The C?dariu-Radu Method for Existence, Uniqueness and Gauss Hypergeometric Stability of ?-Hilfer Fractional Differential Equations

Safoura Rezaei Aderyani, Reza Saadati and Michal Fečkan
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Safoura Rezaei Aderyani: School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 1311416846, Iran
Reza Saadati: School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 1311416846, Iran
Michal Fečkan: Department of Mathematical Analysis and Numerical Mathematics, Comenius University in Bratislava, Mlynská dolina, 84248 Bratislava, Slovakia

Mathematics, 2021, vol. 9, issue 12, 1-10

Abstract: Using the C?dariu–Radu method derived from the Diaz–Margolis theorem, we study the existence, uniqueness and Gauss hypergeometric stability of ?-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; ?-Hilfer fractional differential equations; Diaz–Margolis theorem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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