Browsing by Author "Umer, Muhammad"
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Conference Object On Weighted Fractional Operators with Applications to Mathematical Models Arising in Physics(2023) Samraiz, Muhammad; Umer, Muhammad; Naheed, Saima; Baleanu, Dumitru; 56389; MatematikIn 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.