Research Explorer

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Researcher

Berikbol Torebek

Awards & Distinctions

62 Results

2025

Higher-order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces : the critical case

Vishvesh KumarShyam Swarup MondalMichael RuzhanskyBerikbol Torebek

A1 Journal Article in JOURNAL OF EVOLUTION EQUATIONS

2024

A cauchy problem for q-heat equation

Serikbol Shaimardan

A direct method of moving planes for logarithmic Schrödinger operator

An efficient neural network for the diagnosis of Parkinson’s disease using dynamic handwriting analysis

Xuechao WangSven NõmmJunqing HuangMarianna ChatzakouMichael Ruzhansky

Behavior of solutions to semilinear evolution inequalities in an annulus : the critical cases

Meiirkhan BorikhanovBerikbol Torebek

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Fujita-type results for the degenerate parabolic equations on the Heisenberg groups

Ahmad Z. FinoMichael RuzhanskyBerikbol Torebek

A1 Journal Article in NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS

Global existence and blow-up of solutions to the double nonlinear porous medium equation

Bolys SabitbekBerikbol Torebek

A1 Journal Article in DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Inverse source problems in thermoelasticity

Karel Van Bockstal

Modern problems in PDEs and applications : extended abstracts of the 2023 GAP Center Summer School

On inhomogeneous exterior Robin problems with critical nonlinearities

Meiirkhan BorikhanovBerikbol Torebek

A1 Journal Article in JOURNAL OF DIFFERENTIAL EQUATIONS

On inverse source problems for space-dependent sources in thermoelasticity

Frederick MaesKarel Van Bockstal

On q²-analogue of the one-dimensional non-homogeneous heat equation

Semi-sparsity for triangular mesh denoising

The principal symbol of elliptic differential operators on Lie groups and homogeneous spaces

Alexander CardonaDavid Santiago Gómez Cobos

Titchmarsh theorem by modulus of continuity for the deformed Hankel–Lipschitz classes

Vishvesh KumarJoel Restrepo

Titchmarsh theorems for Fourier transforms of Hölder-Lipschitz functions on fundamental domains of lattices in R^d

2023

Critical exponents for the p-Laplace heat equations with combined nonlinearities

Berikbol Torebek

A1 Journal Article in JOURNAL OF EVOLUTION EQUATIONS

Decay estimates for the time-fractional evolution equations with time-dependent coefficients

Asselya G. SmadiyevaBerikbol Torebek

A1 Journal Article in PROCEEDINGS OF THE ROYAL SOCIETY A : MATHEMATICAL, PHYSICAL AND ENGINEERING SCIENCES

Fisher–KPP equation on the Heisenberg group

Ardak KashkynbayevDurvudkhan SuraganBerikbol Torebek

A1 Journal Article in MATHEMATISCHE NACHRICHTEN

Global existence and blow-up of solutions to porous medium equation and pseudo-parabolic equation, I. Stratified groups

Michael RuzhanskyBolys SabitbekBerikbol Torebek

A1 Journal Article in MANUSCRIPTA MATHEMATICA

Qualitative properties of solutions to a nonlinear time-space fractional diffusion equation

Meiirkhan B. BorikhanovMichael RuzhanskyBerikbol Torebek

A1 Journal Article in FRACTIONAL CALCULUS AND APPLIED ANALYSIS

Rayleigh–Faber–Krahn, Lyapunov and Hartmann–Wintner inequalities for fractional elliptic problems

Aidyn KassymovMichael RuzhanskyBerikbol Torebek

A1 Journal Article in MEDITERRANEAN JOURNAL OF MATHEMATICS

Sub-diffusion equations with Mittag-Leffler nonlinearity

Berikbol Torebek

A1 Journal Article in DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S

2022

Direct and inverse problems for time-fractional pseudo-parabolic equations

Michael RuzhanskyDaurenbek SerikbaevNiyaz TokmagambetovBerikbol Torebek

A1 Journal Article in QUAESTIONES MATHEMATICAE

Lyapunov, Hartman-Wintner and De La Vallée Poussin-type inequalities for fractional elliptic boundary value problems

Aidyn KassymovMokhtar KiraneBerikbol Torebek

A1 Journal Article in COMPLEX VARIABLES AND ELLIPTIC EQUATIONS

Multi-term time-fractional diffusion equation and system : mild solutions and critical exponents

Aidyn KassymovNiyaz TokmagambetovBerikbol Torebek

A1 Journal Article in PUBLICATIONES MATHEMATICAE-DEBRECEN

Nonexistence of global solutions for an inhomogeneous pseudo-parabolic equation

Meiirkhan BorikhanovBerikbol Torebek

A1 Journal Article in APPLIED MATHEMATICS LETTERS

Well-posedness of Tricomi–Gellerstedt–Keldysh-type fractional elliptic problems

Michael RuzhanskyBerikbol TorebekBatirkhan Turmetov

A1 Journal Article in JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS

2021

Blowing-up solutions of the time-fractional dispersive equations

Ahmed AlsaediBashir AhmadMokhtar KiraneBerikbol Torebek

A1 Journal Article in ADVANCES IN NONLINEAR ANALYSIS

Commutant and uniqueness of solutions of Duhamel equations

Ramiz TapdigogluBerikbol Torebek

A1 Journal Article in BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY

Global existence and blow-up for a space and time nonlocal reaction-diffusion equation

Ahmed AlsaediMokhtar KiraneBerikbol Torebek

A1 Journal Article in QUAESTIONES MATHEMATICAE

Local and blowing-up solutions for an integro-differential diffusion equation and system

Meiirkhan BorikhanovBerikbol Torebek

A1 Journal Article in CHAOS SOLITONS & FRACTALS

Local existence and global nonexistence results for an integro‐differential diffusion system with nonlocal nonlinearities

Meiirkhan BorikhanovBerikbol Torebek

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Maximum principle for space and time-space fractional partial differential equations

Mokhtar KiraneBerikbol Torebek

A1 Journal Article in ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN

Sobolev, Hardy, Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg type inequalities for some fractional derivatives

Aidyn KassymovMichael RuzhanskyNiyaz TokmagambetovBerikbol Torebek

A1 Journal Article in BANACH JOURNAL OF MATHEMATICAL ANALYSIS

Van der Corput lemmas for Mittag-Leffler functions. II. α–directions

Michael RuzhanskyBerikbol Torebek

A1 Journal Article in BULLETIN DES SCIENCES MATHEMATIQUES

2020

Bitsadze-Samarskii type problem for the integro-differential diffusion-wave equation on the Heisenberg group

Michael RuzhanskyNiyaz TokmagambetovBerikbol Torebek

A1 Journal Article in INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

Blow-up of smooth solutions of the time-fractional Burgers equation

Ahmed AlsaediMokhtar KiraneBerikbol Torebek

A1 Journal Article in QUAESTIONES MATHEMATICAE

Global existence and blow-up of solutions of the time-fractional space-involution reaction-diffusion equation

Ramiz TapdigoǧluBerikbol Torebek

A1 Journal Article in TURKISH JOURNAL OF MATHEMATICS

Lyapunov-type inequalities for a nonlinear fractional boundary value problem

Aidyn KassymovBerikbol Torebek

A1 Journal Article in REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS

Multidimensional van der Corput-type estimates involving Mittag-Leffler functions

Michael RuzhanskyBerikbol Torebek

A1 Journal Article in FRACTIONAL CALCULUS AND APPLIED ANALYSIS

Nonexistence results for the hyperbolic-type equations on graded Lie groups

Aidyn KassymovNiyaz TokmagambetovBerikbol Torebek

A1 Journal Article in BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY

On a non-local problem for a multi-term fractional diffusion-wave equation

Michael RuzhanskyNiyaz TokmagambetovBerikbol Torebek

A1 Journal Article in FRACTIONAL CALCULUS AND APPLIED ANALYSIS

2019

A criterion of solvability of the elliptic Cauchy problem in a multi-dimensional cylindrical domain

Tynysbek Sharipovich Kal'menovMakhmud A. SadybekovBerikbol Torebek

A1 Journal Article in COMPLEX VARIABLES AND ELLIPTIC EQUATIONS

A method for solving ill-posed nonlocal problem for the elliptic equation with data on the whole boundary

Tynysbek Sh. Kal’menovBerikbol Torebek

A1 Journal Article in JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS

Extremum principle for the Hadamard derivatives and its application to nonlinear fractional partial differential equations

Mokhtar KiraneBerikbol Torebek

A1 Journal Article in FRACTIONAL CALCULUS AND APPLIED ANALYSIS

Fractional Sturm–Liouville equations : self-adjoint extensions

Niyaz TokmagambetovBerikbol Torebek

A1 Journal Article in COMPLEX ANALYSIS AND OPERATOR THEORY

Global unsolvability of the Burgers equation with fractional time derivative

Berikbol Torebek

A1 Journal Article in DIFFERENTIAL EQUATIONS

Hermite–Hadamard, Hermite–Hadamard–Fejér, Dragomir–Agarwal and Pachpatte type inequalities for convex functions via new fractional integrals

Bashir AhmadAhmed AlsaediMokhtar KiraneBerikbol Torebek

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Inverse source problems for positive operators, I : hypoelliptic diffusion and subdiffusion equations

Michael RuzhanskyNiyaz TokmagambetovBerikbol Torebek

A1 Journal Article in JOURNAL OF INVERSE AND ILL-POSED PROBLEMS

On a class of inverse problems for a heat equation with involution perturbation

Nasser Al-SaltiMokhtar KiraneBerikbol Torebek

A1 Journal Article in HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS

On a nonlinear problem of the breaking water waves

M. KiraneBerikbol Torebek

A2 Journal Article in BULLETIN OF THE SOUTH URAL STATE UNIVERSITY SERIES - MATHEMATICAL MODELLING PROGRAMMING & COMPUTER SOFTWARE

Some Hermite-Hadamard type inequalities in the class of hyperbolic p-convex functions

Silvestru Sever DragomirBerikbol Torebek

A1 Journal Article in REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS

2018

A Lyapunov-type inequality for a fractional boundary value problem with Caputo-Fabrizio derivative

Mokhtar KiraneBerikbol Torebek

A1 Journal Article in JOURNAL OF MATHEMATICAL INEQUALITIES

Anomalous diffusion phenomena with conservation law for the fractional kinetic process

Niyaz TokmagambetovBerikbol Torebek

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Green's formula for integro-differential operators

Niyaz TokmagambetovBerikbol Torebek

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Maximum principle and its application for the nonlinear time-fractional diffusion equations with Cauchy-Dirichlet conditions

Meiirkhan BorikhanovMokhtar KiraneBerikbol Torebek

A1 Journal Article in APPLIED MATHEMATICS LETTERS

On a non-linear boundary-layer problem for the fractional Blasius-type equation

Ramiz TapdigogluBerikbol Torebek

A1 Journal Article in INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION

Symmetric differential operators of fractional order and their extensions

Niyaz TokmagambetovBerikbol Torebek

A2 Journal Article in TRANSACTIONS OF THE MOSCOW MATHEMATICAL SOCIETY

Well-posed problems for the fractional Laplace equation with integral boundary conditions

Niyaz TokmagambetovBerikbol Torebek

A1 Journal Article in ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS

2017

On an ill-posed problem for the Laplace operator with data on the whole boundary

Berikbol Torebek

2016

Fractional analogue of sturm-liouville operator

Niyaz TokmagambetovBerikbol Torebek

A1 Journal Article in DOCUMENTA MATHEMATICA