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Nonexistence Results for a System of Nonlinear Fractional Integrodifferential Equations

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Ukrainian Mathematical Journal Aims and scope

We study the nonexistence of (nontrivial) global solutions for a system of nonlinear fractional equations. Each equation involves n fractional derivatives, a subfirst-order ordinary derivative, and a nonlinear source term. The fractional derivatives are of the Caputo type and their order lies between 0 and 1. The nonlinear sources have the form of the convolution of a function of state with (possibly singular) kernel. We generalize the results available in the literature, in particular, the results obtained by Mennouni and Youkana [Electron. J. Different. Equat., 152, 1–15 (2017)] and Ahmad and Tatar [Turkish J. Math., 43, 2715–2730 (2019)].

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Authors and Affiliations

  1. King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia

    A. Mugbil

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  1. A. Mugbil
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, No. 4, pp. 478–490, April, 2023. Ukrainian DOI: https://doi.org/10.37863/umzh.v75i4.6902.

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Mugbil, A. Nonexistence Results for a System of Nonlinear Fractional Integrodifferential Equations. Ukr Math J 75, 547–561 (2023). https://doi.org/10.1007/s11253-023-02216-4

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  • DOI: https://doi.org/10.1007/s11253-023-02216-4

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