Öz
Kaynakça
- [1] M. I. Abbas, Investigation of Langevin equation in terms of generalized proportional fractional derivatives with respect to another function. Filomat. 35(12), 4073-4085, 2021.
Existence and stability analysis for Φ-Caputo generalized proportional fractional differential Langevin equation
Öz
This paper aims to investigate the existence, uniquness and stability results for a new class
of Φ-Caputo generalized proportional fractional GPF differential Langevin equation. We
present and discuss some of the characteristics of the generalized proportional fractional
derivative. By making use of Krasnoselskii fixed point theorem and the Banach contraction
principle, we established the existence and uniqueness results and also we investigate
different kinds of stability such as Ulam-Hyers and generalized Ulam-Hyers stability. As
application, we give an example to demonstrate our theoretical result
Anahtar Kelimeler
Φ-Caputo generalized proportional fractional derivative Φ-Caputo fractional differential Langevin equations Fixed point theorems Ulam-Hyers stability
Kaynakça
- [1] M. I. Abbas, Investigation of Langevin equation in terms of generalized proportional fractional derivatives with respect to another function. Filomat. 35(12), 4073-4085, 2021.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Uygulamalı Matematik (Diğer) |
| Bölüm | Matematik |
| Yazarlar | |
| Erken Görünüm Tarihi | 11 Nisan 2025 |
| Yayımlanma Tarihi | |
| Gönderilme Tarihi | 20 Mayıs 2024 |
| Kabul Tarihi | 18 Kasım 2024 |
| Yayımlandığı Sayı | Yıl 2025 Erken Görünüm |