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Volume 9
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10.3390/math9121408
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Article

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

by
Safoura Rezaei Aderyani
1,
Reza Saadati
1,* and
Michal Fečkan
2,*
1
School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 1311416846, Iran
2
Department of Mathematical Analysis and Numerical Mathematics, Comenius University in Bratislava, Mlynská dolina, 84248 Bratislava, Slovakia
*
Authors to whom correspondence should be addressed.
Mathematics 2021, 9(12), 1408; https://doi.org/10.3390/math9121408
Submission received: 20 May 2021 / Revised: 11 June 2021 / Accepted: 15 June 2021 / Published: 17 June 2021
(This article belongs to the Special Issue Qualitative Theory of Fractional-Order Systems)
Versions Notes

Abstract

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.
Keywords: hypergeometric control function; stability; Ω-Hilfer fractional differential equations; Diaz–Margolis theorem hypergeometric control function; stability; Ω-Hilfer fractional differential equations; Diaz–Margolis theorem

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MDPI and ACS Style

Aderyani, S.R.; Saadati, R.; Fečkan, M. The Cădariu-Radu Method for Existence, Uniqueness and Gauss Hypergeometric Stability of Ω-Hilfer Fractional Differential Equations. Mathematics 2021, 9, 1408. https://doi.org/10.3390/math9121408

AMA Style

Aderyani SR, Saadati R, Fečkan M. The Cădariu-Radu Method for Existence, Uniqueness and Gauss Hypergeometric Stability of Ω-Hilfer Fractional Differential Equations. Mathematics. 2021; 9(12):1408. https://doi.org/10.3390/math9121408

Chicago/Turabian Style

Aderyani, Safoura Rezaei, Reza Saadati, and Michal Fečkan. 2021. "The Cădariu-Radu Method for Existence, Uniqueness and Gauss Hypergeometric Stability of Ω-Hilfer Fractional Differential Equations" Mathematics 9, no. 12: 1408. https://doi.org/10.3390/math9121408

APA Style

Aderyani, S. R., Saadati, R., & Fečkan, M. (2021). The Cădariu-Radu Method for Existence, Uniqueness and Gauss Hypergeometric Stability of Ω-Hilfer Fractional Differential Equations. Mathematics, 9(12), 1408. https://doi.org/10.3390/math9121408

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