential equations with nonlinear variable order (FDPFDENVO). The analysis employs advanced mathematical tools, including the schauder fixed-point theorem (SFPT) and the banach fixed-point theorem (BFPT), offering a streamlined approach that requires fewer restrictive assumptions. To demonstrate the practical relevance of the theoretical findings, the study includes an applied example. The results hold significant value for understanding complex dynamical systems with time delays, with potential applications in engineering, economics, and medicine. Additionally, the findings contribute to refining numerical methods for solving delay equations. |
| Anahtar Kelimeler |
| Derivatives and integrals of variable-order | Finite delayed problem | Fixed point theorem | Initial value problem |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 4 |
| Scopus | 4 |
| Google Scholar | 4 |