52 citations · 148 across the 36 of their papers we have counts for
38 papers
Generalization of Hallaire-Luikov Moisture Transfer Equation: Direct Problem with the -Prabhakar Operator
Erkinjon Karimov, Shokhzodbek Khasanov
This paper focuses on the analysis of an initial-boundary value (direct) problem for the Hallaire-Luikov moisture transfer equation involving the -Prabhakar integral-differentia…
New inverse problems for a time-switched system of wave and diffusion equations
E. T. Karimov, N. A. Murolimova
We study two new classes of inverse problems for a time-switched system in which a fractional wave equation (with Caputo derivative of order ) governs the dynamics on t…
An Inverse Source Problem For a Time-Fractional Mixed Wave-Diffusion-Wave Equation in a Cylindrical Domain
Erkinjon Karimov, Muzaffar Toshpulatov
This paper addresses the inverse source problem for a mixed-type fractional wave-diffusion-wave equation posed in a cylindrical domain. The governing equation involves a time-depen…
Green's Function Framework for Boundary Value Problems with the Regularized Prabhakar Fractional Derivative
Erkinjon Karimov, Doniyor Usmonov, Maftuna Mirzaeva
In this work, the first initial-boundary value problem for a sub-diffusion equation involving the regularized Prabhakar fractional derivative is studied. The problem is solved by r…
Operational Calculus for the nth-Level Prabhakar Type Fractional Derivative with Applications
Imtiaz Waheed, Erkinjon Karimov, Mujeeb ur Rehman
This study investigates the nth-level Prabhakar fractional derivative, a generalization encompassing some well-known fractional derivatives. We establish its fundamental properties…
Green's Function and Solution Representation for a Boundary Value Problem Involving the Prabhakar Fractional Derivative
Erkinjon Karimov, Doniyor Usmonov, Maftuna Mirzaeva
We investigate a first boundary value problem for a second-order partial differential equation involving the Prabhakar fractional derivative in time. Using structural properties of…