Certain inequalities involving generalized fractional k-integral operators

K. S. Nisar; M. Al-Dhaifallah; M. S. Abouzaid; P. Agarwal

doi:10.22436/jnsa.009.05.123

Certain inequalities involving generalized fractional k-integral operators

K. S. Nisar, M. Al-Dhaifallah, M. S. Abouzaid, P. Agarwal^*

^*Corresponding author for this work

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

Abstract

Recently, fractional k-integral operators have been investigated in the literature by some authors. Here, we focus to prove some new fractional integral inequalities involving generalized fractional k-integral operator due to Sarikaya et al. for the cases of synchronous functions as well as of functions bounded by integrable functions are considered.

Original language	English
Pages (from-to)	3376-3387
Number of pages	12
Journal	Journal of Nonlinear Science and Applications
Volume	9
Issue number	5
DOIs	https://doi.org/10.22436/jnsa.009.05.123
State	Published - 2016
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2016 All rights reserved.

Keywords

Coincidence point
Common fixed point
Contraction
Implicit relation
Partial metric space

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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10.22436/jnsa.009.05.123

Cite this

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title = "Certain inequalities involving generalized fractional k-integral operators",

abstract = "Recently, fractional k-integral operators have been investigated in the literature by some authors. Here, we focus to prove some new fractional integral inequalities involving generalized fractional k-integral operator due to Sarikaya et al. for the cases of synchronous functions as well as of functions bounded by integrable functions are considered.",

keywords = "Coincidence point, Common fixed point, Contraction, Implicit relation, Partial metric space",

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year = "2016",

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AU - Nisar, K. S.

AU - Al-Dhaifallah, M.

AU - Abouzaid, M. S.

AU - Agarwal, P.

PY - 2016

Y1 - 2016

N2 - Recently, fractional k-integral operators have been investigated in the literature by some authors. Here, we focus to prove some new fractional integral inequalities involving generalized fractional k-integral operator due to Sarikaya et al. for the cases of synchronous functions as well as of functions bounded by integrable functions are considered.

AB - Recently, fractional k-integral operators have been investigated in the literature by some authors. Here, we focus to prove some new fractional integral inequalities involving generalized fractional k-integral operator due to Sarikaya et al. for the cases of synchronous functions as well as of functions bounded by integrable functions are considered.

KW - Coincidence point

KW - Common fixed point

KW - Contraction

KW - Implicit relation

KW - Partial metric space

UR - https://www.scopus.com/pages/publications/84969731110

U2 - 10.22436/jnsa.009.05.123

DO - 10.22436/jnsa.009.05.123

M3 - Article

AN - SCOPUS:84969731110

SN - 2008-1898

VL - 9

SP - 3376

EP - 3387

JO - Journal of Nonlinear Science and Applications

JF - Journal of Nonlinear Science and Applications

IS - 5

ER -

Certain inequalities involving generalized fractional k-integral operators

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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