Ajay Kumar | Numerical Analysis | Indian Institute of Technology Kanpur

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Dr. Ajay Kumar | Numerical Analysis | Indian Institute of Technology Kanpur

Post Doctoral | Indian Institute of Technology Kanpur | India

Dr. Ajay Kumar is a Postdoctoral Fellow in the Department of Mathematics and Statistics at the Indian Institute of Technology Kanpur, specializing in fractional calculus, nonlinear dynamics, numerical analysis, and mathematical modeling of disease and ecological systems. He earned his Ph.D. in Mathematics with a focus on fractional calculus from the National Institute of Technology Jamshedpur, following an M.Sc.-Tech in Mathematics and Computing from Jamia Millia Islamia and a B.Sc. in Physics, Chemistry, and Mathematics from CCS University, Meerut. Before joining IIT Kanpur, he served as an Assistant Professor at JECRC University, Jaipur, where he contributed to academic instruction and research mentorship. Dr. Kumar has an impressive publication record in high-impact journals such as Chaos, Solitons & Fractals, Results in Physics, Mathematics and Computers in Simulation, and Journal of Computational Science, reflecting his strong engagement in the study of fractional-order dynamical systems, eco-epidemiological modeling, and chaos theory. His research collaborations span internationally with scholars from Saudi Arabia, Egypt, and India, demonstrating a broad and interdisciplinary research network. He has also presented his work at multiple national and international conferences and participated in workshops and training programs that enhance computational and analytical expertise. Dr. Kumar’s academic excellence is supported by national-level qualifications such as GATE and IIT-JAM, alongside prestigious research fellowships including the Junior and Senior Research Fellowships from NIT Jamshedpur. With over 500 citations and an H-index of 10, his contributions significantly advance the application of fractional calculus in complex system modeling.

Profiles: ORCID | Google Scholar

Featured Publications

1. Kumar S., Kumar A., Samet B., Gómez-Aguilar J.F., Osman M.S., A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment. Chaos, Solitons & Fractals, 2020, Citations: 222.

2. Kumar S., Kumar A., Samet B., Dutta H., A study on fractional host–parasitoid population dynamical model to describe insect species. Numerical Methods for Partial Differential Equations, 2021, Citations: 187.

3. Kumar A., Kumar S., A study on eco-epidemiological model with fractional operators. Chaos, Solitons & Fractals, 2022, Citations: 43.

4. Kumar S., Kumar A., Jleli M., A numerical analysis for fractional model of the spread of pests in tea plants. Numerical Methods for Partial Differential Equations, 2022, Citations: 27.

5. Alzaid S.S., Kumar A., Kumar S., Alkahtani B.S.T., Chaotic behavior of financial dynamical system with generalized fractional operator. Fractals, 2023, Citations: 18.

Mohamed Etarhouni | Mathematical Modeling | Best Researcher Award

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Dr. Mohamed Etarhouni | Mathematical Modeling | Best Researcher Award

Electrical Engineering Lecturer at Liverpool John Moores University, United Kingdom

Dr. Mohamed Etarhouni is an accomplished lecturer and researcher in Electrical and Electronic Engineering 🌍. With a PhD specializing in renewable energy systems, his innovative work on optimizing solar PV systems 🏞️ has been published in top journals like IEEE and Elsevier. Boasting over 8 years of teaching experience 📚, he excels in integrating modern tools such as MATLAB-Simulink, Proteus, and Mobius to create engaging, hybrid learning environments. His passion for student development is evident through his commitment to inclusive education and ongoing professional growth, including a PGCert in Teaching in Higher Education 🎓. Dr. Etarhouni’s contributions extend beyond teaching, as he actively participates in academic conferences, peer reviewing, and fostering interdisciplinary research. Recognized for his exceptional teaching and scholarly achievements 🏆, he is a forward-thinking academic whose work bridges the gap between theory and practical solutions in the rapidly evolving field of renewable energy.

Professional Profile

Scopus Profile
ORCID Profile

Education 🎓

Dr. Mohamed Etarhouni’s educational journey showcases a blend of academic excellence and practical application. He earned his PhD in Electrical and Electronic Engineering from the University of Leeds, where he focused on developing advanced techniques for maximizing power extraction from solar photovoltaic (PV) systems, particularly under partial shading conditions 🌞. In addition, he holds an MSc in Electrical Engineering & Renewable Energy Systems with distinction from the University of Leeds, where he demonstrated outstanding performance in his field. Currently, he is further advancing his teaching expertise by pursuing a PGCert in Teaching in Higher Education at Keele University, continuing his passion for educational innovation 📚. His strong educational foundation enables him to deliver effective and forward-thinking teaching strategies while also contributing to research and technology development in renewable energy.

Professional Experience 💼

Dr. Etarhouni brings over 8 years of experience in academia, having taught at respected institutions such as Liverpool John Moores University, Teesside University, and the Open University. He has designed and delivered courses in a variety of areas, including electronics, power electronics, embedded systems, and electrical circuits ⚡. Dr. Etarhouni integrates cutting-edge technologies like Canvas, MATLAB-Simulink, and Mobius to enhance the learning experience for students, ensuring they acquire the practical skills needed in the rapidly evolving field of electrical engineering. His expertise is not limited to teaching; he has supervised both undergraduate and postgraduate students, guiding them through research projects that bridge theory and real-world applications. Dr. Etarhouni’s collaborative research with the University of Leeds in power electronics and renewable energy continues to fuel his passion for both education and sustainable technology 🌍.

Research Interest 🔬

Dr. Etarhouni’s primary research interest lies in optimizing renewable energy systems, specifically solar power technologies. His work on improving the performance of solar PV systems through advanced optimization techniques—particularly in partial shading scenarios—has set him apart in his field. He has pioneered innovations such as Series-Parallel Differential Power Processing (SP-DPP) converters and fuzzy logic-based control systems, all designed to maximize energy extraction from solar arrays 🌞. His research also delves into the integration of renewable energy systems with power electronics, aiming to improve overall system efficiency and reliability. His work in this area has been published in prominent journals, and he continues to explore new configurations to enhance the practicality and scalability of renewable energy solutions, contributing significantly to the global push toward sustainable energy sources 🌱.

Awards and Honors 🏅

Dr. Etarhouni’s dedication to both research and teaching has earned him numerous accolades. He was awarded the Best Paper Award at the IEEE Renewable Energy Congress for his groundbreaking work on solar PV technologies, and his teaching excellence has been recognized with multiple Teaching Recognition Certificates from Liverpool John Moores University 🏆. His contributions to higher education and research were further acknowledged when he received an Exemplar Recognition from Keele University for his innovative approaches to teaching. As a Fellow of the Higher Education Academy (FHEA), Dr. Etarhouni demonstrates a strong commitment to maintaining high teaching standards. His active role as a session chair and peer reviewer at international conferences highlights his prominent position within the academic community, and his continuous professional development reflects his dedication to furthering his expertise in both pedagogy and engineering 🌟.

Conclusion 🌟

Dr. Mohamed Etarhouni stands out as an academic and researcher whose work consistently bridges the gap between cutting-edge renewable energy solutions and effective teaching methodologies. His contributions to optimizing solar energy systems are setting new standards in the field of renewable energy, while his dedication to education is fostering the growth of future engineers. As a published researcher and award-winning educator, Dr. Etarhouni’s innovative approach to both teaching and research continues to influence the academic and engineering communities. With his ongoing commitment to professional development and research, Dr. Etarhouni is poised to remain a key figure in advancing sustainable energy solutions and educational excellence 🌍⚡.

Publications Top Notes

🌞 Design of Novel Differential Power Processing Scheme for Small-Scale PV Array Application Operating Under Partial Shading Conditions

Authors: Mohamed Etarhouni, Hiroshan Puvanendra Moorthy, Benjamin Chong
Year: 2024
Source: Computers and Electrical Engineering
DOI: 10.1016/j.compeleceng.2024.109254
This paper discusses a novel power processing scheme 🛠️ designed for small-scale photovoltaic (PV) arrays under partial shading conditions 🌥️, which are common in solar energy systems. The scheme aims to maximize the output power and enhance system efficiency by addressing shading effects.

⚡ Control of Cascaded PV-Ćuk Converter Modules by Particle Swarm Optimization Under Partial Shading Conditions

Authors: Mohamed Etarhouni, Benjamin Chong
Year: 2023
Source: World Congress on Electrical Engineering and Computer Systems and Science
DOI: 10.11159/eee23.107
This study explores the optimization 🔧 of Cascaded PV-Ćuk converters using particle swarm optimization 🐝, particularly under partial shading 🌑 conditions. It introduces an innovative control strategy to improve the performance of photovoltaic systems during shaded conditions.

🌞 A Combined Scheme for Maximising the Output Power of a Photovoltaic Array Under Partial Shading Conditions

Authors: Mohamed Etarhouni
Year: 2022
Source: Sustainable Energy Technologies and Assessments
DOI: 10.1016/j.seta.2021.101878
The article presents a combined scheme 🛠️ designed to maximize output power from a photovoltaic array under partial shading 🌤️ conditions. This method enhances the power extraction capabilities of PV systems, addressing common challenges in solar energy applications.

🌅 A Novel Square Algorithm for Maximising the Output Power from a Partially Shaded Photovoltaic Array System

Authors: Mohamed Etarhouni
Year: 2022
Source: Optik
DOI: 10.1016/j.ijleo.2022.168870
This paper introduces a novel square algorithm 💡 for optimizing power output from partially shaded photovoltaic systems. It aims to mitigate the effects of shading 🌒 on solar energy production, improving overall system efficiency 🌞.

🔋 Series-Parallel Differential Power Processing Scheme for Maximised Power Extraction from Mismatched Photovoltaic Panels

Authors: Mohamed Etarhouni
Year: 2020
Source: 10th International Conference on Power Electronics, Machines and Drives (PEMD)
This conference paper presents a series-parallel differential power processing scheme 🔋 to maximize power extraction from mismatched PV panels under varying conditions. The innovative scheme improves solar energy generation efficiency despite mismatch between panels.

🌞 Optimal Design of Series-Parallel Differential Power Processing Converters for Photovoltaic Array Energy Systems

Authors: Mohamed Etarhouni
Year: 2020
Source: 37th European Photovoltaic Solar Energy Conference and Exhibition
This work focuses on the optimal design 🛠️ of series-parallel differential power processing converters aimed at improving energy efficiency in solar power systems. The design optimizes power management in photovoltaic arrays, reducing energy loss due to shading or mismatch.

⚡ Review of PV Array Interconnection Schemes for Maximum Power Operation Under Partial Shading

Authors: Mohamed Etarhouni
Year: 2019
Source: 36th European Photovoltaic Solar Energy Conference and Exhibition
DOI: 10.4229/EUPVSEC20192019-5BO.5.6
This paper offers a comprehensive review 📚 of various PV array interconnection schemes designed to ensure maximum power output under partial shading conditions. It evaluates techniques for overcoming common solar energy challenges related to shading and array configuration.

🌅 A PV Array Reconfiguration Algorithm for Minimising Partial Shading Effects

Authors: Mohamed Etarhouni
Year: 2019
Source: 2019 10th International Renewable Energy Congress (IREC)
DOI: 10.1109/irec.2019.8754602
The paper introduces a reconfiguration algorithm 🔄 for photovoltaic arrays, aimed at minimizing the effects of partial shading 🌦️. The algorithm focuses on optimal array configuration, boosting power extraction by reducing the impact of shading on solar panels.

Katlego Sebogodi | Mathematical Modeling | Best Researcher Award

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Dr. Katlego Sebogodi | Mathematical Modeling | Best Researcher Award

Lecturer at University of South Africa, South Africa

Dr. Katlego Sebogodi is a distinguished mathematician and educator with a PhD in Mathematics from the University of Witwatersrand. His research focuses on asymmetric topology, modular quasi-metric spaces, fluid mechanics, and AI-driven mathematical modeling. He has published in reputable journals and supervises postgraduate students in advanced mathematical research. With extensive teaching experience at institutions like the University of South Africa and the University of Johannesburg, he has contributed significantly to mathematics education. A recipient of the 2021 UJ Community Engagement Prize and the 2024 Department of Mathematics Educhanger of the Month award, Dr. Sebogodi actively fosters STEM education through his NPO, MATHSCIEMATICS, and authorship of STAR MATHS and STAR PHYSICS study guides. His leadership roles in academic committees, peer review contributions, and participation in national and international awards highlight his commitment to advancing mathematical sciences. His research, mentorship, and outreach efforts make him a strong candidate for the Best Researcher Award.

Professional Profile

 Scopus Profile

Education

Dr. Katlego Sebogodi pursued his academic journey in mathematics with a strong foundation at North-West University, where he earned a BSc in Mathematical Sciences (2012-2013), followed by a BSc Honours in Mathematics and Applied Mathematics (2014). He further specialized with an MSc in Mathematics (2015-2016), focusing on advanced mathematical structures. Driven by a passion for mathematical research, he completed his PhD at the University of Witwatersrand (2018-2019) under the supervision of Prof. Olivier Olela Otafudu. His doctoral research explored topological aspects of modular quasi-metric spaces, contributing to the broader understanding of asymmetric topology and metric structures. His academic progression showcases a commitment to deepening his expertise in mathematical sciences, laying a strong foundation for his subsequent teaching, research, and professional contributions. His educational background is complemented by active participation in mathematical awards and workshops, ensuring continuous engagement with emerging trends in the field.

Professional Experience

Dr. Sebogodi has extensive teaching and academic experience across various institutions. Currently, he is a faculty member at the University of South Africa (2025–present), where he lectures on Pre-Calculus. Previously, he served at the University of Johannesburg (2018–2024), delivering courses such as Multivariable Calculus, Topology, and Linear Algebra. His earlier teaching roles include Sol Plaatje University (2018), North-West University (2015, 2017), and multiple secondary schools, where he facilitated mathematics courses for different levels. Beyond teaching, he has played leadership roles in academic committees, including serving as Head of Community Engagement and Tutor Management at the University of Johannesburg. Additionally, he actively supervises postgraduate research, guiding students in fields such as modular metric spaces, AI applications in fluid mechanics, and mathematical modeling for sustainability. His professional trajectory demonstrates a commitment to advancing mathematical education, mentoring young researchers, and contributing to institutional academic excellence.

Research Interests

Dr. Sebogodi’s research spans multiple domains within mathematics and applied sciences. His primary focus is asymmetric topology, particularly modular quasi-pseudometric spaces, contributing to advancements in non-standard metric structures. Additionally, he explores the intersection of mathematics and technology, with interests in data science, machine learning, and artificial intelligence. His work on fluid mechanics involves utilizing physics-informed neural networks (PINNs) to solve complex mathematical models, including rogue wave phenomena. In biomathematics, he investigates mathematical models for sustainability, crime cycles, and resource management. His interdisciplinary approach enables him to bridge theoretical mathematics with practical applications, fostering collaborations across scientific domains. His research outputs include publications in peer-reviewed journals, award presentations, and ongoing supervision of student projects in AI-driven mathematical modeling. Through his research, Dr. Sebogodi aims to contribute innovative mathematical solutions to real-world problems while expanding the frontiers of modern mathematical sciences.

Awards and Honors

Dr. Sebogodi has been recognized for his outstanding contributions to mathematics and education. In 2021, he received the University of Johannesburg Community Engagement Prize for his dedication to outreach and mentorship in mathematics. His commitment to excellence in teaching earned him the 2024 Department of Mathematics Educhanger of the Month award, acknowledging his role as a transformative educator. Beyond institutional recognition, he has been actively involved in community-driven initiatives, such as authoring the STAR MATHS and STAR PHYSICS study guides for high school students. He is also the founder and CEO of MATHSCIEMATICS, an NPO dedicated to supporting mathematics and science education. His contributions to academic service include refereeing for mathematical journals, organizing awards, and serving on curriculum development committees. These accolades reflect his passion for education, research, and community impact, positioning him as an influential figure in mathematical sciences.

Conclusion

Dr. Katlego Sebogodi exemplifies a distinguished scholar and educator committed to advancing mathematics through research, teaching, and community engagement. His academic journey, from earning a PhD in mathematics to mentoring postgraduate students, highlights his dedication to knowledge creation and dissemination. His expertise in asymmetric topology, data science, and mathematical modeling reflects his ability to bridge theoretical mathematics with real-world applications. Beyond academia, his community outreach initiatives and leadership roles showcase his commitment to empowering students and researchers. Recognized for his excellence in teaching and research, he has received multiple awards for his contributions to education and mathematical sciences. As an active researcher, mentor, and educator, Dr. Sebogodi continues to shape the mathematical landscape, making him a deserving candidate for prestigious research and academic awards. His work serves as an inspiration for the next generation of mathematicians, reinforcing the critical role of mathematical sciences in technological and societal advancements.

Publications Top Noted

Title: A Simple Model of the Draupner Wave Experiment
Authors: G.C. Hocking, E. Nel, A. Markham, S. Ahmedai, N. Freeman
Year: 2025
Citations: 0 (as of now)
Source: Partial Differential Equations in Applied Mathematics