On blowing-up solutions for multi–time nonlinear hyperbolic equations and systems

B. Ahmad; A. Alsaedi; E. Cuesta; M. Kirane

doi:10.2298/FIL1709599A

On blowing-up solutions for multi–time nonlinear hyperbolic equations and systems

B. Ahmad, A. Alsaedi, E. Cuesta, M. Kirane

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

For a two–dimensional time nonlinear hyperbolic equation with a power nonlinearity, a threshold exponent depending on the space dimension is presented. Furthermore, the analysis is extended not only to a system of two equations but also to a two–time fractional nonlinear equation with different time order derivatives.

Original language	British English
Pages (from-to)	2599-2609
Number of pages	11
Journal	Filomat
Volume	31
Issue number	9
DOIs	https://doi.org/10.2298/FIL1709599A
State	Published - 2017

Keywords

Fractional derivative
Nonexistence of global solutions
Nonlinear capacity
Two times hyperbolic equations

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10.2298/FIL1709599A

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title = "On blowing-up solutions for multi–time nonlinear hyperbolic equations and systems",

abstract = "For a two–dimensional time nonlinear hyperbolic equation with a power nonlinearity, a threshold exponent depending on the space dimension is presented. Furthermore, the analysis is extended not only to a system of two equations but also to a two–time fractional nonlinear equation with different time order derivatives.",

keywords = "Fractional derivative, Nonexistence of global solutions, Nonlinear capacity, Two times hyperbolic equations",

author = "B. Ahmad and A. Alsaedi and E. Cuesta and M. Kirane",

note = "Funding Information: The research of the third author is supported by Ministerio de Econom{\'i}a y Competitividad under grant MTM2014- 54710-P. Publisher Copyright: {\textcopyright} 2017, University of Nis. All rights reserved.",

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AU - Ahmad, B.

AU - Alsaedi, A.

AU - Cuesta, E.

AU - Kirane, M.

N1 - Funding Information: The research of the third author is supported by Ministerio de Economía y Competitividad under grant MTM2014- 54710-P. Publisher Copyright: © 2017, University of Nis. All rights reserved.

PY - 2017

Y1 - 2017

N2 - For a two–dimensional time nonlinear hyperbolic equation with a power nonlinearity, a threshold exponent depending on the space dimension is presented. Furthermore, the analysis is extended not only to a system of two equations but also to a two–time fractional nonlinear equation with different time order derivatives.

AB - For a two–dimensional time nonlinear hyperbolic equation with a power nonlinearity, a threshold exponent depending on the space dimension is presented. Furthermore, the analysis is extended not only to a system of two equations but also to a two–time fractional nonlinear equation with different time order derivatives.

KW - Fractional derivative

KW - Nonexistence of global solutions

KW - Nonlinear capacity

KW - Two times hyperbolic equations

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DO - 10.2298/FIL1709599A

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AN - SCOPUS:85017584579

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JO - Filomat

JF - Filomat

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On blowing-up solutions for multi–time nonlinear hyperbolic equations and systems

Abstract

Keywords

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