Browsing by Author "Samraiz, Muhammad"

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Citation - WoS: 13
Citation - Scopus: 13
Hermite-Hadamard-Fejer type inequalities via fractional integral of a function concerning another function
(Amer inst Mathematical Sciences-aims, 2021) Baleanu, Dumitru; Samraiz, Muhammad; Perveen, Zahida; Iqbal, Sajid; Nisar, Kottakkaran Sooppy; Rahman, Gauhar; 56389; Matematik
In this paper, we at first develop a generalized integral identity by associating RiemannLiouville (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.
Citation - WoS: 11
Citation - Scopus: 17
Modified Atangana-Baleanu fractional operators involving generalized Mittag-Leffler function
(Elsevier, 2023) Huang, Wen-Hua; Samraiz, Muhammad; Mehmood, Ahsan; Baleanu, Dumitru; Rahman, Gauhar; Naheed, Saima; 56389; Matematik
In this paper, we are going to deal with fractional operators (FOs) with non-singular ker-nels 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 estab-lished. 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.& COPY; 2023 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).
Citation - WoS: 0
A New Formulation and Analytical Applications of Fractional Operators
(World Scientific Publ Co Pte Ltd, 2024) Mehmood, Ahsan; Samraiz, Muhammad; Liu, Zhi-Guo; Baleanu, Dumitru; Vivas-Cortez, Miguel; Matematik
This research paper introduces a novel formulation of the modified Atangana-Baleanu (AB) Fractional Operators (FrOs). The paper begins by discussing the boundedness of the novel fractional derivative operator. Some fractional differential equations corresponding to different choices of functions as well as comparative graphical representations of a function and its derivative are provided. Furthermore, the paper investigates the generalized Laplace transform for this newly introduced operator. By employing the generalized Laplace transform, a wide range of fractional differential equations can be effectively solved. Additionally, the paper establishes the corresponding form of the AB Caputo fractional integral operator, examines its boundedness and obtains its Laplace transform. It is worth noting that the FrOs previously documented in the existing literature can be derived as special cases of these recently explored FrOs.
Citation - WoS: 8
Citation - Scopus: 13
On the weighted fractional Pólya–Szegö and Chebyshev-types integral inequalities concerning another function
(Springer, 2020) Nisar, Kottakkaran Sooppy; Rahman, Gauhar; Baleanu, Dumitru; Samraiz, Muhammad; Iqbal, Sajid; 56389; Matematik
The primary objective of this present paper is to establish certain new weighted fractional Polya-Szego and Chebyshev type integral inequalities by employing the generalized weighted fractional integral involving another function psi 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 omega(theta) and psi (theta). Also, the Polya-Szego 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 omega(theta) and psi(theta). Additionally, examples of constructing bounded functions are also presented in the paper.
On Weighted Fractional Operators with Applications to Mathematical Models Arising in Physics
(2023) Samraiz, Muhammad; Umer, Muhammad; Naheed, Saima; Baleanu, Dumitru; 56389; Matematik
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 - WoS: 7
Citation - Scopus: 7
SOME SYMMETRIC PROPERTIES AND APPLICATIONS OF WEIGHTED FRACTIONAL INTEGRAL OPERATOR
(World Scientific Publ Co Pte Ltd, 2023) Wu, Shanhe; Samraiz, Muhammad; Mehmood, Ahsan; Jarad, Fahd; Naheed, Saima; 234808; Matematik
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.