Yazarlar (4) |
![]() Saveetha School of Engineering, India |
![]() Kafkas Üniversitesi, Türkiye |
![]() Université Ibn-Khaldoun Tiaret, Algeria |
![]() Gauhati University, India |
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 |
Makale Türü | Özgün Makale |
Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale |
Dergi Adı | Iranian Journal of Science |
Dergi ISSN | 2731-8095 Wos Dergi Scopus Dergi |
Dergi Grubu | Q3 |
Makale Dili | İngilizce |
Basım Tarihi | 01-2025 |
Sayı | 1 |
Doi Numarası | 10.1007/s40995-025-01859-1 |