On the Φ-tempered fractional differential systems of Riemann--Liouville type

On the Φ-tempered fractional differential systems of Riemann--Liouville type

This work investigates the existence of solutions for Φ -tempered fractional differential systems. Schauder’s and Banach’s fixed point theorems are applied to obtain some existence results. Next, the stability in Ulam–Hyers sense are discussed. Finally, the validity of our results is illustrated thr...

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Veröffentlicht in:The Journal of Analysis 2024-06, Vol.32 (3), p.1487-1506
Hauptverfasser: Ziane, Mohamed, Zentar, Oualid, Al Horani, Mohammed
Format: Artikel
Sprache:eng
Schlagworte:
Abstract Harmonic Analysis
Analysis
Fourier Analysis
Functional Analysis
Mathematics
Mathematics and Statistics
Measure and Integration
Original Research Paper
Special Functions
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Beschreibung
Zusammenfassung:This work investigates the existence of solutions for Φ -tempered fractional differential systems. Schauder’s and Banach’s fixed point theorems are applied to obtain some existence results. Next, the stability in Ulam–Hyers sense are discussed. Finally, the validity of our results is illustrated through some examples.
ISSN:0971-3611
2367-2501
DOI:10.1007/s41478-023-00686-0