A fractional differential inequality with application

Khaled M. Furati

doi:10.1016/j.na.2011.03.027

A fractional differential inequality with application

Khaled M. Furati

Department of Mathematics

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

3 Scopus citations

Abstract

We establish a fractional differential inequality using desingularization techniques combined with some generalizations of algebraic Bihari-type inequalities. We use this inequality to prove global existence and determine the asymptotic behavior of solutions for a family of fractional differential equations.

Original language	English
Pages (from-to)	4330-4337
Number of pages	8
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	74
Issue number	13
DOIs	https://doi.org/10.1016/j.na.2011.03.027
State	Published - Sep 2011

Bibliographical note

Funding Information:
The author is grateful for the support provided by King Fahd University of Petroleum & Minerals under research grant FT080014 and the financial support by BAE Systems through the PDSR program of the British Council in Saudi Arabia.

Keywords

Bihari inequality
Fractional differential inequality
Ou-Iang inequality
Power-type decay

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.na.2011.03.027

Cite this

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title = "A fractional differential inequality with application",

abstract = "We establish a fractional differential inequality using desingularization techniques combined with some generalizations of algebraic Bihari-type inequalities. We use this inequality to prove global existence and determine the asymptotic behavior of solutions for a family of fractional differential equations.",

keywords = "Bihari inequality, Fractional differential inequality, Ou-Iang inequality, Power-type decay",

author = "Furati, \{Khaled M.\}",

note = "Funding Information: The author is grateful for the support provided by King Fahd University of Petroleum \& Minerals under research grant FT080014 and the financial support by BAE Systems through the PDSR program of the British Council in Saudi Arabia.",

year = "2011",

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doi = "10.1016/j.na.2011.03.027",

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journal = "Nonlinear Analysis, Theory, Methods and Applications",

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T1 - A fractional differential inequality with application

AU - Furati, Khaled M.

N1 - Funding Information: The author is grateful for the support provided by King Fahd University of Petroleum & Minerals under research grant FT080014 and the financial support by BAE Systems through the PDSR program of the British Council in Saudi Arabia.

PY - 2011/9

Y1 - 2011/9

N2 - We establish a fractional differential inequality using desingularization techniques combined with some generalizations of algebraic Bihari-type inequalities. We use this inequality to prove global existence and determine the asymptotic behavior of solutions for a family of fractional differential equations.

AB - We establish a fractional differential inequality using desingularization techniques combined with some generalizations of algebraic Bihari-type inequalities. We use this inequality to prove global existence and determine the asymptotic behavior of solutions for a family of fractional differential equations.

KW - Bihari inequality

KW - Fractional differential inequality

KW - Ou-Iang inequality

KW - Power-type decay

UR - https://www.scopus.com/pages/publications/79957571055

U2 - 10.1016/j.na.2011.03.027

DO - 10.1016/j.na.2011.03.027

M3 - Article

AN - SCOPUS:79957571055

SN - 0362-546X

VL - 74

SP - 4330

EP - 4337

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 13

ER -

A fractional differential inequality with application

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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