Some fractional differential inequalities and their applications

K. M. Furati; N. E. Tatar

doi:10.7153/mia-09-53

Some fractional differential inequalities and their applications

K. M. Furati^*
, N. E. Tatar

^*Corresponding author for this work

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

5 Scopus citations

Abstract

We consider some inequalities involving derivatives of non-integer order. These inequalities arise naturally when investigating differential equations of fractional order. We find some bounds for solutions of these inequalities and give some applications.

Original language	English
Pages (from-to)	577-598
Number of pages	22
Journal	Mathematical Inequalities and Applications
Volume	9
Issue number	4
DOIs	https://doi.org/10.7153/mia-09-53
State	Published - Oct 2006

Keywords

Bihari-Gronwall inequality
Differential inequalities
Fractional differential inequalities
Integral inequalities
Riemann-Liouville fractional integral
Summable fractional derivative

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.7153/mia-09-53

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title = "Some fractional differential inequalities and their applications",

abstract = "We consider some inequalities involving derivatives of non-integer order. These inequalities arise naturally when investigating differential equations of fractional order. We find some bounds for solutions of these inequalities and give some applications.",

keywords = "Bihari-Gronwall inequality, Differential inequalities, Fractional differential inequalities, Integral inequalities, Riemann-Liouville fractional integral, Summable fractional derivative",

author = "Furati, \{K. M.\} and Tatar, \{N. E.\}",

year = "2006",

month = oct,

doi = "10.7153/mia-09-53",

language = "English",

volume = "9",

pages = "577--598",

journal = "Mathematical Inequalities and Applications",

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T1 - Some fractional differential inequalities and their applications

AU - Furati, K. M.

AU - Tatar, N. E.

PY - 2006/10

Y1 - 2006/10

N2 - We consider some inequalities involving derivatives of non-integer order. These inequalities arise naturally when investigating differential equations of fractional order. We find some bounds for solutions of these inequalities and give some applications.

AB - We consider some inequalities involving derivatives of non-integer order. These inequalities arise naturally when investigating differential equations of fractional order. We find some bounds for solutions of these inequalities and give some applications.

KW - Bihari-Gronwall inequality

KW - Differential inequalities

KW - Fractional differential inequalities

KW - Integral inequalities

KW - Riemann-Liouville fractional integral

KW - Summable fractional derivative

UR - https://www.scopus.com/pages/publications/33751265802

U2 - 10.7153/mia-09-53

DO - 10.7153/mia-09-53

M3 - Article

AN - SCOPUS:33751265802

SN - 1331-4343

VL - 9

SP - 577

EP - 598

JO - Mathematical Inequalities and Applications

JF - Mathematical Inequalities and Applications

IS - 4

ER -

Some fractional differential inequalities and their applications

Abstract

Keywords

ASJC Scopus subject areas

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