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Ulam-Hyers Stability for Cauchy Fractional Differential Equation in the Unit Disk

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  • Rabha W. Ibrahim

Abstract

We prove the Ulam-Hyers stability of Cauchy fractional differential equations in the unit disk for the linear and non-linear cases. The fractional operators are taken in sense of Srivastava-Owa operators.

Suggested Citation

  • Rabha W. Ibrahim, 2012. "Ulam-Hyers Stability for Cauchy Fractional Differential Equation in the Unit Disk," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-10, July.
    • Handle: RePEc:hin:jnlaaa:613270
    DOI: 10.1155/2012/613270
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    Cited by:

    1. Nazar Khan & Shahid Khan & Qin Xin & Fairouz Tchier & Sarfraz Nawaz Malik & Umer Javed, 2023. "Some Applications of Analytic Functions Associated with q -Fractional Operator," Mathematics, MDPI, vol. 11(4), pages 1-17, February.
    2. Qun Dai & Yunying Zhang, 2023. "Stability of Nonlinear Implicit Differential Equations with Caputo–Katugampola Fractional Derivative," Mathematics, MDPI, vol. 11(14), pages 1-12, July.

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