Existence, Uniqueness, and Stability of Solutions to Variable Fractional Order Boundary Value Problems
Yazarlar (3)
| Makale Türü |
Özgün Makale
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| Makale Alt Türü | Ulusal alan endekslerinde (TR Dizin, ULAKBİM) yayınlanan tam makale |
| Dergi Adı | Journal of New Theory |
| Dergi ISSN | 2149-1402 |
| Dergi Tarandığı Indeksler | TR DİZİN |
| Makale Dili | İngilizce |
| Basım Tarihi | 12-2022 |
| Sayı | 41 |
| Sayfalar | 82 / 93 |
| DOI Numarası | 10.53570/jnt.1182795 |
| Makale Linki | http://dx.doi.org/10.53570/jnt.1182795 |
| Özet |
| This paper investigates the sufficient conditions for the existence and uniqueness of a class of Riemann-Liouville fractional differential equations of variable order with fractional boundary conditions. The problem is converted into differential equations of constant orders by combining the concepts of generalized intervals and piecewise constant functions. We derive the required conditions for ensuring the uniqueness of the problem in order to utilize the Banach fixed point theorem. The stability of the obtained solution in the Ulam-Hyers-Rassias (UHR) sense is also investigated, and we finally provide an illustrative example. |
| Anahtar Kelimeler |
| Existence | uniqueness | stability | boundary value problems | fractional calculus |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| TRDizin | 1 |
| Google Scholar | 13 |