Mohamed Kharrat | Mathematics | Innovative Research Award

Published on by Popular Engineer

Innovative Research Award

Mohamed Kharrat
University of Sfax, Tunisia
Mohamed Kharrat
Affiliation University of Sfax
Country Tunisia
Scopus ID 57214370528
Documents 68
Citations 346
h-index 10
Subject Area Applied Mathematics
Event Popular Engineer Awards
Google Scholar lgknDdYAAAAJ

Mohamed Kharrat is an applied mathematician whose academic work encompasses fractional differential equations, numerical methods, stochastic systems, adaptive control, stability analysis, mathematical modeling, and mathematical finance. He is affiliated with the University of Sfax in Tunisia and has held academic positions involving applied mathematics teaching, research, graduate supervision, and international scientific collaboration. Mohamed Kharrat’s academic profile combines mathematical analysis with computational and control-oriented approaches to complex systems. His documented work includes fractional-order systems, stochastic nonlinear systems, adaptive and fault-tolerant control, numerical methods, and mathematical finance. His research portfolio also includes funded projects addressing nonlinear dynamics, stochastic processes, neural-network-based control, and option valuation.[1][2]

Abstract

Mohamed Kharrat is an Associate Professor of Applied Mathematics whose research profile integrates theoretical analysis, computational mathematics, stochastic modeling, and control theory. His academic training includes a Habilitation in Mathematics, a Ph.D. in Mathematics, an M.Sc. in Applied Mathematics, and a B.Sc. in Applied Mathematics from Tunisian universities. His research interests include fractional calculus and differential equations, numerical methods, nonlinear dynamical systems, adaptive control, stability analysis, mathematical finance, and stochastic differential equations. His documented academic activities include peer-reviewed research, research project leadership, international scientific mobility, conference organization, and Master’s student supervision.

Available bibliometric information identifies Google Scholar 77 Documents, 425 citations, and an h-index of 11 and 68 documents, 346 citations, and an h-index of 10 under Scopus author identifier 57214370528. These figures are bibliographic indicators rather than independent measures of research quality and may change as databases are updated.[1][2]

Keywords

Applied mathematics; fractional calculus; fractional differential equations; numerical analysis; mathematical modeling; nonlinear dynamical systems; adaptive control; stability analysis; mathematical finance; stochastic differential equations; Malliavin calculus; fault-tolerant control.

Introduction

Applied mathematics develops mathematical frameworks for understanding, analyzing, and solving problems arising in science, engineering, finance, and other quantitative disciplines. Mohamed Kharrat’s research portfolio is situated within this broad field, with particular emphasis on differential equations, stochastic processes, control systems, numerical computation, and mathematical finance. His work includes both analytical investigations and computationally oriented methods for systems characterized by uncertainty, nonlinear behavior, memory effects, or actuator constraints.

The research record supplied for this profile also indicates sustained engagement with international mathematical research communities through scientific stays at institutions in Canada, France, and Italy. Such mobility activities complement his teaching, supervision, conference organization, and research-project responsibilities.[1]

Research Profile

Mohamed Kharrat’s academic preparation spans pure and applied mathematical training, progressing from a B.Sc. in Applied Mathematics to an M.Sc. in Applied Mathematics, a Ph.D. in Mathematics, and a Habilitation in Mathematics. His academic appointments have included teaching and research positions at Sfax University, Kairouan University, Monastir University, and Jouf University.

Education

  • Habilitation in Mathematics (2021) — Department of Mathematics, Faculty of Sciences of Sfax, Sfax University, Tunisia.
  • Ph.D. in Mathematics (2014) — Department of Mathematics, Faculty of Sciences of Sfax, Sfax University, Tunisia.
  • M.Sc. in Applied Mathematics (2008) — National Engineering School of Tunis, Tunis El Manar University, Tunisia.
  • B.Sc. in Applied Mathematics (2005) — Department of Mathematics, Faculty of Sciences of Sfax, Sfax University, Tunisia.

Academic Positions

  • Associate Professor of Applied Mathematics (2024–present) — College of Science, Jouf University, Saudi Arabia; Preparatory Engineering Institute of Sfax, Sfax University, Tunisia.
  • Assistant Professor of Applied Mathematics (2018–2024) — College of Science, Jouf University, Saudi Arabia; Faculty of Pharmacy of Monastir, Monastir University, Tunisia.
  • Assistant of Applied Mathematics (2014–2018) — Faculty of Pharmacy of Monastir, Monastir University, Tunisia.
  • Assistant of Applied Mathematics (2011–2014) — Higher Institute of Applied Mathematics and Informatics of Kairouan, Kairouan University, Tunisia.
  • Assistant of Applied Mathematics (2009–2011) — Faculty of Sciences of Sfax, Sfax University, Tunisia.

Teaching Experience

  • Stochastic Calculus
  • Statistics and Probability at undergraduate and graduate levels
  • Biostatistics
  • Data Analysis using SPSS
  • Operational Research
  • Partial Differential Equations
  • Numerical Analysis
  • Advanced Calculus
  • Linear Algebra
  • Mathematical Analysis

Research Interests

  • Fractional Calculus and Differential Equations
  • Numerical Methods and Their Applications
  • Mathematical Modeling
  • Nonlinear Dynamical Systems
  • Adaptive Control
  • Stability Analysis
  • Mathematical Finance
  • Stochastic Differential Equations

Research Contributions

The supplied research record shows several interconnected contribution areas. Work on fractional-order systems addresses mathematical models in which non-integer differentiation can represent memory and hereditary effects. One co-authored study examined finite-time stability for linear fractional-order time-delay systems, contributing to the analysis of stability behavior in systems with both fractional dynamics and delays. [2][3]

A second research direction concerns adaptive and fault-tolerant control of nonlinear systems. Recent publications supplied for this profile investigate neural-network-based adaptive control, actuator faults, unknown hysteresis, unmodeled dynamics, dead-zone characteristics, and nonstrict-feedback nonlinear systems. [4] [5]

Mathematical finance represents another substantial component of the research portfolio. The listed research projects address Malliavin calculus, stochastic volatility, stochastic interest rates, American option valuation, European option pricing, and fractional versions of the Vasicek model. These projects demonstrate the application of stochastic-analysis techniques to quantitative finance.

Research Projects

  1. DGSSR-2025-02-01021 — Finite-Time Fuzzy Adaptive Control for Nonlinear Systems with Asymmetric Dead-Zone and Actuator Faults via an Event-Triggered Mechanism.
  2. DGSSR-2025-02-01020 — Neural Network-Based Adaptive Fixed-Time Control for Nonlinear Systems with Actuator Faults, Unmodeled Dynamics, and Input Dead-Zone.
  3. DGSSR-2025-FC-01002 — Adaptive Finite-Time Control for Pure-Feedback Stochastic Nonlinear Systems.
  4. DGSSR-2024-02-02034 — Adaptive Fuzzy Command-Filter Control with Actuator Faults.
  5. DGSSR-2024-02-01008 — Adaptive Fault-Tolerant Control of Nonstrict-Feedback Systems with Unmodeled Dynamics Output Using Multi-Dimensional Taylor Networks.
  6. DSR-2023-02-02011 — Specification of Malliavin Weights under Stochastic Volatility and Stochastic Interest Rate Processes for American Option Valuation.
  7. DSR-2021-03-03140 — Expected Derivative Value Computation Using Malliavin Calculus under General Stochastic Volatility Processes.
  8. DSR-2021-03-03139 — A New Stable Relaxation Method for Pricing European Options under the Time-Fractional Vasicek Model.
  9. DSR-2021-03-0234 — Optimal Pricing of American Options.
  10. DSR-2020-05-450 — Computation of Conditional Expectation Based on the Multidimensional J-Process Using Malliavin Calculus for Pricing American Options with Localization Functions.

International Scientific Mobility

  • July–August 2016: Université du Québec à Montréal, Canada — scientific research stay under the invitation of Prof. Jean-Guy Meunier.
  • June–July 2015: Université de Montréal, Canada — scientific research stay under the invitation of Prof. Fabian Bastin.
  • April–May 2012: University of Bologna, Italy — scientific research stay under the invitation of Prof. Andrea Pascucci.
  • December 2010: University of Maine, Le Mans, France — research collaboration at the Department of Mathematics under the invitation of Prof. Saïd Hamadène.
  • January–March 2009: University of Padua, Italy — scientific research stay under the invitation of Prof. Wolfgang Runggaldier.
  • August 2008–August 2009: University of Genoa, Italy — scientific research stay under the international mobility program IMAGEEN.

Academic Service and Professional Activities

Kharrat has participated in the organization and scientific governance of international mathematical conferences. He served as General Conference Chair for the International E-Conference on Pure and Applied Mathematical Sciences in 2021 and 2022 and as a member of scientific committees for conferences and symposia held between 2021 and 2023.

  • General Conference Chair: International E-Conference on Pure and Applied Mathematical Sciences (ICPAMS 2022), 04–06 May 2022.
  • General Conference Chair: International E-Conference on Pure and Applied Mathematical Sciences (ICPAMS 2021), 07–10 June 2021.
  • Scientific Committee Member: International Conference on Contemporary Mathematics and Its Applications (ICCMA 2023), 26–27 November 2023.
  • Scientific Committee Member: International Symposium on Contemporary Developments in Functional Analysis and Mathematical Sciences (ISCDFAMS 2023).
  • Scientific Committee Member: International Symposium on Contemporary Developments in Functional Analysis and Mathematical Sciences (ISCDFAMS 2022).
  • Scientific Committee Member: International Conference on Recent Advances in Mathematics and Informatics (ICRAMI 2021), 21–22 September 2021.

Master’s Student Supervision

  • 2024: Reem Alanazi — Computation of the Conditional Expectation Using Malliavin Calculus.
  • 2024: Ali Majrashi — Fractional Brownian Motion and Its Applications.
  • 2023: Sooaad AlShamrani — On the Analytic Theory of Free Probability.
  • 2021: Seham Al Roweathi — Pricing Options under Fractional Models.

Publications

The supplied academic record identifies a publication portfolio that includes journal articles, book chapters, books, and conference papers. The stated publication-related totals include four book chapters, three books, and ten conference papers. The following selected articles illustrate the principal research themes represented in the record.[2][3][4][5]

  • Naifar, O., Nagy, A. M., Makhlouf, A. B., Kharrat, M., & Hammami, M. A. (2019). Finite-time stability of linear fractional-order time-delay systems. International Journal of Robust and Nonlinear Control, 29(1), 180–187.
  • Kharrat, M. (2024). Neural networks-based adaptive fault-tolerant control for stochastic nonlinear systems with unknown backlash-like hysteresis and actuator faults. Journal of Applied Mathematics and Computing, 70(3), 1995–2018.
  • Kharrat, M. (2024). Adaptive fault-tolerant control for a class of nonstrict-feedback nonlinear systems with unmodeled dynamics and dead-zone output using multi-dimensional Taylor networks. Nonlinear Dynamics, 112(15), 13289–13306.

Research Impact

The supplied bibliometric profile records 68 documents, 346 citations, and an h-index of 10. These indicators provide a quantitative description of the indexed research record and should be interpreted within the coverage and updating practices of the relevant bibliographic databases. The Scopus author identifier associated with the profile is 57214370528. [1]

Beyond publication metrics, the academic record indicates research leadership through multiple principal-investigator or project-chair roles, international research mobility, graduate supervision, and conference service. The combination of mathematical theory, computational methods, stochastic modeling, and control-oriented applications provides a multidisciplinary foundation for applied mathematical research.

The selected publications also demonstrate engagement with established scholarly journals and internationally visible research themes. The 2019 study on fractional-order time-delay systems addresses stability theory, while the 2024 studies extend adaptive control approaches to nonlinear stochastic systems and systems affected by actuator faults and unmodeled dynamics. [3] [4] [5]

Award Suitability

Based on the academic information supplied for this profile, Mohamed Kharrat presents a research record that is relevant to an Innovative Research Award in the field of applied mathematics. The suitability assessment is based on documented research activity, scholarly publications, project leadership, academic service, graduate supervision, and international collaboration rather than on an assumption of award outcome.

  • Research breadth: The profile covers fractional calculus, differential equations, stochastic systems, control theory, numerical methods, and mathematical finance.
  • Research continuity: Academic projects and publications span multiple years and demonstrate continuing activity across theoretical and applied mathematical problems.
  • Research leadership: The record identifies multiple principal-investigator and project-chair responsibilities in funded research projects.
  • Scholarly output: The supplied bibliometric profile reports 68 documents, 346 citations, and an h-index of 10. [1]
  • International engagement: Research stays and collaborations in Canada, France, and Italy indicate sustained international scientific interaction.
  • Academic contribution: Conference organization, scientific committee participation, and Master’s supervision complement the research portfolio.

Taken together, these elements provide a substantive basis for consideration under an innovation-oriented academic recognition category, subject to the formal eligibility requirements, documentation standards, and independent evaluation procedures of the Popular Engineer Awards.

Conclusion

Mohamed Kharrat’s academic profile reflects a sustained engagement with applied mathematics, combining mathematical theory, numerical computation, stochastic analysis, control systems, and financial modeling. His education at Sfax University and Tunis El Manar University, academic appointments in Tunisia and Saudi Arabia, research leadership, graduate supervision, conference service, and international scientific mobility collectively describe a broad academic career.

The documented publication and bibliometric record further supports the characterization of an active research profile. Particularly notable research themes include fractional-order stability, adaptive fault-tolerant control, stochastic nonlinear systems, Malliavin calculus, and mathematical finance. [3] [4] [5]

References

  1. Elsevier. (n.d.). Scopus author details: Mohamed Kharrat, Author ID 57214370528. Scopus. https://www.scopus.com/authid/detail.uri?authorId=57214370528
  2. Google Scholar. (n.d.). Mohamed Kharrat — Google Scholar profile. https://scholar.google.com/citations?user=lgknDdYAAAAJ&hl=en&oi=sra
  3. Naifar, O., Nagy, A. M., Makhlouf, A. B., Kharrat, M., & Hammami, M. A. (2019). Finite-time stability of linear fractional-order time-delay systems. International Journal of Robust and Nonlinear Control, 29(1), 180–187. https://doi.org/10.1002/rnc.4388
  4. Kharrat, M. (2024). Neural networks-based adaptive fault-tolerant control for stochastic nonlinear systems with unknown backlash-like hysteresis and actuator faults. Journal of Applied Mathematics and Computing, 70(3), 1995–2018. https://doi.org/10.1007/s12190-024-02042-2
  5. Kharrat, M. (2024). Adaptive fault-tolerant control for a class of nonstrict-feedback nonlinear systems with unmodeled dynamics and dead-zone output using multi-dimensional Taylor networks. Nonlinear Dynamics, 112(15), 13289–13306. https://doi.org/10.1007/s11071-024-09749-8