Department
Mathematics Department
Research Interests
Contact Info
University of M'Sila, Algeria
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Recent Publications
Asymptotic behavior of generalized self-similar solutions for a nonlinear hybrid problem of porous medium equations
Citation
M. BASTI Bilal, (2025-12-31), "Asymptotic behavior of generalized self-similar solutions for a nonlinear hybrid problem of porous medium equations", [international] Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica , Paradigm - Pedagogical University of Cracow
Predicting Cutaneous Leishmaniasis Dynamics Through Mathematical Modeling
Citation
M. BASTI Bilal, (2025-12-09), "Predicting Cutaneous Leishmaniasis Dynamics Through Mathematical Modeling", [national] The Fourth National Conference in Mathematics, Biology, and Medicine (Edition 2025) , University Pole of Mohamed Boudiaf - M'sila
Stability Analysis and Implications for Studying Tuberculosis Dynamics in Algeria
Citation
M. BASTI Bilal, (2025-11-30), "Stability Analysis and Implications for Studying Tuberculosis Dynamics in Algeria", [national] The First National Conference on Mathematical Analysis and Algebra , École Normale Supérieure de Bou-Saâda - El Moudjahid Ahmed Gaïd Salah, Algeria
Traveling Profile Solutions for Parabolic Equations Describing Diffusion Phenomena
Citation
M. BASTI Bilal, (2025-11-01), "Traveling Profile Solutions for Parabolic Equations Describing Diffusion Phenomena", [international] African Conference on Research in Computer Science and Applied Mathematics , Birkhäuser, Cham
On n-nonlinear Caputo fractional q-differential systems
Citation
M. BASTI Bilal, (2025-10-10), "On n-nonlinear Caputo fractional q-differential systems", [international] Filomat , Faculty of Sciences and Mathematics, University of Nis, Serbia
Nonlinear Fractional q-Differential Equations Involving Hilfer-Katugampola Derivatives of Moving Orders
Citation
M. BASTI Bilal, (2025-10-07), "Nonlinear Fractional q-Differential Equations Involving Hilfer-Katugampola Derivatives of Moving Orders", [international] Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis , Watam Press, Waterloo, Ontario, CANADA, N2L3G1
Traveling Wave Solutions for an Initial Value Problem of Generalized Fractional Nonlinear Korteweg–de Vries Equations
Citation
M. BASTI Bilal, (2025-03-21), "Traveling Wave Solutions for an Initial Value Problem of Generalized Fractional Nonlinear Korteweg–de Vries Equations", [international] Mathematical Methods in the Applied Sciences , John Wiley & Sons Ltd
Mathematical Exploration of Malaria Transmission Dynamics: Insights from Fractional Models and Numerical Simulation
Citation
M. BASTI Bilal, (2025-02-21), "Mathematical Exploration of Malaria Transmission Dynamics: Insights from Fractional Models and Numerical Simulation", [international] Advanced Theory and Simulations , Wiley-VCH GmbH
Mathematical Insights to Control Epidemics Using Fractional Operators
Citation
M. BASTI Bilal, (2024-12-15), "Mathematical Insights to Control Epidemics Using Fractional Operators", [international] International Conference on Mathematics and its Applications in Science and Technology , Setif 1 University Ferhat Abbas
Exploring nonlinear effects in fractional reaction-diffusion/wave equations
Citation
M. BASTI Bilal, (2024-12-07), "Exploring nonlinear effects in fractional reaction-diffusion/wave equations", [national] 4th National Conference of Mathematics and Applications , Mila University Center
Traveling Profile Solutions for Parabolic Equations Describing Diffusion Phenomena
Citation
M. BASTI Bilal, (2024-11-23), "Traveling Profile Solutions for Parabolic Equations Describing Diffusion Phenomena", [international] 17th African Conference on Research in Computer Science and Applied Mathematics-Digital Sciences in Africa , University of Bejaia, Algeria
Analysis of fractional model for infectious diseases with a focus on chronic conditions in Algeria
Citation
M. BASTI Bilal, (2024-10-20), "Analysis of fractional model for infectious diseases with a focus on chronic conditions in Algeria", [international] The Sixth International Colloquium on Methods and Tools for Decision Support , University Mouloud Mammeri of Tizi-Ouzou, Algeria
Modeling Physical Phenomena Using Fractional Partial Differential Equations
Citation
M. BASTI Bilal, (2024-10-06), "Modeling Physical Phenomena Using Fractional Partial Differential Equations", [national] National Seminar on Modern Mathematics and Application , Mokhtar Badji University of Annaba, Algeria
Existence results for a coupled system of multi-term Katugampola fractional differential equations with integral conditions
Citation
M. BASTI Bilal, (2024-09-12), "Existence results for a coupled system of multi-term Katugampola fractional differential equations with integral conditions", [national] Jordan Journal of Mathematics and Statistics , Deanship of Scientific Research, Yarmouk University, Irbid, Jordan.
Fractal model for predicting the spread of certain pandemics in society
Citation
M. BASTI Bilal, (2024-08-23), "Fractal model for predicting the spread of certain pandemics in society", [international] The 24th International Pure Mathematics Conference 2024, Algebra, Analysis, and Geometry , University of Islamabad - Pakistan
Fractional Mathematical Model for Exploring the Influence of Infectious Diseases on Population with Chronic Conditions
Citation
M. BASTI Bilal, (2024-06-01), "Fractional Mathematical Model for Exploring the Influence of Infectious Diseases on Population with Chronic Conditions", [national] Advanced Theory and Simulations , Wiley-VCH GmbH
Mathematical Modeling and Analysis for Studying the Behavior of Infectious Diseases
Citation
M. BASTI Bilal, (2023-12-13), "Mathematical Modeling and Analysis for Studying the Behavior of Infectious Diseases", [national] Mathematical Modeling for Biology and Health "MMBS-2023" , Mohamed Boudiaf University of M'sila
Forecast and Analysis on the Spread of COVID-19 with Fractional Operators
Citation
M. BASTI Bilal, (2023-11-26), "Forecast and Analysis on the Spread of COVID-19 with Fractional Operators", [international] International Conference on Contemporary Mathematics and its Applications (ICCMA 2023) , Mila University Center, Algeria
Well-Posedness of the Multidimensional Nonlinear Free Energy Equation for Modeling Many Physical Phenomena
Citation
M. BASTI Bilal, (2023-11-20), "Well-Posedness of the Multidimensional Nonlinear Free Energy Equation for Modeling Many Physical Phenomena", [international] Statistiques et Analyse Avancées: Domaines d'Interactions et d'Applications (SAADIA 1) , l’université de Bejaia, Algeria
Cauchy problem for Jordan-Moore-Gibson-Thompson equations of nonlinear acoustics with fractional operators
Citation
M. BASTI Bilal, (2023-10-18), "Cauchy problem for Jordan-Moore-Gibson-Thompson equations of nonlinear acoustics with fractional operators", [national] Annals of the Alexandru Ioan Cuza University - Mathematics , Universitatii Al.I.Cuza din Iasi
Theoretical Studies on the Existence and Uniqueness of Solutions for a Multidimensional Nonlinear Time and Space-Fractional Reaction-Diffusion/Wave Equation
Citation
M. BASTI Bilal, (2023-09-01), "Theoretical Studies on the Existence and Uniqueness of Solutions for a Multidimensional Nonlinear Time and Space-Fractional Reaction-Diffusion/Wave Equation", [national] Memoirs on Differential Equations and Mathematical Physics , Andrea Razmadze Mathematical Institute
A hybrid model for a class of multidimensional nonlinear free energy equations
Citation
M. BASTI Bilal, (2023-08-26), "A hybrid model for a class of multidimensional nonlinear free energy equations", [international] 23rd International Pure Mathematics Conference , University of Islamabad - Pakistan
View analysis of nonlinear acoustic wave equations in terms of viscoelasticity
Citation
M. BASTI Bilal, (2023-07-04), "View analysis of nonlinear acoustic wave equations in terms of viscoelasticity", [national] The Second Online National Conference on Pure and Applied Mathematics , Université Echahid Cheikh Larbi Tebessi– Tebessa, Algeria
ANALYTICAL STUDIES FOR A HYBRID MATHEMATICAL MODEL OF COVID-19: THE INFLUENCE OF THE PANDEMIC ON CHRONICALLY ILL PEOPLE
Citation
M. BASTI Bilal, (2023-06-28), "ANALYTICAL STUDIES FOR A HYBRID MATHEMATICAL MODEL OF COVID-19: THE INFLUENCE OF THE PANDEMIC ON CHRONICALLY ILL PEOPLE", [international] 2nd Edition of the International Symposium & International Student Workshop on Interdisciplinary Mathematics in the CiTi areas (ISIM & ISWIM) , National University of Science and Technology POLITEHNICA Bucharest, Romania
Thermodynamical Problem of High-Frequency Ultra Sound Waves Equation with Fractional Operators
Citation
M. BASTI Bilal, (2023-06-01), "Thermodynamical Problem of High-Frequency Ultra Sound Waves Equation with Fractional Operators", [international] International Conference of Young Mathematicians , The Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine
Effective results concerning new functional solutions of fractional hyperbolic problems with an inverse source term
Citation
M. BASTI Bilal, (2023-05-14), "Effective results concerning new functional solutions of fractional hyperbolic problems with an inverse source term", [national] The first National Applied Mathematics Seminar , Mohamed Khider University of Biskra, Algeria
Application of Fractional Calculus in The Modeling of Biological Phenomena and Infectious Diseases
Citation
M. BASTI Bilal, (2023-05-13), "Application of Fractional Calculus in The Modeling of Biological Phenomena and Infectious Diseases", [national] Second National Conference on Applied Mathematics and Didactics , Ecole Normale Supérieure Assia Djebar – Constantine, Algeria
Existence Study of Solutions for a System of n-Nonlinear Fractional Differential Equations with Integral Conditions
Citation
M. BASTI Bilal, (2023-01-10), "Existence Study of Solutions for a System of n-Nonlinear Fractional Differential Equations with Integral Conditions", [national] Journal of Mathematical Physics, Analysis, Geometry , ILTPE-B. Verkin Institute for Low Temperature Physics and Engineering
Thermo-viscous elastic free boundary problem of fractional PDEs of nonlinear acoustics
Citation
M. BASTI Bilal, (2022-12-18), "Thermo-viscous elastic free boundary problem of fractional PDEs of nonlinear acoustics", [national] THE SECOND NATIONAL CONFERENCE ON PURE AND APPLIED MATHEMATICS (NCPAM2022) , Amar Telidji University of Laghouat, Algeria
Existence Of Traveling Wave Solutions For A Free Boundary Problem Of Higher-Order Space-Fractional Wave Equations
Citation
M. BASTI Bilal, (2022-09-27), "Existence Of Traveling Wave Solutions For A Free Boundary Problem Of Higher-Order Space-Fractional Wave Equations", [national] Applied Mathematics E - Notes , Tsinghua University
Analytical studies on the global existence and blow-up of solutions for a free boundary problem of two-dimensional diffusion equations of moving fractional order
Citation
M. BASTI Bilal, (2022-03-10), "Analytical studies on the global existence and blow-up of solutions for a free boundary problem of two-dimensional diffusion equations of moving fractional order", [national] Advances in the Theory of Nonlinear Analysis and its Application , DergiPark
Stability Analysis and Existence of Solutions for a Modified SIRD Model of COVID-19 with Fractional Derivatives
Citation
M. BASTI Bilal, (2021-08-04), "Stability Analysis and Existence of Solutions for a Modified SIRD Model of COVID-19 with Fractional Derivatives", [national] Symmetry , Multidisciplinary Digital Publishing Institute (MDPI)
Global existence and blow-up of generalized self-similar solutions for a space-fractional diffusion equation with mixed conditions
Citation
M. BASTI Bilal, (2021-05-29), "Global existence and blow-up of generalized self-similar solutions for a space-fractional diffusion equation with mixed conditions", [national] Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica , Sciendo, De Gruyter Brill company
Global Existence And Blow-Up Of Generalized Self-Similar Solutions To Nonlinear Degenerate Diffusion Equation Not In Divergence Form
Citation
M. BASTI Bilal, (2020-09-05), "Global Existence And Blow-Up Of Generalized Self-Similar Solutions To Nonlinear Degenerate Diffusion Equation Not In Divergence Form", [national] Applied Mathematics E - Notes , Tsinghua University
Existence results for nonlinear Katugampola fractional differential equations with an integral condition
Citation
M. BASTI Bilal, (2020-04-16), "Existence results for nonlinear Katugampola fractional differential equations with an integral condition", [national] Acta Mathematica Universitatis Comenianae , Univerzita Komenskeho
Existence Results of Self-similar Solutions to The Caputo-type’s Space-fractional Heat Equation
Citation
M. BASTI Bilal, (2020-02-07), "Existence Results of Self-similar Solutions to The Caputo-type’s Space-fractional Heat Equation", [national] Surveys in Mathematics and its Applications , University Constantin Brancusi of Targu-Jiu
Existence and Uniqueness of Solutions for Nonlinear Katugampola Fractional Differential Equations
Citation
M. BASTI Bilal, (2019-07-31), "Existence and Uniqueness of Solutions for Nonlinear Katugampola Fractional Differential Equations", [national] Journal of Mathematics and Applications , Rzeszów University of Technology.
Existence et unicité de solutions auto-similaires générales pour certaines équations fractionnaires non-linéaires
Citation
M. BASTI Bilal, (2019-05-04), "Existence et unicité de solutions auto-similaires générales pour certaines équations fractionnaires non-linéaires", [national] Mohamed Boudiaf University of M'sila
Initial Value Problem For Nonlinear Implicit Fractional Differential Equations With Katugampola Derivative
Citation
M. BASTI Bilal, (2019-01-01), "Initial Value Problem For Nonlinear Implicit Fractional Differential Equations With Katugampola Derivative", [national] Applied Mathematics E - Notes , Tsinghua University