New bounds for solutions of a singular integro-differential inequality

Said Mazouzi; Nasser Eddine Tatar

doi:10.7153/mia-13-32

New bounds for solutions of a singular integro-differential inequality

Said Mazouzi^*
, Nasser Eddine Tatar

^*Corresponding author for this work

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

9 Scopus citations

Abstract

New bounds for solutions of an integro-differential inequality with weakly singular kernel are established using a weighted version of the Hardy-Littlewood-Sobolev inequality. Besides, some applications to real world problems are presented.

Original language	English
Pages (from-to)	427-435
Number of pages	9
Journal	Mathematical Inequalities and Applications
Volume	13
Issue number	2
DOIs	https://doi.org/10.7153/mia-13-32
State	Published - Apr 2010

Keywords

Analytic semigroup
Hardy-littlewood-sobolev inequality
Integrodifferential inequality
Weakly singular kernel

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.7153/mia-13-32

Cite this

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title = "New bounds for solutions of a singular integro-differential inequality",

abstract = "New bounds for solutions of an integro-differential inequality with weakly singular kernel are established using a weighted version of the Hardy-Littlewood-Sobolev inequality. Besides, some applications to real world problems are presented.",

keywords = "Analytic semigroup, Hardy-littlewood-sobolev inequality, Integrodifferential inequality, Weakly singular kernel",

author = "Said Mazouzi and Tatar, \{Nasser Eddine\}",

year = "2010",

month = apr,

doi = "10.7153/mia-13-32",

language = "English",

volume = "13",

pages = "427--435",

journal = "Mathematical Inequalities and Applications",

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AU - Mazouzi, Said

AU - Tatar, Nasser Eddine

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N2 - New bounds for solutions of an integro-differential inequality with weakly singular kernel are established using a weighted version of the Hardy-Littlewood-Sobolev inequality. Besides, some applications to real world problems are presented.

AB - New bounds for solutions of an integro-differential inequality with weakly singular kernel are established using a weighted version of the Hardy-Littlewood-Sobolev inequality. Besides, some applications to real world problems are presented.

KW - Analytic semigroup

KW - Hardy-littlewood-sobolev inequality

KW - Integrodifferential inequality

KW - Weakly singular kernel

UR - https://www.scopus.com/pages/publications/77952619825

U2 - 10.7153/mia-13-32

DO - 10.7153/mia-13-32

M3 - Article

AN - SCOPUS:77952619825

SN - 1331-4343

VL - 13

SP - 427

EP - 435

JO - Mathematical Inequalities and Applications

JF - Mathematical Inequalities and Applications

IS - 2

ER -

New bounds for solutions of a singular integro-differential inequality

Abstract

Keywords

ASJC Scopus subject areas

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