The Cădariu-Radu Method for Existence, Uniqueness and Gauss Hypergeometric Stability of Ω-Hilfer Fractional Differential Equations

Using the Cădariu–Radu method derived from the Diaz–Margolis theorem, we study the existence, uniqueness and Gauss hypergeometric stability of Ω-Hilfer fractional differential equations defined on compact domains. Next, we show the main results for unbounded domains. To illustrate the main result fo...

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Bibliographic Details
Published in:Mathematics (Basel) Vol. 9; no. 12; p. 1408
Main Authors: Aderyani, Safoura, Saadati, Reza, Fečkan, Michal
Format: Journal Article
Language:English
Published: Basel MDPI AG 01.06.2021
Subjects:
Diaz–Margolis theorem
Differential equations
Domains
Existence theorems
hypergeometric control function
Inequality
Mathematical analysis
Mathematics
Stability
Uniqueness
Ω-Hilfer fractional differential equations
ISSN:2227-7390, 2227-7390
Online Access:Get full text
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Summary:Using the Cădariu–Radu method derived from the Diaz–Margolis theorem, we study the existence, uniqueness and Gauss hypergeometric stability of Ω-Hilfer fractional differential equations defined on compact domains. Next, we show the main results for unbounded domains. To illustrate the main result for a fractional system, we present an example.
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ISSN:2227-7390
2227-7390
DOI:10.3390/math9121408