Current Issue

Vol. 1 No. 2 (2021): December - MMNSA
					View Vol. 1 No. 2 (2021): December - MMNSA
Published: 2021-11-26

Research Articles

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About the Journal

ISSN Online: 2791-8564



Mehmet Yavuz, PhD, Necmettin Erbakan University, Turkey


Technical Editor

Halil İbrahim Özer  - Necmettin Erbakan University, Turkey

English Editor

Abdulkadir Ünal  - Alanya Alaaddin Keykubat University, Turkey

Editorial Secretariat

Fatma Özlem Coşar, Necmettin Erbakan University, Turkey

Müzeyyen Akman, Necmettin Erbakan University, Turkey



Aims and Scope

The Mathematical Modelling and Numerical Simulation with Applications (MMNSA) is an international research journal, which publishes top-level original and review papers, short communications and proceedings on mathematical modelling in biology, engineering, medicine, chemistry, physics, and other areas. MMNSA focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves interdisciplinary processes, and contributions in this area with numerical simulations are also encouraged. The scope of the journal is devoted to mathematical modelling with sufficiently advanced models, and the works studying mainly the existence and stability of stationary points of ODE systems without applications are not considered. The scope of the journal also includes applied mathematics and mathematical analysis in the context of its applications to real-world problems. The journal is essentially functioning on the basis of topical issues representing active areas of research.  The authors are invited to submit papers to the announced issues or to suggest new issues.
Journal publishes research articles and reviews within the whole field of mathematical modelling, and it will continue to provide information on the latest trends and developments in this ever-expanding subject.

Journal Topics

Mathematical Modelling, Applied Mathematics, Financial Mathematics, Control Theory,  Modeling of Real-World Problems, Numerical Simulation, Fractional Calculus and Applications, Modeling of Bio-systems for Optimization and Control, Control Theory and Fuzzy Theory with Applications, Linear Programming, Nonlinear Programming, Stochastic Programming, Dynamic Programming, Nonlinear Dynamics, Stochastic Differential Equations, Operational Research in Life and Human Sciences, Applications Related to Control on Engineering.

Editorial Board Members (In Alphabetical Order)

  • Abdeljawad, Thabet - Prince Sultan University, Saudi Arabia.
    Research Topics: Fractional-order modelling, functional analysis, fixed-point theory.

  • Agarwal, Praveen - Anand International College of Engineering, India.
    Research Topics: Fractional calculus, integral transform, special functions, mathematical physics, fixed point theory.

  • Aguilar, José Francisco Gómez - CONACyT- National Center for Technological Research and Development, Mexico.
    Research Topics: Bioelectromagnetism, fractional calculus, control theory, numerical methods, porous media, process control, nonlinear dynamics, modelling.

  • Ahmad, Hijaz - International Telematic University Uninettuno, Italy.
    Research Topics: Mathematical physics, mathematical modelling, fluid dynamics, energy, numerical analysis.

  • Arqub, Omar Abu - Al-Balqa Applied University, Jordan.
    Research Topics: Numerical analysis, computational optimization, fuzzy differential equations and applications, integrodifferential equations.

  • Asjad, Muhammad Imran - University of Management and Technology, Pakistan.
    Research Topics: Fluid dynamics, heat and mass transport phenomena, modelling with ordinary and partial differential equations, integral transforms applications.

  • Atangana, Abdon - Faculty of Natural and Agricultural, Sciences, University of the Free State, South Africa.
    Research Topics: Methods and application of nonlinear equations, fractional calculus and their applications to real-world problems, application of partial, ordinary, and fractional differential equations to groundwater problems, perturbation and asymptotic methods, numerical methods for ODEs and PDEs, integral transforms, groundwater flow models, groundwater transport models.

  • Baleanu, Dumitru - Cankaya University, Turkey; Institute of Space Sciences, Bucharest, Romania.
    Research Topics: Fractional dynamics and its applications, control systems, nonlinear dynamics, mathematical physics.

  • Başkonuş, Hacı Mehmet - Harran University, Turkey
    Research Topics: Applied mathematics, analytical and numerical methods for ODEs and PDEs, contour surfaces, fluid dynamics, modelling with chaotic behaviors.

  • Bonyah, Ebenezer - Department of Mathematics Education, Ghana.
    Research Topics: Modelling the dynamics and control of infectious diseases in deterministic and non-deterministic contexts.

  • Bulai, Iulia Martina - University of Basilicata, Italy.
    Research Topics: Electrical activity in endocrine cells, eco-epidemiological mathematical models, wastewater bioremediation, mathematical modelling, biological systems, applied mathematics.

  • Dassios, Ioannis - University College Dublin, Ireland.
    Research Topics: Singular systems, fractional calculus, optimization, mathematical modelling, networks.

  • Eskandari, Zohreh - Shahrekord University, Iran.
    Research Topics: Dynamical systems, bifurcation theory, numerical methods in applied dynamical systems, symmetric bifurcations of maps, numerical methods in ordinary differential equations, mathematical biology.

  • Flaut, Cristina - Ovidius University of Constanta, Romania
    Research  Topics: Optimization, algebra and its applications, mathematical modelling.

  • González, Francisco Martínez - Universidad Politécnica de Cartagena, Spain.
    Research Topics: Fractional and fractal calculus, numerical methods, modelling in epidemiology, nonlinear dynamics, optimisation.

  • Gürbüz, Burcu - Johannes Gutenberg-University Mainz, Institute of Mathematics, Germany.
    Research Topics: Dynamical systems, differential equations, qualitative analysis, mathematical biology, numerical methods, programming.

  • Hammouch, Zakia - ENS Moulay Ismail University Morocco, Thu Dau Mot University Vietnam and China Medical University, Taiwan
    Research Topics: Soliton theory, fluids mechanics, thermal sciences, computational methods, variable order modelling.
  • Hristov, Jordan - University of Chemical Technology and Metallurgy, Bulgaria.
    Research Topics: Mathematical modelling, fractal and fractional calculation, fluid dynamics, transport phenomena in external physical fields, heat transfer during fire, modelling of risk and safety.

  • Ibadula, Denis - Ovidius University of Constanta, Romania
    Research  Topics: Algebraic number theory, zeta functions, hyperplane arrangements.

  • Jafari, Hossein - University of Mazandaran, Iran; University of South Africa, UNISA003, South Africa.
    Research Topics: Fractional dynamics and its applications, lie symmetry, mathematical physics.

  • Jajarmi, Amin - University of Bojnord, Iran
    Research  Topics: Computational methods of optimal control problems, fractional modelling with real-world applications, nonlinear dynamics and fractional-order systems.

  • Jain, Shilpi - Poornima College of Engineering, Jaipur, India.
    Research Topics: Relativity theory, special functions, fractional calculus, fixed point theory.

  • Kaabar, Mohammed K.A. - Washington State University, USA.
    Research Topics: Fractional and fractal calculus, soliton theory, numerical methods, modelling epidemic diseases via fractional derivatives, q-calculus, applied analysis.

  • Kumar, Devendra - University of Rajasthan, India.
    Research Topics: Fractional differential equations, mathematical modelling, nonlinear dynamics, applied analysis, special functions.
  • Kumar, Sunil - National Institute of Technology, India.
    Research Topics: Fractional calculus, epidemiological modelling, infectious disease models, nonlinear dynamics and chaos.

  • Lupulescu, Vasile - Constantin Brâncuşi University of Târgu-Jiu, Romania.
    Research Topics: Fuzzy differential equations, fuzzy fractional differential equations, fractional differential equations, differential inclusions, evolution equations, differential equations on time scales.
  • Merdan, Hüseyin - TOBB University of Economy and Technology, Department of Mathematics, Turkey.
    Research Topics: Financial mathematics, stability analysis, mathematical biology, mathematical modeling, bifurcation and chaos.

  • Mohammed S. Abdo - Hodeidah University, Al-Hodeidah, Department of Mathematics, Yemen.
    Research  Topics: Theory of fractional differential equations, functional analysis, mathematical models in biological and medical phenomena.
  • Naik, Parvaiz Ahmad - School of Mathematics and Statistics, Xi'an Jiaotong University, China.
    Research Topics: Computational biology, mathematical modeling, neuroscience, calcium signalling.

  • Noeiaghdam, Samad - Irkutsk National Research Technical University, Russian Federation.
    Research Topics: Numerical analysis, stochastic arithmetic, fuzzy mathematics, integral equations.

  • Owolabi, Kolade - Federal University of Technology, Nigeria.
    Research Topics: Computational mathematics, fractional calculus and their applications to real-world problems, numerical analysis, mathematical biology.
  • Özdemir, Necati - Balıkesir University, Turkey
    Research Topics: Fractional optimal control theory, mathematical biology, financial mathematics, modeling with artificial intelligence.

  • Pinto, Carla M.A. - ISEP, Portugal
    Research Topics: Dynamical systems, coupled cell networks, mathematical models of animal and robot, mathematical models in epidemiology.

  • Qureshi, Sania - Mehran University of Engineering and Technology, Pakistan
    Research Topics: Numerical analysis of classical and fractional ODEs, mathematical modelling in epidemiology, parameter estimation techniques.

  • Safaei, Mohammad Reza - Florida International University, USA
    Research Topics: Heat transfer (convection & radiation), fluid flow, CFD, Finite Volume Method (FVM), multiphase transport phenomena, thermal energy storage, turbulence fluids & modeling, micro and nano fluids, non-Newtonian fluids, renewable energy (solar energy & biofuels), air pollution control.
  • Sarı, Murat - Yıldız Technical University, Turkey
    Research Topics: Numerical and computational methods, optimization, financial modelling, advection-diffusion models, stochastic processes.

  • Sene, Ndolane - Cheikh Anta Diop University, Senegal.
    Research Topics: Viscoelastic models, stability analysis of fractional-order systems, bifurcation and chaos, fluid dynamics.

  • Singh, Jagdev - JECRC University, India.
    Research Topics: Fractional calculus, mathematical modelling, applied analysis, special functions, numerical and analytical methods.

  • Torres, Delfim F. M. - University of Aveiro, Portugal.
    Research Topics: Mathematical modelling, optimal control theory, fractional calculus and applications, modeling of bio-systems for optimization and control, nonlinear programming, nonlinear dynamics, dynamic equations on time scales, mathematical biology.
  • Townley, Stuart - University of Exeter, United Kingdom.
    Research Topics: Mathematical systems theory, dynamical systems, control theory, population dynamics, systems biology.

  • Valdés, Juan Eduardo Nápoles - Universidad Nacional del Nordeste, Argentina
    Research  Topics: Local fractional calculus and its applications, q-calculus and the uniform q-type derivatives, stability theory, Lyapunov's second method.
  • Veeresha, Pundikala - Christ University, India
    Research Topics: Mathematical modeling, numerical methods, mathematical physics, stability analysis.

  • Yalçınkaya, İbrahim - Necmettin Erbakan University, Turkey.
    Research Topics: Modelling with difference equations, numerical methods, dynamical systems, stability analysis.

  • Yang, Xiao-Jun - China University of Mining and Technology, China
    Research Topics: Mathematical physics, nonlinear dynamics, integral transforms, local fractional calculus.

  • Yuan, Sanling - University of Shanghai for Science and Technology, China.
    Research Topics: Mathematical biology, bifurcation and chaos theory in biosystems, nonlinear programming, nonlinear dynamics.

Current Issue

Vol. 1 No. 2 (2021, December): MMNSA

In Progress

This issue contains final, fully citable articles that are published online immediately after completing the review process with the volume/issue and an assigned DOI number.