New estimates considering the generalized proportional Hadamard fractional integral operators

By Shuang-Shuang Zhou, Saima Rashid, Fahd Jarad, Humaira Kalsoom, Y. Chu. 2020

53 citations recorded by the source corpus.

In the article, we describe the Grüss type inequality, provide some related inequalities by use of suitable fractional integral operators, address several variants by utilizing the generalized proportional Hadamard fractional (GPHF) integral operator. It is pointed out that our introduced new integral operators with nonlocal kernel have diversified applications. Our obtained results show the computed outcomes for an exceptional choice to the GPHF integral operator with parameter and the proportionality index. Additionally, we illustrate two examples that can numerically approximate these operators.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/df2e5540240fea666c0db191ee42c6d9f83ddf97

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Saima Rashid
2. Y. Chu
3. Khalida Inayat Noor
4. Muhammad Aslam Noor
5. Shuang-Shuang Zhou
6. Farhat Safdar
7. Tie-hong Zhao
8. M. Adil Khan

In Modeling and Simulation

1. Y. Chu
2. Saima Rashid
3. Muhammad Aslam Noor
4. Khalida Inayat Noor
5. Syed Tauseef Mohyud-Din
6. Dumitru Băleanu
7. M. Akbar
8. Kamruzzaman Khan

Citations in the corpus

• New Hermite-Hadamard type inequalities for exponentially convex functions and applications (2020, background): “Integral inequalities [31-34] have numerous applications in number theory, combinatorics, orthogonal polynomials, hypergeometric functions, quantum theory, linear programming, optimization theory, mechanics and in the theory of relativity.”