On nonexistence of solutions to some time space fractional evolution equations with transformed space argument

Ahmed Alsaedi; Mokhtar Kirane; Ahmad Z. Fino; Bashir Ahmad

doi:10.1142/S1664360722500096

On nonexistence of solutions to some time space fractional evolution equations with transformed space argument

Ahmed Alsaedi, Mokhtar Kirane, Ahmad Z. Fino, Bashir Ahmad

Mathematics

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

6 Scopus citations

Abstract

Some results on nonexistence of nontrivial solutions to some time and space fractional differential evolution equations with transformed space argument are obtained via the nonlinear capacity method. The analysis is then used for a 2 × 2 system of equations with transformed space arguments.

Original language	British English
Article number	2250009
Journal	Bulletin of Mathematical Sciences
DOIs	https://doi.org/10.1142/S1664360722500096
State	Accepted/In press - 2022

Keywords

Caputo fractional derivative
fractional Laplacian
nonexistence of solutions
Nonlinear evolution equations
space transformed argument

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10.1142/S1664360722500096

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title = "On nonexistence of solutions to some time space fractional evolution equations with transformed space argument",

abstract = "Some results on nonexistence of nontrivial solutions to some time and space fractional differential evolution equations with transformed space argument are obtained via the nonlinear capacity method. The analysis is then used for a 2 × 2 system of equations with transformed space arguments.",

keywords = "Caputo fractional derivative, fractional Laplacian, nonexistence of solutions, Nonlinear evolution equations, space transformed argument",

author = "Ahmed Alsaedi and Mokhtar Kirane and Fino, {Ahmad Z.} and Bashir Ahmad",

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AU - Alsaedi, Ahmed

AU - Kirane, Mokhtar

AU - Fino, Ahmad Z.

AU - Ahmad, Bashir

PY - 2022

Y1 - 2022

N2 - Some results on nonexistence of nontrivial solutions to some time and space fractional differential evolution equations with transformed space argument are obtained via the nonlinear capacity method. The analysis is then used for a 2 × 2 system of equations with transformed space arguments.

AB - Some results on nonexistence of nontrivial solutions to some time and space fractional differential evolution equations with transformed space argument are obtained via the nonlinear capacity method. The analysis is then used for a 2 × 2 system of equations with transformed space arguments.

KW - Caputo fractional derivative

KW - fractional Laplacian

KW - nonexistence of solutions

KW - Nonlinear evolution equations

KW - space transformed argument

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U2 - 10.1142/S1664360722500096

DO - 10.1142/S1664360722500096

M3 - Article

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SN - 1664-3607

JO - Bulletin of Mathematical Sciences

JF - Bulletin of Mathematical Sciences

M1 - 2250009

ER -

On nonexistence of solutions to some time space fractional evolution equations with transformed space argument

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Keywords

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