38 citations · 40 across the 9 of their papers we have counts for
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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…
math.AP2016★ 38 cited
Solutions of the main boundary value problems for the time-fractional telegraph equation by the Green function method
Murat O. Mamchuev
The inhomogenous time-fractional telegraph equation with Caputo derevatives with constant coefficients is considered. For considered equation the general representation of regular…