7 citations · 23 across the 14 of their papers we have counts for
5 papers · 1 filter
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…
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…
An initial-boundary problem for a mixed fractional wave equation
Erkinjon Karimov, Nasser Al-Salti, Muna Al-Ghabsi
We aim to prove a unique solvability of an initial-boundary value problem (IBVP) for a time-fractional wave equation in a rectangular domain. We exploit the spectral expansion meth…
On generalized Mittag-Leffler-type functions of two variables
Anvar Hasanov, Erkinjon Karimov
We aim to study Mittag-Leffler type functions of two variables by analogy with the Appell hypergeometric functions of…