Browsing by Author "Samraiz, Muhammad"

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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: Huang, Wen-Hua;...et.al. (2023). "Modified Atangana-Baleanu fractional operators involving generalized Mittag-Leffler function", Alexandria Engineering Journal, Vol.75, pp.639-648.
Modified Atangana-Baleanu fractional operators involving generalized Mittag-Leffler function
(2023) Huang, Wen-Hua; Samraiz, Muhammad; Mehmood, Ahsan; Baleanu, Dumitru; Rahman, Gauhar; Naheed, Saima; 56389
In this paper, we are going to deal with fractional operators (FOs) with non-singular kernels which is not an easy task because of its restriction at the origin. In this work, we first show the boundedness of the extended form of the modified Atangana-Baleanu (A-B) Caputo fractional derivative operator. The generalized Laplace transform is evaluated for the introduced operator. By using the generalized Laplace transform, we solve some fractional differential equations. The corresponding form of the Atangana-Baleanu Caputo fractional integral operator is also established. This integral operator is proved bounded and obtained its Laplace transform. The existence and Hyers-Ulam stability is explored. In the last results, we studied the relation between our defined operators. The operators in the literature are obtained as special cases for these newly explored FOs.
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.
Citation Count: Samraiz, Muhammad...et al (2023). "On Weighted Fractional Operators with Applications to Mathematical Models Arising in Physics", Lecture Notes in Networks and Systems, 5th International Conference On Mathematical Modelling, Applied Analysis And Computation, ICMMAAC 2022, Vol. 666, pp. 53-68.
On Weighted Fractional Operators with Applications to Mathematical Models Arising in Physics
(2023) Samraiz, Muhammad; Umer, Muhammad; Naheed, Saima; Baleanu, Dumitru; 56389
In recent study, we develop the weighted generalized Hilfer-Prabhakar fractional derivative operator and explore its key properties. It unifies many existing fractional derivatives like Hilfer-Prabhakar and Riemann-Liouville. The weighted Laplace transform of the newly defined derivative is obtained. By involving the new fractional derivative, we modeled the free-electron laser equation and kinetic equation and then found the solutions of these fractional equations by applying the weighted Laplace transform.
Citation Count: Samraiz, Muhammad;...et.al. "On Weighted Fractional Operators with Applications to Mathematical Models Arising in Physics", Advances in Mathematical Modelling, Applied Analysis and Computation, ICMMAAC 2022, Proceedings, pp.53-68, 2023.
On Weighted Fractional Operators with Applications to Mathematical Models Arising in Physics
(2023) Samraiz, Muhammad; Umer, Muhammad; Naheed, Saima; Baleanu, Dumitru; 56389
In recent study, we develop the weighted generalized Hilfer-Prabhakar fractional derivative operator and explore its key properties. It unifies many existing fractional derivatives like Hilfer-Prabhakar and Riemann-Liouville. The weighted Laplace transform of the newly defined derivative is obtained. By involving the new fractional derivative, we modeled the free-electron laser equation and kinetic equation and then found the solutions of these fractional equations by applying the weighted Laplace transform.
Citation Count: Wu, Shanhe...et al (2023). "SOME SYMMETRIC PROPERTIES AND APPLICATIONS OF WEIGHTED FRACTIONAL INTEGRAL OPERATOR", Fractals, Vol. 31, No. 10.
SOME SYMMETRIC PROPERTIES AND APPLICATIONS OF WEIGHTED FRACTIONAL INTEGRAL OPERATOR
(2023) Wu, Shanhe; Samraiz, Muhammad; Mehmood, Ahsan; Jarad, Fahd; Naheed, Saima; 234808
In this paper, a weighted generalized fractional integral operator based on the Mittag-Leffler function is established, and it exhibits symmetric characteristics concerning classical operators. We demonstrate the semigroup property as well as the boundedness of the operator in absolute continuous like spaces. In this work, some applications with graphical representation are also considered. Finally, we modify the weighted generalized Laplace transform and then applied it to the newly defined weighted fractional integral operator. The defined operator is an extension and generalization of classical Riemann-Liouville and Prabhakar integral operators.