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Open AccessArticle

Certain Hadamard Proportional Fractional Integral Inequalities

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Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Upper Dir 18000, Pakistan
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Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia
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Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
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Department of Medical Research, China Medical University, Taichung 40402, Taiwan
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Department of Computer Science and Information Engineering, Asia University, Taichung 40402, Taiwan
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Authors to whom correspondence should be addressed.
Mathematics 2020, 8(4), 504; https://doi.org/10.3390/math8040504
Received: 4 March 2020 / Revised: 27 March 2020 / Accepted: 29 March 2020 / Published: 2 April 2020
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 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. View Full-Text
Keywords: fractional integrals; hadamard proportional fractional integrals; fractional integral inequalities fractional integrals; hadamard proportional fractional integrals; fractional integral inequalities
MDPI and ACS Style

Rahman, G.; Sooppy Nisar, K.; Abdeljawad, T. Certain Hadamard Proportional Fractional Integral Inequalities. Mathematics 2020, 8, 504.

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