5 citations · 13 across the 13 of their papers we have counts for
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The Prabhakar fractional -integral and -differential operators, and their properties
Serikbol Shaimardan, Erkinjon Karimov, Michael Ruzhansky +1
In this paper, we have introduced the Prabhakar fractional -integral and -differential operators. We first study the semi-group property of the Prabhakar fractional -integ…
Direct and inverse source problems for heat equation in quantum calculus
Michael Ruzhansky, Serikbol Shaimardan
In this paper we explore the weak solutions of the Cauchy problem and an inverse source problem for the heat equation in the quantum calculus, formulated in abstract Hilbert spaces…
Fractional Cauchy problems associated with the bi-ordinal Hilfer fractional -derivative
Erkinjon Karimov, Michael Ruzhansky, Serikbol Shaimardan
To study the existence and uniqueness of solutions to Cauchy-type problems for fractional q-difference equations with the bi-ordinal Hilfer fractional q-derivative which is an exte…
Inverse problems for q-analogue of the heat equation
Erkinjon Karimov, Serikbol Shaimardan
In this paper we explore the weak solution of a time-dependent inverse source problem and inverse initial problem for -analogue of the heat equation. As an over-determination co…
Wave equation for Sturm-Liouville operator with singular potentials
Michael Ruzhansky, Serikbol Shaimardan, Alibek Yeskermessuly
The paper is denoted to the initial-boundary value problem for the wave equation with the Sturm-Liouville operator with irregular (distributive) potentials. To obtain a solution to…