Browsing by Author "Iqbal, Sajid"

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Citation Count: Baleanu, Dumitru...et al. (2021). "Hermite-Hadamard-Fejer type inequalities via fractional integral of a function concerning another function", AIMS Mathematics, Vol. 6, No. 5, pp. 4280-4295.
Hermite-Hadamard-Fejer type inequalities via fractional integral of a function concerning another function
(2021) Baleanu, Dumitru; Samraiz, Muhammad; Perveen, Zahida; Iqbal, Sajid; Nisar, Kottakkaran Sooppy; Rahman, Gauhar; 56389
In this paper, we at first develop a generalized integral identity by associating Riemann-Liouville (RL) fractional integral of a function concerning another function. By using this identity estimates for various convexities are accomplish which are fractional integral inequalities. From our results, we obtained bounds of known fractional results which are discussed in detail. As applications of the derived results, we obtain the mid-point-type inequalities. These outcomes might be helpful in the investigation of the uniqueness of partial differential equations and fractional boundary value problems. © 2021 the Author(s), licensee AIMS Press.
Citation Count: Nisar, Kottakkaran Sooppy...et al. (2020). "On the weighted fractional Pólya–Szegö and Chebyshev-types integral inequalities concerning another function", Advances in Difference Equations, Vol. 2020, No. 1.
On the weighted fractional Pólya–Szegö and Chebyshev-types integral inequalities concerning another function
(2020) Nisar, Kottakkaran Sooppy; Rahman, Gauhar; Baleanu, Dumitru; Samraiz, Muhammad; Iqbal, Sajid; 56389
The primary objective of this present paper is to establish certain new weighted fractional Pólya–Szegö and Chebyshev type integral inequalities by employing the generalized weighted fractional integral involving another function Ψ in the kernel. The inequalities presented in this paper cover some new inequalities involving all other type weighted fractional integrals by applying certain conditions on ω(θ) and Ψ (θ). Also, the Pólya–Szegö and Chebyshev type integral inequalities for all other type fractional integrals, such as the Katugampola fractional integrals, generalized Riemann–Liouville fractional integral, conformable fractional integral, and Hadamard fractional integral, are the special cases of our main results with certain choices of ω(θ) and Ψ (θ). Additionally, examples of constructing bounded functions are also presented in the paper.