Lyapunov stability and solvability of nonlocal fractional differential equations with generalized katugampola derivative
Yazarlar (6)
Mohammed Said Souid
Saveetha School of Engineering, Hindistan
Saveetha School of Engineering, Hindistan
Zoubida Bouazza Université Ibn-Khaldoun Tiaret, Cezayir
Doç. Dr. Hatıra GÜNERHAN Kafkas Üniversitesi, Türkiye
Kadda Maazouz Université Ibn-Khaldoun Tiaret, Cezayir
Bensaid M’Hamed
Meraa Arab King Faisal University, Suudi Arabistan
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | AIMS Mathematics (Q1) | ||
| Dergi ISSN | 2473-6988 Dergi Bilgileri (2026) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | Türkçe | Basım Tarihi | 06-2026 |
| Cilt / Sayı / Sayfa | 11 / 6 / 17766–17793 | DOI | 10.3934/math.2026724 |
| Makale Linki | https://doi.org/10.3934/math.2026724 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| This paper investigates a class of fractional differential equations (FDEs) that involve the generalized Katugampola fractional derivative (FD) subject to nonlocal boundary conditions. By transforming the considered boundary value problems (BVPs) into equivalent integral equations, we establish several results concerning the existence and uniqueness of solutions. The analysis is carried out using classical fixed point (FP) techniques, including the Banach contraction principle (BC), as well as Schaefer’s FP theorems under appropriate assumptions. In addition, we examine the Lyapunov stability of nontrivial solutions and derive sufficient conditions to ensure asymptotic stability. The obtained results extend and complement the existing contributions in the literature on fractional BVPs with nonlocal conditions. Finally, illustrative examples are provided to demonstrate the applicability of the theoretical findings. |
| Anahtar Kelimeler |
| uygulamalı matematik |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 1 |
| Scopus | 1 |