2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.GM2024
Fractional-Diffraction-Optics Cauchy Problem: Resolvent-Function Solution of the Matrix Integral Equation
Murat O. Mamchuev, Felix N. Chukhovskii
The fractional diffraction optics theory has been elaborated using the Green function technique. The optics-fractional equation describing the diffraction X-ray scattering by imper…
math.AP2016
On boundary-value problems for a partial differential equation with Caputo and Bessel operators
Praveen Agarwal, Erkinjon Karimov, Murat Mamchuev +1
In this work, we investigate a unique solvability of a direct and inverse source problem for a time-fractional partial differential equation with the Caputo and Bessel operators. U…
math.AP2016★ 2 cited
Boundary value problem for the time-fractional telegraph equation with Caputo derivatives
M. O. Mamchuev
In this paper the Green formula for the operator of fractional differentiation in Caputo sense is proved. By using this formula the integral representation of all regular in a rect…