4 papers
Cauchy Problem for a Linear System of Ordinary Differential Equations of the Fractional Order
Murat Osmanovich Mamchuev
The paper investigates the initial problem for a linear system of ordinary differential equations with the fractional differentiation operator Dzhrbashyan -- Nersesyan with constan…
New estimate for the multinomial Mittag-Leffler function
Murat Mamchuev
In this paper, a new estimate is obtained for the multinomial Mittag-Leffler function. This function was introduced by Yuri Luchko and Rudolfo Gorenflo as the fundamental solution…
Boundary value problem for a multidimensional system of equation with Riemann-Liouville derivatives
M. O. Mamchuev
In the paper boundary-value problem for a multidimensional system of partial differential equations with fractional derivatives in Riemann-Liouville sense with constant coefficient…
Necessary non-local conditions for a time-fractional diffusion-wave equation
M. O. Mamchuev
In this paper the time-fractional diffusion-wave equation with Riemman-Liouville fractional derivative is studied. The integral operators with the Wright function in the kernel, as…