115 citations · 1.9k across the 226 of their papers we have counts for
19 papers · 2 filters
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…
Functional inequalities on symmetric spaces of noncompact type and applications
Aidyn Kassymov, Vishvesh Kumar, Michael Ruzhansky
The aim of this paper is to begin a systematic study of functional inequalities on symmetric spaces of noncompact type of higher rank. Our first main goal of this study is to estab…
Hardy inequalities on metric measure spaces, III: The case and applications
Aidyn Kassymov, Michael Ruzhansky, Durvudkhan Suragan
In this paper, we obtain a reverse version of the integral Hardy inequality on metric measure space with two negative exponents. Also, as for applications we show the reverse Hardy…
A Direct Method of Moving Planes for Logarithmic Schrödinger Operator
Rong Zhang, Vishvesh Kumar, Michael Ruzhansky
In this paper, we study the radial symmetry and monotonicity of nonnegative solutions to nonlinear equations involving the logarithmic Schrdinger operator $(\mathc…