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Open AccessArticle

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

Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
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Mathematics 2020, 8(1), 9; https://doi.org/10.3390/math8010009
Received: 23 October 2019 / Revised: 11 December 2019 / Accepted: 17 December 2019 / Published: 19 December 2019
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. View Full-Text
Keywords: absence of global solutions; inhomogeneous system; fractional differential equations absence of global solutions; inhomogeneous system; fractional differential equations
MDPI and ACS Style

Jleli, M.; Samet, B. Sufficient Criteria for the Absence of Global Solutions for an Inhomogeneous System of Fractional Differential Equations. Mathematics 2020, 8, 9. https://doi.org/10.3390/math8010009

AMA Style

Jleli M, Samet B. Sufficient Criteria for the Absence of Global Solutions for an Inhomogeneous System of Fractional Differential Equations. Mathematics. 2020; 8(1):9. https://doi.org/10.3390/math8010009

Chicago/Turabian Style

Jleli, Mohamed; Samet, Bessem. 2020. "Sufficient Criteria for the Absence of Global Solutions for an Inhomogeneous System of Fractional Differential Equations" Mathematics 8, no. 1: 9. https://doi.org/10.3390/math8010009

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