On System of Nonlinear Sequential Hybrid Fractional Differential Equations

On System of Nonlinear Sequential Hybrid Fractional Differential Equations

In this study, the existence and uniqueness of the solution for a system consisting of sequential fractional differential equations that contain Caputo–Hadamard (CH) derivative are verified. To study the existence and uniqueness of these solutions, some of the most important results from the fixed p...

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Veröffentlicht in:Mathematical problems in engineering 2022, Vol.2022, p.1-8
Hauptverfasser: Awadalla, Muath, Abuasbeh, Kinda
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Boundary value problems
Differential equations
Engineering
Fixed points (mathematics)
Fractional calculus
Growth models
Hybrid systems
Investigations
Mathematical analysis
Mathematical functions
Mathematics
Ordinary differential equations
Population growth
Uniqueness
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Beschreibung
Zusammenfassung:In this study, the existence and uniqueness of the solution for a system consisting of sequential fractional differential equations that contain Caputo–Hadamard (CH) derivative are verified. To study the existence and uniqueness of these solutions, some of the most important results from the fixed point theorems in Banach space were used. A practical example is also given to support the theoretical side that was obtained.
ISSN:1024-123X
1563-5147
DOI:10.1155/2022/8556578