52 citations · 148 across the 36 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…
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…