In this paper, the Ulam-Hyers-Rassias stability is discussed and the existence and uniqueness of solutions for a class of implicit fractional $\psi$-Hilfer Langevin equation with impulse and time delay are investigated. A novel form of generalized Gronwall inequality is introduced. Picard operator theory is employed in authour’s analysis. An example will be given to support the validity of our findings.
Existence and uniqueness Generalized Gronwall inequality $\psi$-Hilfer Langevin equation Picard operator theory Ulam-Hyers-Rassias stability
There are no conflicts of interest, according to the authors.
No funding supporting.
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The authors appreciate the referee's thoughtful comments on the manuscript, which helped to improve it.
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Birincil Dil | İngilizce |
---|---|
Konular | Temel Matematik (Diğer) |
Bölüm | Articles |
Yazarlar | |
Proje Numarası | 1 |
Erken Görünüm Tarihi | 5 Haziran 2024 |
Yayımlanma Tarihi | 30 Haziran 2024 |
Gönderilme Tarihi | 24 Ocak 2024 |
Kabul Tarihi | 25 Mayıs 2024 |
Yayımlandığı Sayı | Yıl 2024 Cilt: 7 Sayı: 2 |
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