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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, India
Doç. Dr. Hatıra GÜNERHAN Doç. Dr. Hatıra GÜNERHAN
Kafkas Üniversitesi, Türkiye
Hallouz Abdelhamid
Université Ibn-Khaldoun Tiaret, Algeria
Hemen Dutta
Gauhati University, India
Devamını Göster
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