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

^*Corresponding author for this work

Mathematics

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

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	English
Article number	2250009
Journal	Bulletin of Mathematical Sciences
Volume	13
Issue number	2
DOIs	https://doi.org/10.1142/S1664360722500096
Publication status	Published - Aug 1 2023

Keywords

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

ASJC Scopus subject areas

General Mathematics

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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 - Kirane, Mokhtar

AU - Fino, Ahmad Z.

AU - Ahmad, Bashir

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

Abstract

Keywords

ASJC Scopus subject areas

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