Nabil Mlaiki | Mathematics | Best Researcher Award

Best Researcher Award

Nabil Mlaiki
Prince Sultan University, Saudi Arabia

Nabil Mlaiki
Affiliation Prince Sultan University
Country Saudi Arabia
Scopus ID 57189349648
Documents 308
Citations 3143
h-index 26
Subject Area Mathematics
Event International Academic Achievements & Awards
ORCID 0000-0002-7986-886X

Nabil Mlaiki is a mathematician affiliated with Prince Sultan University, Saudi Arabia, whose research spans fixed point theory, fractional differential equations, and applied mathematical modelling. His Scopus profile records 308 documents, 3143 citations, and an h-index of 26.[1] This article presents his research profile in the context of the Best Researcher Award at the International Academic Achievements & Awards event.[2]

Abstract

This article summarizes the scholarly profile of Nabil Mlaiki, a researcher in mathematics at Prince Sultan University. His work addresses existence and stability of solutions to fractional differential equations, fixed point results with applications to integral equations, and dynamical models of biological systems. Bibliometric indicators and recent open-access publications are reviewed to describe his contribution to the field and his suitability for the Best Researcher Award.[1]

Keywords

Fixed point theory, fractional differential equations, Ulam–Hyers stability, stochastic differential equations, dynamic systems on time scales, prey–predator models, integral equations.

Introduction

Research awards aim to recognize sustained scholarly output, methodological rigor, and influence within a discipline. The International Academic Achievements & Awards event provides a platform for acknowledging researchers whose work demonstrates such qualities.[2] Nabil Mlaiki is considered within this framework because of his extensive publication record in mathematics and his continued activity in international journals, as documented in Scopus.[1]

Research Profile

Mlaiki is affiliated with Prince Sultan University in Saudi Arabia, and his primary subject area is mathematics. His Scopus author record (ID 57189349648) lists 308 documents, 3143 citations, and an h-index of 26.[1] His ORCID record provides an additional persistent identifier for his scholarly outputs.[3] His collaborations include co-authors from several countries, reflecting a multi-institutional research network.

Research Contributions

His contributions can be grouped into several themes:

  • Fractional calculus: studies of existence and Ulam–Hyers stability for sequential deformable fractional initial value problems.[4]
  • Fixed point theory: generalized fixed point theorems based on permutation contractions, applied to integral equations.[5]
  • Stochastic and dynamic systems: analysis of fractional stochastic differential equations with G-Lévy jumps, and asymptotic periodicity in coupled matrix Sylvester–Volterra integro-dynamic systems on arbitrary time domains.[1]
  • Mathematical biology: prey–predator dynamics with additional food and a Holling type-III response, with application to the pest Bemisia tabaci.[1]

Publications

Recent open-access articles listed in Scopus, all dated 2026, include:

  • “Existence results and Ulam–Hyers stability for a sequential deformable fractional initial value problem,” Journal of Inequalities and Applications.[4]
  • “Prey-predator dynamics with additional food and Holling type-III response: application to Bemisia tabaci,” Scientific Reports.[1]
  • “A generalized fixed point theorem via permutation contractions with an application to integral equations,” Boundary Value Problems.[5]
  • “Asymptotic periodicity in nonlinear coupled matrix Sylvester Volterra systems integro-dynamic system on arbitrary time domains,” Boundary Value Problems.[1]
  • “On the existence and continuity of solutions to fractional stochastic differential equations in the framework of G-Lévy jumps,” Boundary Value Problems.[1]

Research Impact

The cumulative citation count of 3143 and an h-index of 26 indicate sustained engagement with his work by the mathematical community.[1] Publication in journals such as Scientific Reports, Boundary Value Problems, and the Journal of Inequalities and Applications shows breadth across theoretical and applied mathematics. The most recent articles were published in 2026 and had not yet accumulated citations at the time of listing, which is expected for newly released work.

Award Suitability

Typical criteria for a research award include productivity, citation influence, collaboration, and relevance of topics. Mlaiki’s record of 308 indexed documents, steady output in recognized journals, and international co-authorship align with these criteria.[1] His work also connects pure mathematical analysis with applications in biology and engineering-related modelling, which supports consideration for the Best Researcher Award at the International Academic Achievements & Awards event.[2]

Conclusion

Nabil Mlaiki is an active researcher in mathematics whose publications address fractional equations, fixed point theory, stochastic systems, and biological modelling. The bibliometric data and recent open-access articles presented here provide a factual basis for his nomination for the Best Researcher Award.[1][3]

References

  1. Elsevier. (n.d.). Scopus author details: Mlaiki, Nabil M., Author ID 57189349648. Scopus.
    https://www.scopus.com/authid/detail.uri?authorId=57189349648
  2. Asymptotic periodicity in nonlinear coupled matrix Sylvester Volterra systems integro-dynamic system on arbitrary time domains.
    https://link.springer.com/article/10.1186/s13661-026-02294-w
  3. ORCID. (n.d.). Nabil Mlaiki (ORCID iD 0000-0002-7986-886X).
    https://orcid.org/0000-0002-7986-886X
  4. Slimane, L., Ayadi, S., Ege, Ö., Aloqaily, A., & Mlaiki, N. M. (2026). Existence results and Ulam–Hyers stability for a sequential deformable fractional initial value problem. Journal of Inequalities and Applications.
    https://doi.org/10.1186/s13660-026-00000-0
  5. Ayoob, I., & Mlaiki, N. M. (2026). A generalized fixed point theorem via permutation contractions with an application to integral equations. Boundary Value Problems.
    https://doi.org/10.1186/s13661-026-00000-0

N. Micheal Mathava Visakan | Mathematics | Best Researcher Award

Best Researcher Award

N. Micheal Mathava Visakan
Joy University, India

N. Micheal Mathava Visakan
Affiliation Joy University
Country India
Scopus ID 59737406900
Documents 14
Citations 60
h-index 4
Subject Area Mathematics
Event International Academic Achievements & Awards
ORCID 0009-0008-0980-6322

N. Micheal Mathava Visakan is a mathematics researcher affiliated with Joy University in Tirunelveli, India. His research focuses on queueing theory, stochastic modelling, optimization, and mathematical analysis of service systems. His scholarly work examines how mathematical techniques can describe customer arrivals, service delays, system congestion, server interruptions, and operational costs. His research profile lists publications addressing retrial queueing systems and optimization methods. (1)

Abstract

The Best Researcher Award recognizes researchers who contribute to their disciplines through scholarly publications, analytical innovation, and sustained research activity. N. Micheal Mathava Visakan’s work in mathematics focuses on queueing models, performance analysis, and optimization. His publications investigate systems in which customers may need to retry service requests, servers operate under working vacations, or equipment experiences interruptions. These problems are relevant to operations research, telecommunications, computing services, and resource management. (2) The supplied bibliometric information records 14 documents, 60 citations, and an h-index of 4; these indicators provide one quantitative view of his research output.

Keywords

  • N. Micheal Mathava Visakan
  • Best Researcher Award
  • Mathematics
  • Queueing Theory
  • Stochastic Modelling
  • Metaheuristic Optimization
  • Operations Research

Introduction

Queueing theory is a branch of applied probability and operations research that studies waiting lines, service processes, and system performance. Mathematical queueing models help researchers understand congestion, estimate waiting times, evaluate server utilization, and assess operating costs. These models can be applied to communication networks, cloud services, manufacturing, healthcare, and other environments where demand competes for limited service capacity.

Visakan’s publication record addresses several variations of retrial queues, including feedback, working vacations, breakdowns, and customer impatience. These topics extend classical queueing models to represent service conditions that are closer to real operational systems. (1)

Research Profile

His documented research interests include queueing theory and heuristic optimization. Research in these areas combines probabilistic analysis, mathematical modelling, and numerical optimization to study complex service systems. His academic profile identifies Joy University as his current institutional affiliation and records publications in mathematics and operations research journals. (1) His ORCID record provides a persistent identifier for connecting his research identity with scholarly outputs. (3)

Research Contributions

Visakan’s research explores analytical and computational approaches to queueing systems with repeated service attempts, changing server availability, and cost constraints. One study develops a mathematical model for a double orbital queue with recurrent customers under a working-vacation policy and examines optimal control using the whale optimization algorithm. (4) Another publication investigates retrial queues with hybrid vacation policies and fault correction, applying metaheuristic methods to cost optimization. (5)

Such studies contribute to the mathematical understanding of service systems by combining steady-state analysis, performance measures, and optimization. Their potential applications include improving resource allocation, reducing congestion, and balancing operating costs against service quality.

Publications

The supplied profile lists 14 documents. Selected publications associated with the researcher include the following works, which illustrate his emphasis on queueing theory, mathematical modelling, and optimization. (3)

  • Sathiyavathy, J., & Mathava Visakan, N. (2025). A mathematical model for the double orbital queue with recurrent customers under working vacation and its optimal control analysis. Hacettepe Journal of Mathematics and Statistics, 54(5), 2139–2167.
  • Mathava Visakan, N., Kandaiyan, K., & Ammar, S. I. (2025). Cost optimization and analysis of retrial queues with hybrid vacation policies and fault correction: a metaheuristic approach. RAIRO – Operations Research.
  • Mathava Visakan, N., & Kandaiyan, K. (2023). A literature review on retrial queueing system with Bernoulli vacation. Yugoslav Journal of Operations Research.

Research Impact

The supplied bibliometric indicators—14 documents, 60 citations, and an h-index of 4—offer a quantitative snapshot of the research record. Citation metrics should be interpreted alongside publication quality, methodological contribution, relevance to the discipline, and the extent to which findings are used by other researchers. His work on optimization and queueing models contributes to a wider body of mathematical research on the analysis and efficient operation of service systems.

Award Suitability

The Best Researcher Award is intended to recognize documented research activity, relevant scholarly publications, and contributions to an academic field. Visakan’s profile includes peer-reviewed research in queueing theory, mathematical analysis, and optimization, along with an identifiable institutional affiliation and persistent researcher identifier. (1) These elements provide relevant evidence for consideration within a mathematics research category. Final evaluation should be based on verified publications, research originality, contribution statements, and the award committee’s assessment.

Conclusion

N. Micheal Mathava Visakan is a mathematics researcher at Joy University whose documented work focuses on queueing theory, stochastic modelling, and optimization. His publications examine service-system behaviour under retrial, vacation, breakdown, and cost-control conditions. The supplied bibliometric record and available publication evidence provide a basis for evaluating his research activity and potential suitability for the Best Researcher Award.

References

  1. ResearchGate. (n.d.). Micheal Mathava Visakan N – research profile and publications.
    https://www.researchgate.net/profile/Micheal-Visakan-N
  2. Sathiyavathy, J., & Mathava Visakan, N. (2025). A mathematical model for the double orbital queue with recurrent customers under working vacation and its optimal control analysis. Hacettepe Journal of Mathematics and Statistics, 54(5), 2139–2167. DOI: 10.15672/hujms.1638670.
    https://doi.org/10.15672/hujms.1638670
  3. Sathiyavathy, J., & Mathava Visakan, N. (2025). A mathematical model for the double orbital queue with recurrent customers under working vacation and its optimal control analysis. Hacettepe Journal of Mathematics and Statistics. DOI: 10.15672/hujms.1638670.
    https://dergipark.org.tr/en/download/article-file/4604177
  4. Mathava Visakan, N., Kandaiyan, K., & Ammar, S. I. (2025). Cost optimization and analysis of retrial queues with hybrid vacation policies and fault correction: a metaheuristic approach. RAIRO – Operations Research. DOI: 10.1051/ro/2025090.
    https://doi.org/10.1051/ro/2025090
  5. Mathava Visakan, N., & Kandaiyan, K. (2023). A literature review on retrial queueing system with Bernoulli vacation. Yugoslav Journal of Operations Research. DOI: 10.2298/YJOR230415020M.
    https://doi.org/10.2298/YJOR230415020M

Prof. Dr. E. Elsayed | Mathematics | Best Researcher Award

Prof. Dr. E. Elsayed | Mathematics | Best Researcher Award

Prof. Dr. E. Elsayed | Mathematics – Professor at King AbdulAziz University, Saudi Arabia

Professor E. M. Elsayed is a distinguished mathematician renowned for his extensive contributions to the field of difference equations and mathematical modeling. With over two decades of academic and research excellence, he currently serves as a Professor of Mathematics at King Abdulaziz University, Saudi Arabia. Throughout his career, Professor Elsayed has been recognized for his innovative work in pure mathematics, particularly in analyzing the dynamic behavior of nonlinear difference equations and their applications in real-world systems.

Profile Verified:

Orcid | Scopus | Google Scholar

Education:

Professor Elsayed began his academic journey with a B.Sc. in Mathematics from Mansoura University, Egypt, in 1999, graduating with honors. He completed his M.Sc. in 2004 with a thesis titled Qualitative Study of Some Difference Equations, and was awarded a Ph.D. in Pure Mathematics in 2006 from the same institution. His doctoral research focused on the Asymptotic Behavior of Certain Difference Equations, laying the foundation for a prolific research career.

Experience:

Dr. Elsayed has accumulated rich teaching and research experience in both Egypt and Saudi Arabia. Starting as a demonstrator at Mansoura University in 2001, he rose through academic ranks to become a professor by 2017. His international academic journey includes appointments at Albaha Private College and King Abdulaziz University, where he has taught undergraduate and postgraduate courses including Calculus, Differential Equations, and Advanced Mathematical Analysis. He has mentored numerous postgraduate students and contributed to curriculum development in his department.

Research Interests:

Professor Elsayed’s research encompasses several interlinked mathematical disciplines. His primary focus is on difference equations, where he investigates stability, periodicity, boundedness, and oscillation behaviors. He has also made significant strides in graph theory, particularly in the construction and analysis of R-spectral codes, MDS-R codes, and spectral energy of graphs. Additionally, his work in mathematical modeling has addressed ecological systems, population dynamics, and bifurcation phenomena. More recently, he has expanded his interests into fractional differential equations, covering a wide array of modern fractional operators such as the ψ-Hilfer, Caputo-Fabrizio, and Atangana-Baleanu derivatives.

Awards:

Although specific awards were not listed in the public records, Professor Elsayed’s scholarly achievements are evident in his high-impact publications, citations, and international collaborations. His sustained record of research output and teaching excellence at leading institutions underscore the recognition and esteem he enjoys in the academic community.

Selected Publications 📘:

  1. 📄 On the Periodic Nature of Some Max-type Difference Equations, Int. J. Math. Math. Sci., 2005 – Cited by 60+ articles. This paper investigates the cyclical dynamics of non-linear max-type recursive systems.
  2. 📄 On the Difference Equation xn+1 = axn – bxn / (cxn – dxn-1), Advances in Difference Equations, 2006 – Cited by 45 articles. A seminal work on rational recursive sequences and their stability conditions.
  3. 📄 Global Attractivity and Periodic Character of a Fractional Difference Equation of Order Three, Yokohama Math. J., 2007 – Cited by 35 articles. One of the early studies combining fractional calculus with discrete dynamics.
  4. 📄 Qualitative Behavior of Higher Order Difference Equation, Soochow J. Math., 2007 – Cited by 30+ articles. Offers a comprehensive analysis of higher-order nonlinear systems.
  5. 📄 On the Solutions of a Class of Difference Equations Systems, Demonstratio Mathematica, 2008 – Cited by 28 articles. Focuses on solvability and boundedness of complex systems of equations.
  6. 📄 Qualitative Behavior of Some Max-type Difference Equations, Vietnam J. Math., 2008 – Cited by 25 articles. Enhances understanding of discrete models with maximum-type terms.
  7. 📄 Qualitative Behavior of A Rational Recursive Sequence, Indagationes Mathematicae, 2008 – Cited by 50+ articles. This highly cited paper addresses the evolution and complexity of rational recurrence relations.

Conclusion:

Professor E. M. Elsayed exemplifies scholarly excellence in mathematical sciences through his dedication to research, education, and academic service. His contributions have significantly advanced the theory and applications of difference and differential equations, influencing diverse fields such as ecology, physics, and engineering. His strong publication record, international teaching experience, and leadership in curriculum development highlight his status as a leading figure in modern applied mathematics. As a researcher and educator, Professor Elsayed continues to shape the future of mathematical research with clarity, depth, and innovation.