Multiterm boundary value problem of Caputo fractional differential equations of variable order
Yazarlar (3)
Zoubida Bouazza Université Djillali Liabes De Sidi Bel Abbes, Cezayir
Mohammed Said Souid Université Ibn-Khaldoun Tiaret, Cezayir
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 | Advances in Difference Equations (Q1) | ||
| Dergi ISSN | 1687-1839 | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | Türkçe | Basım Tarihi | 08-2021 |
| Cilt / Sayı / Sayfa | 2021 / 1 / 1–17 | DOI | 10.1186/s13662-021-03553-z |
| Makale Linki | http://dx.doi.org/10.1186/s13662-021-03553-z | ||
| Özet |
| In this manuscript, the existence, uniqueness, and stability of solutions to the multiterm boundary value problem of Caputo fractional differential equations of variable order are established. All results in this study are established with the help of the generalized intervals and piece-wise constant functions, we convert the Caputo fractional variable order to an equivalent standard Caputo of the fractional constant order. Further, two fixed point theorems due to Schauder and Banach are used, the Ulam–Hyers stability of the given Caputo variable order is examined, and finally, we construct an example to illustrate the validity of the observed results. In literature, the existence of solutions to the variable-order problems is rarely discussed. Therefore, investigating this interesting special research topic makes all our results novel and worthy. |
| Anahtar Kelimeler |
| Boundary value problem | Fixed point theorem | Fractional differential equations of variable order | Green function | Ulam–Hyers stability |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 18 |
| SCOPUS | 19 |
| Google Scholar | 30 |