Arulmozhi A.K | Mathematics | Innovative Research Award

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Innovative Research Award

Arulmozhi A.K
R. M. K. College of Engineering and Technology, India

Arulmozhi A.K
Affiliation R. M. K. College of Engineering and Technology
Country India
Scopus ID 59232539800
Documents 7
Citations 58
h-index 4
Subject Area Fault Tolerant
Event Indian Scientist Awards
ORCID 0000-0003-2376-476X

Arulmozhi A.K is identified in the supplied information as an academic researcher affiliated with R. M. K. College of Engineering and Technology, India. The stated research area is fault-tolerant systems, a field concerned with maintaining reliable operation despite component failures. The supplied bibliometric indicators provide an initial overview of scholarly activity. [1] [2]

Abstract

This article presents an academic recognition profile for Arulmozhi A.K, whose stated research area is fault-tolerant systems. The supplied bibliometric information reports seven documents, 58 citations, and an h-index of four. These indicators provide a preliminary view of scholarly visibility, while individual publications and technical contributions require verification through authoritative research records. [1] [2]

Keywords

Arulmozhi A.K; fault-tolerant systems; dependable computing; system reliability; fault detection; fault recovery; engineering research; scholarly publications; citation analysis; Indian Scientist Awards.

Introduction

Fault-tolerant engineering focuses on designing systems that continue operating correctly when hardware, software, or communication components fail. It supports dependable computing, industrial automation, and other reliability-sensitive applications. Research in this field explores detection, recovery, redundancy, and resilience. Arulmozhi A.K’s stated subject area provides the context for this academic profile. [3]

 Research Profile

Arulmozhi A.K is listed in the supplied information as being affiliated with R. M. K. College of Engineering and Technology in India. The provided Scopus author identifier is 59232539800, with seven documents, 58 citations, and an h-index of four. These details should be checked against current database records before publication. [1] [2]

Research Contributions

Research in fault-tolerant systems can address reliable system architecture, failure detection, recovery mechanisms, redundancy, and dependable performance. Such work may improve availability and reduce disruption in computing and engineering applications. Specific contributions by Arulmozhi A.K should be identified from verified publications, technical results, and documented projects rather than inferred solely from the stated subject area. [3]

Publications

The supplied Scopus information lists seven documents associated with Arulmozhi A.K. A detailed publication review can establish research themes, co-authorship, publication venues, and developments across the researcher’s academic work. Before listing individual studies, titles, author order, journal details, publication years, and digital object identifiers should be verified against the relevant bibliographic records. [1]

Research Impact

The supplied metrics report 58 citations and an h-index of four. Citation counts indicate recorded references to published work, while the h-index combines publication productivity with citation distribution. These measures provide useful context but do not independently establish originality, technical quality, or practical impact. A balanced evaluation should also examine research methods, findings, and application outcomes. [1] [2]

 Award Suitability

The Innovative Research Award may provide a framework for recognizing documented scientific and engineering contributions. Assessment of Arulmozhi A.K should consider research originality, publication quality, technical relevance, reproducibility, and evidence of practical value. The supplied bibliometric indicators offer preliminary context but do not establish eligibility, nomination, or selection. Final evaluation should follow the organizer’s published criteria. [1]

Conclusion

Arulmozhi A.K’s supplied profile identifies fault-tolerant systems as the research area and reports seven documents, 58 citations, and an h-index of four. These figures offer an initial bibliometric overview. A comprehensive assessment should additionally examine verified publications, methodological rigor, originality, and documented engineering outcomes to provide a balanced account of scholarly contributions. [1] [3]

 References

  1. Elsevier. (n.d.). Scopus author details: Arulmozhi A.K, Author ID 59232539800. Scopus. The supplied author record is the intended source for checking bibliographic and citation metrics.
    https://www.scopus.com/authid/detail.uri?authorId=59232539800
  2. ORCID. (n.d.). Arulmozhi A.K researcher identifier. ORCID provides a persistent identifier for distinguishing researchers and connecting their scholarly outputs. The record should be reviewed for relevant publication information.
    https://orcid.org/0000-0003-2376-476X
  3. Indian Scientist Awards. (n.d.). Official award website. The organizer’s website is the appropriate source for current award categories, eligibility criteria, and nomination requirements. This profile does not independently confirm the researcher’s nomination or award status.
    https://indianscientist.in/

Deepak Kumar Mahanta | Mathematics | Best Researcher Award

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Mr. Deepak Kumar Mahanta | Mathematics | Best Researcher Award

Indian Institute of Technology Jodhpur, Rajasthan | India

Deepak Kumar Mahanta is a dedicated researcher in mathematics, currently pursuing a Ph.D. at the Indian Institute of Technology Jodhpur under the guidance of esteemed faculty members. His academic journey reflects a strong foundation in pure mathematics, complemented by active engagement in research on partial differential equations and related areas. He has authored multiple research papers in reputed international journals and contributed to the mathematical community through workshops, seminars, and collaborative projects. His work is characterized by rigor, depth, and originality, aiming to address complex mathematical problems with both theoretical insights and potential practical applications.

Professional Profiles

Scopus | Orcid 

Education

Deepak Kumar Mahanta holds a strong academic background in mathematics, beginning with a Bachelor of Science degree in Mathematics (Hons) from North Odisha University, followed by a Master of Science in Pure Mathematics from Dr. B R Ambedkar National Institute of Technology Jalandhar. He is presently pursuing his doctoral studies in mathematics at the Indian Institute of Technology Jodhpur under the supervision of experienced mentors. His education has been marked by consistent excellence and a focus on advanced mathematical theories, particularly in the domain of nonlinear analysis, variational methods, and partial differential equations, building a solid base for his research endeavors.

Professional Experience

Deepak Kumar Mahanta has actively contributed to academia as a Teaching Assistant at the Indian Institute of Technology Jodhpur, assisting in both undergraduate and postgraduate mathematics courses. His teaching responsibilities have included subjects such as Mathematics-I, Mathematics-II, and Complex Analysis, working alongside various faculty members. In addition to teaching, he has been involved in organizing and participating in numerous national and international workshops, seminars, and symposiums on partial differential equations and related topics. His professional engagement demonstrates a balance of research, teaching, and academic service, fostering a collaborative and intellectually stimulating learning environment.

Awards and Recognition

Deepak Kumar Mahanta has been honored with prestigious academic recognitions for his outstanding performance and dedication to mathematics. He has been awarded a fellowship from the Department of Science and Technology to support his doctoral research. He has also been recognized as a gold medalist for securing the top position in his postgraduate program in mathematics. His consistent academic achievements and success in competitive examinations highlight his strong analytical skills and deep subject understanding. These accolades reflect his commitment to academic excellence and his potential to contribute significantly to the advancement of mathematical research and education.

Research Skills

Deepak Kumar Mahanta possesses a diverse range of research skills, particularly in nonlinear analysis, variational methods, and the study of partial differential equations. His expertise includes working on Schrödinger-Kirchhoff equations, singular and exponential nonlinearities, Trudinger-Moser type inequalities, and anisotropic elliptic systems. He has experience in applying advanced mathematical techniques such as the fibering method and Nehari manifold approach to establish existence and multiplicity results. His work involves both independent problem-solving and collaborative research with international and national experts, leading to publications in respected journals. His proficiency in exploring complex mathematical models underlines his ability to address challenging research problems effectively.

Notable Publications

On (p,n)-Laplace Schrödinger equations with Stein-Weiss convolution parts in Rn
Author: Deepak Kumar Mahanta; Patrick Winkert
Journal: Applied Mathematics Letters
Year: 2026

On coupled nonlocal Schrödinger–Kirchhoff system with singular exponential nonlinearity in RN
Author: Deepak Mahanta; Tuhina Mukherjee; Thin Nguyen
Journal: Electronic Journal of Qualitative Theory of Differential Equations
Year: 2025

Existence and multiplicity of solutions for a class of quasilinear anisotropic elliptic systems via fibering method
Author: Deepak Kumar Mahanta
Journal: The Journal of Analysis
Year: 2025

Degenerate Schrödinger-Kirchhoff (p,N)-Laplacian problem with singular Trudinger-Moser nonlinearity in ℝ^N
Author: Deepak Kumar Mahanta; Tuhina Mukherjee; Abhishek Sarkar
Journal: Forum Mathematicum
Year: 2024

Conclusion

Deepak Kumar Mahanta exemplifies a blend of academic excellence, research innovation, and teaching competence. His educational foundation, research contributions, and professional activities underscore his dedication to advancing mathematical sciences. By engaging in rigorous studies, producing impactful publications, and participating in academic events, he continues to enhance his expertise and contribute to the global research community. His achievements in both theoretical and applied mathematics position him as a promising scholar with the capability to address complex mathematical challenges, inspire students, and foster academic growth. His career trajectory reflects a commitment to knowledge, collaboration, and scholarly excellence.

KANIKA | Mathematics | Best Researcher Award

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Dr. KANIKA | Mathematics | Best Researcher Award

Shoolini University of Biotechnology and Management Sciences- India

Author Profile

Early Academic Pursuits

Kanika Dhawan embarked on her academic journey with a strong foundation in Mathematics. Beginning with her Bachelor’s degree from Government Arya Degree College, Nurpur, Kanika consistently excelled, laying the groundwork for her future academic endeavors. She pursued a Master’s degree in Mathematics from Himachal Pradesh University, where her passion for mathematical research began to flourish. This led her to complete an M.Phil. in Mathematics and subsequently, a Ph.D. at the National Institute of Technology, Hamirpur, focusing on the existence and stability of solutions for fractional differential equations.

Professional Endeavors

As an Assistant Professor at Yognanada School of AI, Computer and Data Science, Shoolini University, Solan, Kanika Dhawan combines her research expertise with a commitment to teaching excellence. Her career objective underscores her dedication to contributing significantly to her field through continuous learning and impactful teaching methodologies.

Contributions and Research Focus

Kanika’s research primarily revolves around fractional differential equations and fixed point theory. Her notable contributions include publications in esteemed journals such as Qualitative Theory of Dynamics Systems and Bulletin des Sciences Mathematiques. These publications explore various aspects of fractional differential equations, demonstrating Kanika’s proficiency in theoretical analysis and mathematical modeling.

Accolades and Recognition

Kanika Dhawan’s academic prowess has been recognized through several accolades. Notably, she achieved a high rank in the Graduate Aptitude Test in Engineering (GATE) in Mathematical Sciences and has qualified the State Eligibility Test (SET) in Mathematical Sciences. Her research has been published in SCI and SCOPUS indexed journals, highlighting her impact in the mathematical community.

Impact and Influence

Through her research, Kanika has contributed significantly to advancing the understanding of fractional differential equations and their applications. Her work on stability, boundary value problems, and qualitative analysis has broad implications across various scientific and engineering disciplines, impacting both theoretical frameworks and practical implementations.

Legacy and Future Contributions

Looking ahead, Kanika Dhawan aims to continue her research trajectory, further exploring the complexities of fractional calculus and its interdisciplinary applications. Her future contributions are expected to deepen our understanding of mathematical theories and enhance their practical relevance in real-world scenarios.Kanika Dhawan’s journey exemplifies a dedication to academic excellence and a profound commitment to advancing mathematical research and education. Her interdisciplinary approach and rigorous methodologies promise continued innovation and impact in the field of mathematics.

Citations

A total of 44 citations for his publications, demonstrating the impact and recognition of his research within the academic community.

  • Citations         44
  • h-index           8
  • i10-index        5

Notable Publications 

Qualitative analysis of coupled fractional differential equations involving Hilfer derivative

K Dhawan, RK Vats, RP Agarwal
Analele ştiinţifice ale Universităţii” Ovidius” Constanţa. Seria Matematică …
Approximate controllability of delay nonautonomous integro‐differential system with impulses

A Kumar, RK Vats, K Dhawan, A Kumar
Mathematical Methods in the Applied Sciences
Analysis of neutral fractional differential equation via the method of upper and lower solution

K Dhawan, RK Vats, V Vijayakumar
Qualitative theory of dynamical systems
Well-posedness and Ulam-Hyers stability of Hilfer fractional differential equations of order (1, 2] with nonlocal boundary conditions

K Dhawan, RK Vats, AK Nain, A Shukla
Bulletin des Sciences Mathématiques
Well-posedness of a nonlinear Hilfer fractional derivative model for the Antarctic circumpolar current

HM Srivastava, K Dhawan, RK Vats, AK Nain
Zeitschrift für angewandte Mathematik und Physik
Analyzing Single and Multi-valued Nonlinear Caputo Two-Term Fractional Differential Equation With Integral Boundary Conditions

RK Vats, K Dhawan, V Vijayakumar
Qualitative Theory of Dynamical Systems