أعضاء هيئة التدريس | مواقع أعضاء هيئة التدريس

د.توفيق علي . مولاهي

دكتوراة أستاذ مساعد كلية العلوم والدراسات الانسانية بحوطة بني تميم

كلية العلوم والدراسات الإنسانية بحوطة بني تميم
011-588-8888
t.moulahi@psau.edu.sa

السيرة الذاتية
الأبحاث العلمية

المؤهلات العلمية

2010: شهادة البكالوريوس 2010: البكالوريوس في الرياضيات
2012: ماجستير بحث
2016 : دكتوراة في الرياضيات

الاهتمامات البحثية

* المعادلات التفاضلية الجزئية (Partial Differential Equations – PDEs).
* التحليل الرياضي والتحليل الدالي (Mathematical and Functional Analysis).
* نظرية المؤثرات وأنصاف الزمر (Operator and Semigroup Theory).
* نظرية الاستقرار ومعدلات اضمحلال الطاقة، بما في ذلك الاستقرار الأسي ومتعدد الحدود.
* المرونة الحرارية ونظرية الانتشار الحراري (Thermoelasticity and Thermodiffusion).
* الأنظمة الحرارية المرنة ذات الذاكرة ونماذج التوصيل الحراري غير التقليدية.
* تحليل واستقرار نماذج العوارض والصفائح، بما في ذلك Timoshenko وEuler–Bernoulli وvon Kármán.
* مسائل التحكم والتحكم التقريبي والدقيق للأنظمة التطورية.
* التحليل الطيفي للأنظمة التفاضلية المقترنة.
* حساب التفاضل والتكامل الكسري والمعادلات التفاضلية الكسرية (Fractional Calculus and Fractional Differential Equations).
* مسائل القيم الحدية الكسرية ومؤثرات Caputo وHilfer والمشتقات الكسرية المعممة.
* نظرية النقطة الثابتة والمؤثرات الانكماشية (Fixed Point Theory and Contractive Operators).
* التحليل الكسيري والاستيفاء الكسيري ومتعدد الكسور (Fractal Interpolation and Multifractal Analysis).
* انتشار الموجات في الأوساط الحرارية المرنة والمسامية ومتعددة المسامية.
* النمذجة الرياضية للتفاعلات الضوئية والحرارية والمرنة والانتشارية في المواد.
* النمذجة الرياضية وتطبيقات المعادلات التفاضلية والكسرية في العلوم والهندسة.

الخبرات

2015 - 2021 - استاذ مساعد - تونس

مهام ومسؤوليات

2017-2020 : منسق العمل العملي في الرياضيات التطبيقية مع ماتلاب (التحليل العددي ، الاحتمالت والاحصاء) منذ اكتوبر 2020 : عضو المجلس العلمي الوطني بالمدرسة الهندسة بالمنستير- تونس.

الأبحاث العلمية

 [1] A. J. A. RAMOS1, T. Moulahi, M. Aaoudi, I. Mahfoudhi, Polynomial stability and numerical treatment for a Timoshenko beam with thermodiffusion effects and1. Taoufik Moulahi, Moncef Aouadi, S. Althobaiti, Exact controllability for nonlinear thermoviscoelastic plate problem, Demonstratio Mathematica, vol. 57, no. 1, pp. 1–20, 2024.
2. Taoufik Moulahi, Moncef Aouadi, Imed Kedim, Upper bounds on decay rates in Mindlin’s Form II gradient thermoelasticity of type III, Demonstratio Mathematica, vol. 59, no. 1, Article 2025-0231, 2026.
3. Taoufik Moulahi, Y. Bouteraa, A. Ahmed, E. S. Elidy, Gravitational body-force effects on coupled plasma-thermoelastic and photoacoustic wave propagation in semiconductor materials, Journal of Engineering Research, 2026.
4. Taoufik Moulahi, Y. Bouteraa, E. S. Elidy, H. A. Sayed, Wave propagation in a photo-thermomechanical medium with triple porosity and voids under the Lord–Shulman theory, Scientific Reports, vol. 16, no. 1, Article 25880, 2026.
5. Taoufik Moulahi, Najmeddine Attia, Nonlinear Fractal Interpolation Functions Induced by General Integral Contractions, Fractal and Fractional, vol. 10, no. 3, Article 178, 2026.
6. Moncef Aouadi, Taoufik Moulahi, Najmeddine Attia, Thermoelastic Extensible Timoshenko Beam with Symport Term: Singular Limits, Lack of Differentiability and Optimal Polynomial Decay, Mathematics, vol. 13, no. 5, Article 854, 2025.
7. Moncef Aouadi, Taoufik Moulahi, Najmeddine Attia, M. Al Nuwairan, Spectral analysis for coupled extensible Euler-Bernoulli beams with fractional derivative damping, Fractional Calculus and Applied Analysis, vol. 29, no. 4, pp. 2346–2379, 2026.
8. Moncef Aouadi, Taoufik Moulahi, Najmeddine Attia, M. Al Nuwairan, Effect of Geometric Nonlinearity on Stability Results of Extensible Two Beams With Time Fractional Delays, Journal of Mathematics, no. 1, pp. 1–22, 2026.
9. S. T. M. Thabet, N. A. Karaw, Taoufik Moulahi, T. Abdeljawad, On the solution structure of fractional integro-differential equations via a new (ω, φ)-Caputo derivative with the modified generalized Mittag-Leffler kernel, Journal of Applied Mathematics and Computing, vol. 72, no. 3, Article 131, 2026.
10. Moncef Aouadi, Taoufik Moulahi, Imed Kedim, On singular limits and exponential decay in full von Kármán beam with temperature and microtemperatures, Open Mathematics, vol. 24, no. 1, Article 2025-0244, 2026.
11. Imed Kedim, Moncef Aouadi, Taoufik Moulahi, Some decay results in Timoshenko beam with microtemperatures of type III, Boundary Value Problems, no. 1, pp. 1–27, 2026.
12. Imed Kedim, Taoufik Moulahi, A. Ahmed, E. S. Elidy, Analysis of thermoelastic wave behavior in double porous structures induced by laser pulse heating, Continuum Mechanics and Thermodynamics, vol. 38, no. 2, 2026.
13. Imed Kedim, Taoufik Moulahi, R. S. Tantawi, E. S. Elidy, Two-Temperature Thermoelastic Wave Propagation in a Double-Porosity Semiconductor Using the DPL Model with Initial Hydrostatic Stress, Silicon, vol. 18, no. 11, pp. 3771–3789, 2026.
14. Najmeddine Attia, Taoufik Moulahi, A. Ahmed, E. S. Elidy, Wave propagation in dual-porosity media under the combined effects of light, heat, elasticity, and gravity, Scientific Reports, vol. 16, no. 1, Article 18165, 2026.
15. Z. Ullah, J. Hao, S. T. M. Thabet, Taoufik Moulahi, Exponential stabilization and finite time blow-up in a fractional thermal piezoelectric beam with delay, Scientific Reports, vol. 16, no. 1, Article 6479, 2026.
16. Najmeddine Attia, Taoufik Moulahi, A. Ahmed, E. S. Elidy, Unified photo-thermoelastic-diffusive model with voids and micro-concentrations for gradually increasing heat generation, Mechanics Research Communications, vol. 156, Article 104763, 2026.
17. Najmeddine Attia, Taoufik Moulahi, A. Ahmed, E. S. Elidy, Wave propagation in a rotating thermoelastic medium with triple porosity under L–S theory, The European Physical Journal Plus, vol. 141, no. 7, Article 767, 2026.
18. M. Kaid, K. Ould Melha, S. T. M. Thabet, K. Aldwoah, Taoufik Moulahi, Solvability of Caputo boundary value problem of fractional high-order with integral value conditions, Journal of Applied Mathematics and Computing, vol. 72, no. 6, Article 181, 1–28, 2026.
19. Taoufik Moulahi, Najmeddine Attia, New Results on Fixed Points and Coupled Fixed Points for α-Admissible Condensing Operators, Axioms, vol. 15, no. 6, Article 387, 1–11, 2026.
20. B. W. Samuel, G. Mani, S. K. Gopalakrishnan, S. T. M. Thabet, Taoufik Moulahi, Novel results for Wardowski contraction principle in triple-controlled orthogonal 𝒮-metric space with applications to fractional equations, Fixed Point Theory and Algorithms for Sciences and Engineering, no. 1, Article 8, 1–19, 2026.
21. Najmeddine Attia, Taoufik Moulahi, Weighted Random Averages and Recursive Interpolation in Fibonacci Sequences, Fractal and Fractional, vol. 10, no. 1, Article 33, 1–22, 2026.
22. M. S. Souid, H. Benali, S. T. M. Thabet, Taoufik Moulahi, Fractional Integral Inequalities via Caputo k-Derivatives for Generalized Strongly Modified h-Convex Functions, Journal of Function Spaces, no. 1, Article 6609601, 2026.
23. M. Kaid, K. Ould Melha, M. E. Samei, S. T. M. Thabet, Taoufik Moulahi, T. Abdeljawad, H. Ramos Calle, On the Solution Structure of Sequential φ-Hilfer Fractional Differential Equations With p-Laplacian Operator, Computational and Mathematical Methods, no. 1, Article 2415286, 1–16, 2026.
24. Najmeddine Attia, Taoufik Moulahi, Densities of measures: fine properties and examples, Demonstratio Mathematica, vol. 58, no. 1, Article 20250217, 1–18, 2025.
25. Najmeddine Attia, Taoufik Moulahi, Multifractal Structure of Irregular Sets via Weighted Random Sequences, Fractal and Fractional, vol. 9, no. 12, Article 793, 1–19, 2025.
26. S. U. Rehman, M. Sohail, T. Mahmood, H. A. Abujabal, Taoufik Moulahi, M. I. Haider, A. Alsinai, On Weak Compatible Mappings, 3-D Column Graphs Approach in Multiplicative Generalized Metric Spaces With an Application, Journal of Mathematics, Article 5896053, 2025.
27. Najmeddine Attia, Taoufik Moulahi, R. Amami, N. Saidi, Note on fractal interpolation function with variable parameters, AIMS Mathematics, vol. 9, no. 2, pp. 2584–2601, 2024.
28. Taoufik Moulahi et al., A mathematical analysis of human papilloma virus (HPV) disease using fractional calculus, 2026.
29. J. Zuo, Taoufik Moulahi, On a sublinear Robin equations involving μ(x)-Laplacian with small perturbation, Periodica Mathematica Hungarica, vol. 90, no. 2, pp. 349–360, 2025.
30. Moncef Aouadi, I. Mahfoudhi, Taoufik Moulahi, Decay and numerical results in nonsimple viscoelasticity, Journal of Mathematical Physics, vol. 62, no. 3, Article 032701, 2021.
31. Moncef Aouadi, I. Mahfoudhi, Taoufik Moulahi, Approximate controllability of nonsimple elastic plate with memory, Discrete and Continuous Dynamical Systems – S, 2021.
32. Imed Kedim, Taoufik Moulahi, et al., Thermoelastic interactions in generalized media, International Journal of Modern Physics C, 2021.
33. Moncef Aouadi, I. Mahfoudhi, Taoufik Moulahi, Boundary Stabilization of a Thermoelastic Diffusion System of Type II, Acta Applicandae Mathematicae, vol. 169, no. 1, pp. 499–522, 2020.
34. Moncef Aouadi, Taoufik Moulahi, The controllability of a thermoelastic plate problem revisited, Evolution Equations and Control Theory, vol. 7, no. 1, pp. 1–31, 2018.
35. Moncef Aouadi, Taoufik Moulahi, Asymptotic analysis of a nonsimple thermoelastic rod, Discrete and Continuous Dynamical Systems – S, vol. 9, no. 5, pp. 1475–1492, 2016.
36. Moncef Aouadi, Taoufik Moulahi, Spectral analysis of thermoelastic systems under nonclassical thermal models, Journal of Thermal Stresses, vol. 40, no. 1, pp. 3–24, 2017.
37. Moncef Aouadi, Taoufik Moulahi, Approximate controllability of abstract nonsimple thermoelastic problem, Evolution Equations and Control Theory, vol. 4, no. 4, pp. 373–389, 2015.
38. Taoufik Moulahi, Moncef Aouadi, Optimal decay rate for unidimensional thermoelastic problem within the Green–Lindsay model, Journal of Thermal Stresses, vol. 38, pp. 1201–1218, 2015.

1. Taoufik Moulahi, Moncef Aouadi, S. Althobaiti, Exact controllability for nonlinear thermoviscoelastic plate problem, Demonstratio Mathematica, vol. 57, no. 1, pp. 1–20, 2024.
2. Taoufik Moulahi, Moncef Aouadi, Imed Kedim, Upper bounds on decay rates in Mindlin’s Form II gradient thermoelasticity of type III, Demonstratio Mathematica, vol. 59, no. 1, Article 2025-0231, 2026.
3. Taoufik Moulahi, Y. Bouteraa, A. Ahmed, E. S. Elidy, Gravitational body-force effects on coupled plasma-thermoelastic and photoacoustic wave propagation in semiconductor materials, Journal of Engineering Research, 2026.
4. Taoufik Moulahi, Y. Bouteraa, E. S. Elidy, H. A. Sayed, Wave propagation in a photo-thermomechanical medium with triple porosity and voids under the Lord–Shulman theory, Scientific Reports, vol. 16, no. 1, Article 25880, 2026.
5. Taoufik Moulahi, Najmeddine Attia, Nonlinear Fractal Interpolation Functions Induced by General Integral Contractions, Fractal and Fractional, vol. 10, no. 3, Article 178, 2026.
6. Moncef Aouadi, Taoufik Moulahi, Najmeddine Attia, Thermoelastic Extensible Timoshenko Beam with Symport Term: Singular Limits, Lack of Differentiability and Optimal Polynomial Decay, Mathematics, vol. 13, no. 5, Article 854, 2025.
7. Moncef Aouadi, Taoufik Moulahi, Najmeddine Attia, M. Al Nuwairan, Spectral analysis for coupled extensible Euler-Bernoulli beams with fractional derivative damping, Fractional Calculus and Applied Analysis, vol. 29, no. 4, pp. 2346–2379, 2026.
8. Moncef Aouadi, Taoufik Moulahi, Najmeddine Attia, M. Al Nuwairan, Effect of Geometric Nonlinearity on Stability Results of Extensible Two Beams With Time Fractional Delays, Journal of Mathematics, no. 1, pp. 1–22, 2026.
9. S. T. M. Thabet, N. A. Karaw, Taoufik Moulahi, T. Abdeljawad, On the solution structure of fractional integro-differential equations via a new (ω, φ)-Caputo derivative with the modified generalized Mittag-Leffler kernel, Journal of Applied Mathematics and Computing, vol. 72, no. 3, Article 131, 2026.
10. Moncef Aouadi, Taoufik Moulahi, Imed Kedim, On singular limits and exponential decay in full von Kármán beam with temperature and microtemperatures, Open Mathematics, vol. 24, no. 1, Article 2025-0244, 2026.
11. Imed Kedim, Moncef Aouadi, Taoufik Moulahi, Some decay results in Timoshenko beam with microtemperatures of type III, Boundary Value Problems, no. 1, pp. 1–27, 2026.
12. Imed Kedim, Taoufik Moulahi, A. Ahmed, E. S. Elidy, Analysis of thermoelastic wave behavior in double porous structures induced by laser pulse heating, Continuum Mechanics and Thermodynamics, vol. 38, no. 2, 2026.
13. Imed Kedim, Taoufik Moulahi, R. S. Tantawi, E. S. Elidy, Two-Temperature Thermoelastic Wave Propagation in a Double-Porosity Semiconductor Using the DPL Model with Initial Hydrostatic Stress, Silicon, vol. 18, no. 11, pp. 3771–3789, 2026.
14. Najmeddine Attia, Taoufik Moulahi, A. Ahmed, E. S. Elidy, Wave propagation in dual-porosity media under the combined effects of light, heat, elasticity, and gravity, Scientific Reports, vol. 16, no. 1, Article 18165, 2026.
15. Z. Ullah, J. Hao, S. T. M. Thabet, Taoufik Moulahi, Exponential stabilization and finite time blow-up in a fractional thermal piezoelectric beam with delay, Scientific Reports, vol. 16, no. 1, Article 6479, 2026.
16. Najmeddine Attia, Taoufik Moulahi, A. Ahmed, E. S. Elidy, Unified photo-thermoelastic-diffusive model with voids and micro-concentrations for gradually increasing heat generation, Mechanics Research Communications, vol. 156, Article 104763, 2026.
17. Najmeddine Attia, Taoufik Moulahi, A. Ahmed, E. S. Elidy, Wave propagation in a rotating thermoelastic medium with triple porosity under L–S theory, The European Physical Journal Plus, vol. 141, no. 7, Article 767, 2026.
18. M. Kaid, K. Ould Melha, S. T. M. Thabet, K. Aldwoah, Taoufik Moulahi, Solvability of Caputo boundary value problem of fractional high-order with integral value conditions, Journal of Applied Mathematics and Computing, vol. 72, no. 6, Article 181, 1–28, 2026.
19. Taoufik Moulahi, Najmeddine Attia, New Results on Fixed Points and Coupled Fixed Points for α-Admissible Condensing Operators, Axioms, vol. 15, no. 6, Article 387, 1–11, 2026.
20. B. W. Samuel, G. Mani, S. K. Gopalakrishnan, S. T. M. Thabet, Taoufik Moulahi, Novel results for Wardowski contraction principle in triple-controlled orthogonal 𝒮-metric space with applications to fractional equations, Fixed Point Theory and Algorithms for Sciences and Engineering, no. 1, Article 8, 1–19, 2026.
21. Najmeddine Attia, Taoufik Moulahi, Weighted Random Averages and Recursive Interpolation in Fibonacci Sequences, Fractal and Fractional, vol. 10, no. 1, Article 33, 1–22, 2026.
22. M. S. Souid, H. Benali, S. T. M. Thabet, Taoufik Moulahi, Fractional Integral Inequalities via Caputo k-Derivatives for Generalized Strongly Modified h-Convex Functions, Journal of Function Spaces, no. 1, Article 6609601, 2026.
23. M. Kaid, K. Ould Melha, M. E. Samei, S. T. M. Thabet, Taoufik Moulahi, T. Abdeljawad, H. Ramos Calle, On the Solution Structure of Sequential φ-Hilfer Fractional Differential Equations With p-Laplacian Operator, Computational and Mathematical Methods, no. 1, Article 2415286, 1–16, 2026.
24. Najmeddine Attia, Taoufik Moulahi, Densities of measures: fine properties and examples, Demonstratio Mathematica, vol. 58, no. 1, Article 20250217, 1–18, 2025.
25. Najmeddine Attia, Taoufik Moulahi, Multifractal Structure of Irregular Sets via Weighted Random Sequences, Fractal and Fractional, vol. 9, no. 12, Article 793, 1–19, 2025.
26. S. U. Rehman, M. Sohail, T. Mahmood, H. A. Abujabal, Taoufik Moulahi, M. I. Haider, A. Alsinai, On Weak Compatible Mappings, 3-D Column Graphs Approach in Multiplicative Generalized Metric Spaces With an Application, Journal of Mathematics, Article 5896053, 2025.
27. Najmeddine Attia, Taoufik Moulahi, R. Amami, N. Saidi, Note on fractal interpolation function with variable parameters, AIMS Mathematics, vol. 9, no. 2, pp. 2584–2601, 2024.
28. Taoufik Moulahi et al., A mathematical analysis of human papilloma virus (HPV) disease using fractional calculus, 2026.
29. J. Zuo, Taoufik Moulahi, On a sublinear Robin equations involving μ(x)-Laplacian with small perturbation, Periodica Mathematica Hungarica, vol. 90, no. 2, pp. 349–360, 2025.
30. Moncef Aouadi, I. Mahfoudhi, Taoufik Moulahi, Decay and numerical results in nonsimple viscoelasticity, Journal of Mathematical Physics, vol. 62, no. 3, Article 032701, 2021.
31. Moncef Aouadi, I. Mahfoudhi, Taoufik Moulahi, Approximate controllability of nonsimple elastic plate with memory, Discrete and Continuous Dynamical Systems – S, 2021.
32. Imed Kedim, Taoufik Moulahi, et al., Thermoelastic interactions in generalized media, International Journal of Modern Physics C, 2021.
33. Moncef Aouadi, I. Mahfoudhi, Taoufik Moulahi, Boundary Stabilization of a Thermoelastic Diffusion System of Type II, Acta Applicandae Mathematicae, vol. 169, no. 1, pp. 499–522, 2020.
34. Moncef Aouadi, Taoufik Moulahi, The controllability of a thermoelastic plate problem revisited, Evolution Equations and Control Theory, vol. 7, no. 1, pp. 1–31, 2018.
35. Moncef Aouadi, Taoufik Moulahi, Asymptotic analysis of a nonsimple thermoelastic rod, Discrete and Continuous Dynamical Systems – S, vol. 9, no. 5, pp. 1475–1492, 2016.
36. Moncef Aouadi, Taoufik Moulahi, Spectral analysis of thermoelastic systems under nonclassical thermal models, Journal of Thermal Stresses, vol. 40, no. 1, pp. 3–24, 2017.
37. Moncef Aouadi, Taoufik Moulahi, Approximate controllability of abstract nonsimple thermoelastic problem, Evolution Equations and Control Theory, vol. 4, no. 4, pp. 373–389, 2015.
38. Taoufik Moulahi, Moncef Aouadi, Optimal decay rate for unidimensional thermoelastic problem within the Green–Lindsay model, Journal of Thermal Stresses, vol. 38, pp. 1201–1218, 2015.

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مواقع أعضاء هيئة التدريس

د.توفيق علي . مولاهي

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مهام ومسؤوليات

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د.توفيق علي . مولاهي

المؤهلات العلمية

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مهام ومسؤوليات

الأبحاث العلمية

إدارة العلاقات العامة والإعلام