A study of a coupled system of Hadamard fractional differential equations with nonlocal coupled initial-multipoint conditions

A study of a coupled system of Hadamard fractional differential equations with nonlocal coupled initial-multipoint conditions

In this paper, we obtain the existence results for a coupled system of Hadamard fractional differential equations supplemented with nonlocal coupled initial-multipoint conditions via fixed point theorems. An example is constructed for the illustration of the uniqueness result.

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Veröffentlicht in:Advances in difference equations 2021-01, Vol.2021 (1), p.1-16, Article 33
Hauptverfasser: Ahmad, Bashir, Ntouyas, Sotiris K., Alsaedi, Ahmed, Albideewi, Amjad F.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Difference and Functional Equations
Differential equations
Existence
Fixed point theorems
Fixed points (mathematics)
Functional Analysis
Hadamard fractional derivative
Hadamard fractional integral
Mathematical analysis
Mathematics
Mathematics and Statistics
Nonlocal conditions
Ordinary Differential Equations
Partial Differential Equations
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Zusammenfassung:In this paper, we obtain the existence results for a coupled system of Hadamard fractional differential equations supplemented with nonlocal coupled initial-multipoint conditions via fixed point theorems. An example is constructed for the illustration of the uniqueness result.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-020-03198-4