Mounir ZILI

@fsm.rnu.tn

Full Professor-Mathematics
Tunisian Military-Academy & University of Monastir

Mounir ZILI

RESEARCH, TEACHING, or OTHER INTERESTS

Mathematics, Statistics and Probability, Analysis, General Mathematics
521

Scholar Citations

12

Scholar h-index

16

Scholar i10-index

RECENT SCHOLAR PUBLICATIONS

  • Odd fractional brownian motion and its main properties
    Y Mishura, M Zili
    Stochastic Analysis and Applications, 1-25 , 2026
    2026
  • Multi-mixed sub-fractional Brownian motion and Ornstein–Uhlenbeck processes
    F Shokrollahi, T Sottinen, M Zili
    AIMS Mathematics 11 (2), 3464-3498 , 2026
    2026
  • Stochastic heat equation driven by space-only fractional Lévy noise: L. Salem, M. Zili
    L Salem, M Zili
    Fractional Calculus and Applied Analysis 28 (3), 1657-1680 , 2025
    2025
  • Stochastic heat equation with a special generalized fractional noise
    M Zili
    Filomat 39 (31), 11133-11150 , 2025
    2025
  • Stochastic calculus with a special generalized fractional Brownian motion
    M Zili
    International Journal of Applied Mathematics and Simulation 1 (1), 01-20 , 2024
    2024
    Citations: 3
  • Fractional stochastic heat equation with mixed operator and driven by fractional-type noise
    M Zili, E Zougar, M Rhaima
    AIMS Math 9 (10), 28970-9000 , 2024
    2024
    Citations: 2
  • Mixed stochastic heat equation with fractional Laplacian and gradient perturbation
    M Zili, E Zougar
    Fractional Calculus and Applied Analysis 25 (2), 783-802 , 2022
    2022
    Citations: 5
  • Stochastic heat equation with piecewise constant coefficients and generalized fractional type noise
    M Zili, E Zougar
    Theory of Probability and Mathematical Statistics 104, 123-144 , 2021
    2021
    Citations: 11
  • Fractional stochastic heat equation with piecewise constant coefficients
    Y Mishura, K Ralchenko, M Zili, E Zougar
    Stochastics and Dynamics 21 (01), 2150002 , 2021
    2021
    Citations: 16
  • On mild and weak solutions for stochastic heat equations with piecewise-constant conductivity
    Y Mishura, K Ralchenko, M Zili
    Statistics & Probability Letters 159, 108682 , 2020
    2020
    Citations: 6
  • Exact variations for stochastic heat equations with piecewise constant coefficients and application to parameter estimation
    M Zili, E Zougar
    Theory of Probability and Mathematical Statistics 100, 77-106 , 2020
    2020
    Citations: 4
  • Spatial quadratic variations for the solution to a stochastic partial differential equation with elliptic divergence form operator
    M Zili, E Zougar
    Modern Stochastics: Theory and Applications 6 (3), 345-375 , 2019
    2019
    Citations: 12
  • One-dimensional stochastic heat equation with discontinuous conductance
    M Zili, E Zougar
    Applicable Analysis 98 (12), 2178-2191 , 2019
    2019
    Citations: 15
  • Exact variations for stochastic heat equations with piecewise constant coefficients and application to parameter estimation
    M Zili, E Zougar
    Теорія ймовірностей та математична статистика, 75-101 , 2019
    2019
    Citations: 16
  • On the generalized fractional Brownian motion
    M Zili
    Mathematical Models and Computer Simulations 10 (6), 759-769 , 2018
    2018
    Citations: 11
  • Spatial variation for the solution to the stochastic linear wave equation driven by additive space-time white noise
    M Khalil, CA Tudor, M Zili
    Stochastics and Dynamics 18 (05), 1850036 , 2018
    2018
    Citations: 16
  • Stochastic analysis of mixed fractional Gaussian processes
    Y Mishura, M Zili
    Elsevier , 2018
    2018
    Citations: 58
  • 2-fractional and sub-fractional brownian motions
    Y Mishura, M Zili
    Stochastic Analysis of Mixed Fractional Gaussian Processes, 31-73 , 2018
    2018
    Citations: 5
  • Generalized fractional Brownian motion
    M Zili
    Modern Stochastics: Theory and Applications 4 (1), 15-24 , 2017
    2017
    Citations: 34
  • Stochastic differential equations with generalized stochastic volatility and statistical estimators
    HKM Bel, Y Mishura, K Ralchenko, G Shevchenko, M Zili
    Теорія ймовірностей та математична статистика, 8-20 , 2017
    2017
    Citations: 1

MOST CITED SCHOLAR PUBLICATIONS

  • On the mixed fractional Brownian motion
    M Zili
    International Journal of stochastic analysis 2006 (1), 032435 , 2006
    2006
    Citations: 143
  • Stochastic analysis of mixed fractional Gaussian processes
    Y Mishura, M Zili
    Elsevier , 2018
    2018
    Citations: 58
  • On the sub-mixed fractional Brownian motion
    EN Charles, Z Mounir
    Applied Mathematics-A Journal of Chinese Universities 30 (1), 27-43 , 2015
    2015
    Citations: 40
  • Generalized fractional Brownian motion
    M Zili
    Modern Stochastics: Theory and Applications 4 (1), 15-24 , 2017
    2017
    Citations: 34
  • Mixed sub-fractional Brownian motion
    M Zili
    arXiv preprint arXiv:1312.3546 , 2013
    2013
    Citations: 21
  • One-dimensional heat equation with discontinuous conductance
    ZQ Chen, M Zili
    Science China Mathematics 58 (1), 97-108 , 2015
    2015
    Citations: 17
  • Fractional stochastic heat equation with piecewise constant coefficients
    Y Mishura, K Ralchenko, M Zili, E Zougar
    Stochastics and Dynamics 21 (01), 2150002 , 2021
    2021
    Citations: 16
  • Exact variations for stochastic heat equations with piecewise constant coefficients and application to parameter estimation
    M Zili, E Zougar
    Теорія ймовірностей та математична статистика, 75-101 , 2019
    2019
    Citations: 16
  • Spatial variation for the solution to the stochastic linear wave equation driven by additive space-time white noise
    M Khalil, CA Tudor, M Zili
    Stochastics and Dynamics 18 (05), 1850036 , 2018
    2018
    Citations: 16
  • Covariance measure and stochastic heat equation with fractional noise
    C Tudor, M Zili
    Fractional Calculus and Applied Analysis 17 (3), 807-826 , 2014
    2014
    Citations: 16
  • Développement asymptotique en temps petits de la solution d'une équation aux dérivées partielles de type parabolique
    M Zili
    Comptes rendus de l'Académie des sciences. Série 1, Mathématique 321 (8 … , 1995
    1995
    Citations: 16
  • One-dimensional stochastic heat equation with discontinuous conductance
    M Zili, E Zougar
    Applicable Analysis 98 (12), 2178-2191 , 2019
    2019
    Citations: 15
  • Spatial quadratic variations for the solution to a stochastic partial differential equation with elliptic divergence form operator
    M Zili, E Zougar
    Modern Stochastics: Theory and Applications 6 (3), 345-375 , 2019
    2019
    Citations: 12
  • Construction d'une solution fondamentale d'une équation aux dérivées partielles à coefficients constants par morceaux
    M Zili
    Bulletin des sciences mathematiques 123 (2), 115-155 , 1999
    1999
    Citations: 12
  • Stochastic heat equation with piecewise constant coefficients and generalized fractional type noise
    M Zili, E Zougar
    Theory of Probability and Mathematical Statistics 104, 123-144 , 2021
    2021
    Citations: 11
  • On the generalized fractional Brownian motion
    M Zili
    Mathematical Models and Computer Simulations 10 (6), 759-769 , 2018
    2018
    Citations: 11
  • Asymptotic properties of non-standard drift parameter estimators in the models involving fractional Brownian motion
    MBH Khlifa, M Yuliya, Z Mounir
    Теорія ймовірностей та математична статистика, 73-84 , 2016
    2016
    Citations: 9
  • On mild and weak solutions for stochastic heat equations with piecewise-constant conductivity
    Y Mishura, K Ralchenko, M Zili
    Statistics & Probability Letters 159, 108682 , 2020
    2020
    Citations: 6
  • Drift parameter estimation in stochastic differential equation with multiplicative stochastic volatility
    M Bel Hadj Khlifa, Y Mishura, K Ralchenko, M Zili
    Modern Stochastics: Theory and Applications 3 (4), 269-285 , 2016
    2016
    Citations: 6
  • Mixed stochastic heat equation with fractional Laplacian and gradient perturbation
    M Zili, E Zougar
    Fractional Calculus and Applied Analysis 25 (2), 783-802 , 2022
    2022
    Citations: 5