Nonlinear fractional differential equations of Sobolev type

Ahmed Alsaedi; Mohammed S. Alhothuali; Bashir Ahmad; Sebti Kerbal; Mokhtar Kirane

doi:10.1002/mma.2954

Nonlinear fractional differential equations of Sobolev type

Ahmed Alsaedi, Mohammed S. Alhothuali, Bashir Ahmad, Sebti Kerbal, Mokhtar Kirane

Mathematics

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

15 Scopus citations

Abstract

Sobolev type nonlinear equations with time fractional derivatives are considered. Using the test function method, limiting exponents for nonexistence of solutions are found.

Original language	British English
Pages (from-to)	2009-2016
Number of pages	8
Journal	Mathematical Methods in the Applied Sciences
Volume	37
Issue number	13
DOIs	https://doi.org/10.1002/mma.2954
State	Published - Jul 2014

Keywords

nonexistence
Nonlinear equations of Sobolev type
nonlocal space operators
nonlocal time operators

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10.1002/mma.2954

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title = "Nonlinear fractional differential equations of Sobolev type",

abstract = "Sobolev type nonlinear equations with time fractional derivatives are considered. Using the test function method, limiting exponents for nonexistence of solutions are found.",

keywords = "nonexistence, Nonlinear equations of Sobolev type, nonlocal space operators, nonlocal time operators",

author = "Ahmed Alsaedi and Alhothuali, {Mohammed S.} and Bashir Ahmad and Sebti Kerbal and Mokhtar Kirane",

year = "2014",

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pages = "2009--2016",

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T1 - Nonlinear fractional differential equations of Sobolev type

AU - Alsaedi, Ahmed

AU - Alhothuali, Mohammed S.

AU - Ahmad, Bashir

AU - Kerbal, Sebti

AU - Kirane, Mokhtar

PY - 2014/7

Y1 - 2014/7

N2 - Sobolev type nonlinear equations with time fractional derivatives are considered. Using the test function method, limiting exponents for nonexistence of solutions are found.

AB - Sobolev type nonlinear equations with time fractional derivatives are considered. Using the test function method, limiting exponents for nonexistence of solutions are found.

KW - nonexistence

KW - Nonlinear equations of Sobolev type

KW - nonlocal space operators

KW - nonlocal time operators

UR - http://www.scopus.com/inward/record.url?scp=84904751991&partnerID=8YFLogxK

U2 - 10.1002/mma.2954

DO - 10.1002/mma.2954

M3 - Article

AN - SCOPUS:84904751991

SN - 0170-4214

VL - 37

SP - 2009

EP - 2016

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 13

ER -

Nonlinear fractional differential equations of Sobolev type

Abstract

Keywords

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