Certain Hadamard proportional fractional integral inequalities

Gauhar Rahman; Kottakkaran Sooppy Nisar; Thabet Abdeljawad

doi:10.3390/math8040504

Certain Hadamard proportional fractional integral inequalities

Gauhar Rahman
, Kottakkaran Sooppy Nisar
, Thabet Abdeljawad

Mathematics

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

29 Scopus citations

Abstract

In this present paper we study the non-local Hadmard proportional integrals recently proposed by Rahman et al. (Advances in Difference Equations, (2019) 2019:454) which containing exponential functions in their kernels. Then we establish certain new weighted fractional integral inequalities involving a family of n (n 2 N) positive functions by utilizing Hadamard proportional fractional integral operator. The inequalities presented in this paper are more general than the inequalities existing in the literature.

Original language	English
Article number	504
Journal	Mathematics
Volume	8
Issue number	4
DOIs	https://doi.org/10.3390/math8040504
State	Published - 1 Apr 2020

Keywords

Fractional integral inequalities
Fractional integrals
Hadamard proportional fractional integrals

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10.3390/math8040504

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abstract = "In this present paper we study the non-local Hadmard proportional integrals recently proposed by Rahman et al. (Advances in Difference Equations, (2019) 2019:454) which containing exponential functions in their kernels. Then we establish certain new weighted fractional integral inequalities involving a family of n (n 2 N) positive functions by utilizing Hadamard proportional fractional integral operator. The inequalities presented in this paper are more general than the inequalities existing in the literature.",

keywords = "Fractional integral inequalities, Fractional integrals, Hadamard proportional fractional integrals",

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N2 - In this present paper we study the non-local Hadmard proportional integrals recently proposed by Rahman et al. (Advances in Difference Equations, (2019) 2019:454) which containing exponential functions in their kernels. Then we establish certain new weighted fractional integral inequalities involving a family of n (n 2 N) positive functions by utilizing Hadamard proportional fractional integral operator. The inequalities presented in this paper are more general than the inequalities existing in the literature.

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KW - Fractional integral inequalities

KW - Fractional integrals

KW - Hadamard proportional fractional integrals

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Certain Hadamard proportional fractional integral inequalities

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