Inequalities for fractional differential equations

K. M. Furati; N. E. Tatar

doi:10.7153/mia-12-23

Inequalities for fractional differential equations

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

10 Scopus citations

Abstract

We consider some differential inequalities involving fractional derivatives in the sense of Riemann-Liouville. Bounds for theses fractional differential inequalities are found using desingularization techniques combined with some generalizations of Bihari-type inequalities. Some applications illustrating the usefulness of our results are also provided.

Original language	English
Pages (from-to)	279-293
Number of pages	15
Journal	Mathematical Inequalities and Applications
Volume	12
Issue number	2
DOIs	https://doi.org/10.7153/mia-12-23
State	Published - Apr 2009

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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title = "Inequalities for fractional differential equations",

abstract = "We consider some differential inequalities involving fractional derivatives in the sense of Riemann-Liouville. Bounds for theses fractional differential inequalities are found using desingularization techniques combined with some generalizations of Bihari-type inequalities. Some applications illustrating the usefulness of our results are also provided.",

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

year = "2009",

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T1 - Inequalities for fractional differential equations

AU - Furati, K. M.

AU - Tatar, N. E.

PY - 2009/4

Y1 - 2009/4

N2 - We consider some differential inequalities involving fractional derivatives in the sense of Riemann-Liouville. Bounds for theses fractional differential inequalities are found using desingularization techniques combined with some generalizations of Bihari-type inequalities. Some applications illustrating the usefulness of our results are also provided.

AB - We consider some differential inequalities involving fractional derivatives in the sense of Riemann-Liouville. Bounds for theses fractional differential inequalities are found using desingularization techniques combined with some generalizations of Bihari-type inequalities. Some applications illustrating the usefulness of our results are also provided.

UR - https://www.scopus.com/pages/publications/66349103929

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DO - 10.7153/mia-12-23

M3 - Article

AN - SCOPUS:66349103929

SN - 1331-4343

VL - 12

SP - 279

EP - 293

JO - Mathematical Inequalities and Applications

JF - Mathematical Inequalities and Applications

IS - 2

ER -

Inequalities for fractional differential equations

Abstract

ASJC Scopus subject areas

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