Modern technique to study Cauchy-type problem of fractional variable order differential equations with infinite delay via phase space
Yazarlar (4)
Marwa Benaouda Université Ibn-Khaldoun Tiaret, Cezayir
Souhila Sabit Université Ibn-Khaldoun Tiaret, Cezayir
Doç. Dr. Hatıra GÜNERHAN Kafkas Üniversitesi, Türkiye
Mohammed Said Souid Université Ibn-Khaldoun Tiaret, Cezayir
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Modern Physics Letters B (Q1) | ||
| Dergi ISSN | 0217-9849 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 04-2024 |
| Cilt / Sayı / Sayfa | 38 / 34 / 2450343–0 | DOI | 10.1142/S0217984924503433 |
| Makale Linki | http://dx.doi.org/10.1142/s0217984924503433 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| In this paper, we use a novel approach to study the existence, uniqueness, and stability of solutions (EUSS) to a Cauchy-type problem of nonlinear fractional differential equations (FrDiEq) of variable order with infinite delay (CPNFDEVOID). Contrary to the techniques taken in the literature, which were centered on the usage of the concept of generalized intervals and the idea of piecewise constant functions, our approach is straightforward and based on a novel fractional operator that is more appropriate and demonstrates the solvability and stability of the main problem under less restrictive presumptions. The results are achieved in this paper by using Fixed Point Theory (FPT). The application, which includes an example and supporting images, concludes the paper. |
| Anahtar Kelimeler |
| Derivatives and integrals of variable-order | fixed point theorem | functional differential equations with infinite delay Ulam-Hyers stability |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 1 |
| Scopus | 1 |
| Google Scholar | 2 |