Cauchy problem for some fractional nonlinear ultra-parabolic equations

Fatma Al-Musalhi; Sebti Kerbal

Cauchy problem for some fractional nonlinear ultra-parabolic equations

Fatma Al-Musalhi, Sebti Kerbal

Mathematics

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

Abstract

Blowing-up solutions to nonlocal nonlinear ultra-parabolic equations is presented. The obtained results will contribute in the development of ultra-parabolic equations and enrich the existing non-extensive literature on fractional nonlinear ultra-parabolic problems. Our method of proof relies on a suitable choice of a test function and the weak formulation approach of the sought for solutions.

Original language	English
Article number	172
Journal	Electronic Journal of Differential Equations
Volume	2016
Publication status	Published - Jul 5 2016

Keywords

Nonexistence
Nonlinear ultra-parabolic equations
Nonlocal space and time operators

ASJC Scopus subject areas

Analysis

Cite this

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title = "Cauchy problem for some fractional nonlinear ultra-parabolic equations",

abstract = "Blowing-up solutions to nonlocal nonlinear ultra-parabolic equations is presented. The obtained results will contribute in the development of ultra-parabolic equations and enrich the existing non-extensive literature on fractional nonlinear ultra-parabolic problems. Our method of proof relies on a suitable choice of a test function and the weak formulation approach of the sought for solutions.",

keywords = "Nonexistence, Nonlinear ultra-parabolic equations, Nonlocal space and time operators",

author = "Fatma Al-Musalhi and Sebti Kerbal",

note = "Publisher Copyright: {\textcopyright} 2016 Texas State University.",

year = "2016",

month = jul,

day = "5",

language = "English",

volume = "2016",

journal = "Electronic Journal of Differential Equations",

issn = "1072-6691",

publisher = "Texas State University - San Marcos",

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T1 - Cauchy problem for some fractional nonlinear ultra-parabolic equations

AU - Al-Musalhi, Fatma

AU - Kerbal, Sebti

PY - 2016/7/5

Y1 - 2016/7/5

N2 - Blowing-up solutions to nonlocal nonlinear ultra-parabolic equations is presented. The obtained results will contribute in the development of ultra-parabolic equations and enrich the existing non-extensive literature on fractional nonlinear ultra-parabolic problems. Our method of proof relies on a suitable choice of a test function and the weak formulation approach of the sought for solutions.

AB - Blowing-up solutions to nonlocal nonlinear ultra-parabolic equations is presented. The obtained results will contribute in the development of ultra-parabolic equations and enrich the existing non-extensive literature on fractional nonlinear ultra-parabolic problems. Our method of proof relies on a suitable choice of a test function and the weak formulation approach of the sought for solutions.

KW - Nonexistence

KW - Nonlinear ultra-parabolic equations

KW - Nonlocal space and time operators

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M3 - Article

AN - SCOPUS:84978536010

SN - 1072-6691

VL - 2016

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

M1 - 172

ER -

Cauchy problem for some fractional nonlinear ultra-parabolic equations

Abstract

Keywords

ASJC Scopus subject areas

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