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Sufficient Criteria for the Absence of Global Solutions for an Inhomogeneous System of Fractional Differential Equations

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  • Mohamed Jleli

    (Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia)

  • Bessem Samet

    (Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia)

Abstract

A nonlinear inhomogeneous system of fractional differential equations is investigated. Namely, sufficient criteria are obtained so that the considered system has no global solutions. Furthermore, an example is provided to show the effect of the inhomogeneous terms on the blow-up of solutions. Our results are extensions of those obtained by Furati and Kirane (2008) in the homogeneous case.

Suggested Citation

  • Mohamed Jleli & Bessem Samet, 2019. "Sufficient Criteria for the Absence of Global Solutions for an Inhomogeneous System of Fractional Differential Equations," Mathematics, MDPI, vol. 8(1), pages 1-8, December.
    • Handle: RePEc:gam:jmathe:v:8:y:2019:i:1:p:9-:d:299656
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    References listed on IDEAS

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    1. ,, 2001. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 17(6), pages 1157-1160, December.
    2. Scalas, Enrico & Gorenflo, Rudolf & Mainardi, Francesco, 2000. "Fractional calculus and continuous-time finance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 284(1), pages 376-384.
    3. ,, 2001. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 17(5), pages 1025-1031, October.
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