Profile Details

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Hire Dr. Abderrahmane L.

United Arab Emirates

USD 40 /hr

Mathematics Researcher | Specialist in Nonlinear PDEs, Numerical Methods & Academic Editing

Profile Summary

Dr. Abderrahmane Lakhdari is a mathematics researcher and educator with a Ph.D. in nonlinear PDEs and fractional models. He specializes in fractional Laplacian problems, Heisenberg group analysis, and computational methods. With strong skills in Python, LaTeX, and numerical simulations, he offers precise, high-quality consulting for academic writing, problem-solving, thesis support, and advanced tutoring. His philosophy: any complex problem becomes simple with the right insight.

Subject Matter Expertise

• ★ Mathematics Education
• ★ Differential Equations
• ★ Mathematical Analysis
• ☆ Statistics
• ☆ Trend Analysis
• ☆ Applied Mathematics
• ☆ Mathematical Models
• ☆ Mathematical Control Theory
• ☆ Mathematical Physics
• ☆ Computational Mathematics
• ☆ Pure Mathematics
• ☆ Fractals
• ☆ Calculus
• ☆ Geometry
• ☆ Integral Equations
• ☆ History of Mathematics

Services

• Writing
• Research
• Consulting
• Data & AI
• Product Development

Writing Technical Writing, General Proofreading & Editing, Translation

Research Scientific and Technical Research, Systematic Literature Review

Consulting Scientific and Technical Consulting

Data & AI Data Visualization

Product Development Formulation, Product Evaluation

Work Experience

Online professor

Neologique centre Al Akhdari

February 2020 - Present

Education

PhD Mathematics

Université de Tunis El Manar - Tunisia

September 2020 - March 2024

Masters of Science

Université Abou Bekr Belkaid, Tlemcen - Algeria

September 2017 - July 2020

Bachelors

University of Science and Technology - Oran

September 2014 - July 2017

Certifications

• Programming for Everybody (Getting Started with Python)

  coursera-Michigan university

  https://coursera.org/ver ify/98Q6A2QGYQML

  June 2022 - Present

• Grammar and Punctuation

  cousera-University of California

  https://coursera.org/ver ify/T8SLJYNXWET6

  January 2022 - Present

• Cryptography and Information Theory

  Coursera-University of Colorado

  https://coursera.org/ver ify/DJM8K5YEX7CV

  January 2022 - Present

• Introduction to Cybersecurity Tools & Cyberattacks

  Coursera-IBM

  https://coursera.org/ver ify/3Q3WJ6FN3VQA

  January 2022 - Present

Publications

JOURNAL ARTICLE

Abderrahmane Lakhdari, Chaima Nefzi (2025). Multiplicity of couple solution for a fractional $$(\varphi , \psi )$$-like system . Fractional Calculus and Applied Analysis.

Abderrahmane Lakhdari (2025). Existence and regularity result for a Heisenberg $$\varphi $$-laplacian problem without space reflexivity . Rendiconti del Circolo Matematico di Palermo Series 2.

Abderrahmane Lakhdari, Kamel Tahri, Nedra Belhaj Rhouma(2023). The uniqueness solution for a fractional <i>φ</i>-Laplacian Dirichlet problem and its spectrum . Complex Variables and Elliptic Equations. p. 1--23. Informa {UK} Limited

Abderrahmane Lakhdari, Nedra Belhaj Rhouma, Mounir Hsini (2023). A Moser–Trudinger type inequality on the Orlicz fractional space . Journal of Elliptic and Parabolic Equations.