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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Safoura Rezaei Aderyani & Reza Saadati & Michal Fečkan, 2021. "The Cădariu-Radu Method for Existence, Uniqueness and Gauss Hypergeometric Stability of Ω-Hilfer Fractional Differential Equations," Mathematics, MDPI, vol. 9(12), pages 1-10, June.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:12:p:1408-:d:576674
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    References listed on IDEAS

    as
    1. Jinghao Huang & Yongjin Li, 2016. "Hyers–Ulam stability of delay differential equations of first order," Mathematische Nachrichten, Wiley Blackwell, vol. 289(1), pages 60-66, January.
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