Terminal value problem for Riemann‐Liouville fractional differential equation in the variable exponent Lebesgue space Lp(.)$$ {L}^{p(.)}
Yazarlar (4)
Ahmed Refice Université Djillali Liabes De Sidi Bel Abbes, Cezayir
Mohammed Said Souid Université Ibn-Khaldoun Tiaret, Cezayir
Juan L.G. Guirao Universidad De Murcia, İspanya
Doç. Dr. Hatıra GÜNERHAN Kafkas Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Mathematical Methods in the Applied Sciences (Q1) | ||
| Dergi ISSN | 0170-4214 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2023 |
| Cilt / Sayı / Sayfa | 48 / 7 / 7316–7334 | DOI | 10.1002/mma.8964 |
| Makale Linki | https://onlinelibrary.wiley.com/doi/10.1002/mma.8964 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| In this manuscript, the existence, uniqueness, and stability of solutions to the terminal value problem of Riemann‐Liouville fractional equations are established in the variable exponent Lebesgue spaces Lp(.)$$ {L}^{p(.)} $$. We convert the variable exponent Lebesgue spaces Lp(.)$$ {L}^{p(.)} $$ to the Lebesgue spaces using the generalized intervals and piece‐wise constant function. Further, the Banach contraction principle is used, the Ulam‐Hyers‐stability is examined, and finally, we construct an example. |
| Anahtar Kelimeler |
| fixed point theorem | fractional differential equations | terminal value problem | Ulam-Hyers stability | variable exponent Lebesgue spaces |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 2 |
| Scopus | 2 |
| Google Scholar | 3 |