3 papers
math.AP2026
Nonlocal problem for multi-parametric integral-differential equation
Erkinjon Karimov, Doniyor Usmonov, Khurshidjon Turdiev
This paper investigates a nonlocal boundary value problem for a multi-parametric integral-differential equation involving the Caputo-Prabhakar type operator in a bounded rectangula…
math.AP2026
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…
math.AP2026
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…