Nonexistence of global solutions to system of semi-linear fractional evolution equations

Medjahed Djilali; Ali Hakem

doi:10.32323/ujma.396407

EN

Nonexistence of global solutions to system of semi-linear fractional evolution equations

Abstract

In this research we are interested to Cauchy problem for system of semi-linear fractional evolution equations. Some authors were concerned with studying of global existence of solutions for the hyperbolic nonlinear equations with a damping term. Our goal is to extend some results obtained by the authors, by studying the system of semi-linear hyperbolic equations with fractional damping term and fractional Laplacian .Thanks to the test functions method, we prove the nonexistence of nontrivial global weak solutions to the problem.

Keywords

Derivatives in the sense of Caputo,Fractional Laplacian,Fujita's critical exponent,Test function,Weak solution

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Medjahed Djilali ^*
Department of Mathematics, Djillali Liabes University, Sidi-Bel-Abbes-22000, ALGERIA
Algeria

Ali Hakem
Algeria

Publication Date

September 30, 2018

Submission Date

February 19, 2018

Acceptance Date

May 10, 2018

Published in Issue

Year 2018 Volume: 1 Number: 3

DOI

https://doi.org/10.32323/ujma.396407

IZ

https://izlik.org/JA63ET26HA

APA

Djilali, M., & Hakem, A. (2018). Nonexistence of global solutions to system of semi-linear fractional evolution equations. Universal Journal of Mathematics and Applications, 1(3), 171-177. https://doi.org/10.32323/ujma.396407

AMA

1.Djilali M, Hakem A. Nonexistence of global solutions to system of semi-linear fractional evolution equations. Univ. J. Math. Appl. 2018;1(3):171-177. doi:10.32323/ujma.396407

Chicago

Djilali, Medjahed, and Ali Hakem. 2018. “Nonexistence of Global Solutions to System of Semi-Linear Fractional Evolution Equations”. Universal Journal of Mathematics and Applications 1 (3): 171-77. https://doi.org/10.32323/ujma.396407.

EndNote

Djilali M, Hakem A (September 1, 2018) Nonexistence of global solutions to system of semi-linear fractional evolution equations. Universal Journal of Mathematics and Applications 1 3 171–177.

IEEE

[1]M. Djilali and A. Hakem, “Nonexistence of global solutions to system of semi-linear fractional evolution equations”, Univ. J. Math. Appl., vol. 1, no. 3, pp. 171–177, Sept. 2018, doi: 10.32323/ujma.396407.

ISNAD

Djilali, Medjahed - Hakem, Ali. “Nonexistence of Global Solutions to System of Semi-Linear Fractional Evolution Equations”. Universal Journal of Mathematics and Applications 1/3 (September 1, 2018): 171-177. https://doi.org/10.32323/ujma.396407.

JAMA

1.Djilali M, Hakem A. Nonexistence of global solutions to system of semi-linear fractional evolution equations. Univ. J. Math. Appl. 2018;1:171–177.

MLA

Djilali, Medjahed, and Ali Hakem. “Nonexistence of Global Solutions to System of Semi-Linear Fractional Evolution Equations”. Universal Journal of Mathematics and Applications, vol. 1, no. 3, Sept. 2018, pp. 171-7, doi:10.32323/ujma.396407.

Vancouver

1.Medjahed Djilali, Ali Hakem. Nonexistence of global solutions to system of semi-linear fractional evolution equations. Univ. J. Math. Appl. 2018 Sep. 1;1(3):171-7. doi:10.32323/ujma.396407