Browsing by Author "Naheed, Saima"

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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/).
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.