Dr. Dhanalakshmi Kasinathan | Fractional Stochastic | Best Researcher Award
University Postdoctoral Fellow of Periyar University, Salem, India.
Dr. Dhanalakshmi Kasinathan is a dedicated researcher in the field of mathematics, currently serving as a PDF by Research at Periyar University, Salem. She earned her B.Sc. degree in Mathematics from Sri Vidhya Mandir Arts and Science College, Uthangarai, affiliated with Periyar University in 2013. Following this, she completed her B.Ed. from Lady Wellington IASE, Chennai, in 2014, and obtained her M.Sc. and M.Phil. degrees in Mathematics from Sacred Hearts College, Tirupathur, affiliated with Thiruvalur University, in 2015 and 2016, respectively. She recently completed her Ph.D. in 2023 at the Department of Mathematics, The Gandhigram Rural Institute Deemed to be University, Gandhigram, India. Dr. Kasinathan’s research interests are deeply rooted in the stability and controllability of fractional stochastic differential equations. With two years of research experience, she has developed a strong foundation in her area of specialization. She has also worked as a distance post-doctoral fellow at the Virginia Military Institute, Lexington, USA. Currently, she is actively engaged in her role as a University post-doctoral fellow at Periyar University, Salem. Her academic journey is marked by her commitment to advancing mathematical knowledge and contributing to the field through her innovative research and collaborative efforts.
Professional Profiles:
Education
Dr. Dhanalakshmi Kasinathan holds a Ph.D. in Mathematics from The Gandhigram Rural Institute Deemed to be University, where she conducted research in the field of Higher-Order Fractional Stochastic Differential Equations. Prior to her doctoral studies, she completed her M.Phil. and M.Sc. degrees in Mathematics from Sacred Hearts College, Tirupathure, and obtained her B.Ed. from Lady Wellington IASE, Chennai. Her academic journey began with a B.Sc. in Mathematics from Sri Vidhya Mandir Arts and Science College, Uthangarai. With a comprehensive educational background spanning various mathematical disciplines, Dr. Kasinathan brings a wealth of knowledge and expertise to her research endeavors.
Professional Experience
Dr. Dhanalakshmi Kasinathan has two years of research experience in the field of mathematics. She served as a Distance Post-Doctoral Fellow at the Virginia Military Institute in Lexington, Virginia, USA, and is currently a Post-Doctoral Fellow at Periyar University, Salem, India. Additionally, she worked as a guest faculty in the Department of Industrial Chemistry at Mangalore University, Mangalagangotri, Karnataka, India. Throughout her career, Dr. Kasinathan has contributed significantly to mathematical research, demonstrating her dedication and expertise in the field
Research Interest
Dr. Dhanalakshmi Kasinathan’s research interests encompass a diverse range of mathematical domains, notably fractional differential equations, fractional stochastic differential equations, and control theory. Through her work, she aims to delve into the intricacies of these subjects, exploring new methodologies, and developing innovative solutions to address pressing challenges in mathematics. Her dedication to these areas reflects her commitment to advancing mathematical knowledge and contributing to the broader scientific community.
Award and Honors
Dr. Dhanalakshmi Kasinathan has been recognized for her contributions to the field of mathematics with several prestigious awards and honors. These accolades highlight her exceptional research achievements and underscore her standing as a distinguished scholar in her field.
Research Skills
Dr. Dhanalakshmi Kasinathan possesses a diverse set of research skills that enable her to conduct innovative and impactful studies in mathematics. Her expertise includes proficiency in mathematical modeling, data analysis, and theoretical frameworks. She is adept at employing various research methodologies and techniques to investigate complex problems in her area of specialization. Additionally, Dr. Kasinathan demonstrates strong analytical abilities and critical thinking skills, allowing her to generate novel insights and solutions to theoretical and practical challenges in mathematics. Her proficiency in computer programming languages and software tools enhances her capability to perform advanced computational analyses and simulations. Moreover, Dr. Kasinathan exhibits effective communication and collaboration skills, enabling her to engage in interdisciplinary research and collaborate with colleagues from diverse academic backgrounds. Overall, her comprehensive research skills contribute significantly to her success as a mathematician and facilitate the advancement of knowledge in her field.
Publications
- Title: Fractional stochastic Schrödinger evolution system with complex potential and poisson jumps: Qualitative behavior and T-controllability
- Authors: V. Sandrasekaran, R. Kasinathan, R. Kasinathan, D. Chalishajar
- Journal: Partial Differential Equations in Applied Mathematics
- Article: 100713
- Year: 2024
- Citations: 0
- Title: Exponential Stability of Higher-Order Fractional Neutral Stochastic Differential Equation via Integral Contractors
- Authors: D. Chalishajar, K. Dhanalakshmi, K. Ramkumar, K. Ravikumar
- Journal: arXiv preprint arXiv:2402.09590
- Year: 2024
- Citations: 0
- Title: Stability of Neutral Functional Stochastic Integro-Differential Delay Systems with Impulses
- Authors: K. Dhanalakshmi, P. Balasubramaniam
- Journal: Authorea Preprints
- Year: 2024
- Citations: 0
- Title: Well posedness of second-order non-instantaneous impulsive fractional neutral stochastic differential equations
- Authors: K. Dhanalakshmi, P. Balasubramaniam
- Journal: Bulletin des Sciences Mathématiques
- Volume: 189
- Article: 103350
- Year: 2023
- Citations: 1
- Title: Trajectory controllability of neutral stochastic integrodifferential equations with mixed fractional Brownian motion
- Authors: D. Chalishajar, R. Kasinathan, R. Kasinathan, D. Kasinathan, J.A. David
- Journal: Journal of Control and Decision
- Pages: 1-15
- Year: 2023
- Citations: 3
- Title: Exponential stability of impulsive fractional neutral stochastic integro-differential equations with nonlocal conditions
- Authors: K. Dhanalakshmi, P. Balasubramaniam
- Journal: Stochastics
- Volume: 95
- Issue: 7
- Pages: 1260-1293
- Year: 2023
- Citations: 1
- Title: Ulam–Hyers stability for second-order non-instantaneous impulsive fractional neutral stochastic differential equations
- Authors: K. Dhanalakshmi, P. Balasubramaniam
- Journal: Journal of Mathematical Physics
- Volume: 64
- Issue: 4
- Article: 042702
- Year: 2023
- Citations: 2
- Title: Exponential stability of second-order fractional stochastic integro-differential equations
- Authors: K. Dhanalakshmi, P. Balasubramaniam
- Journal: Filomat
- Volume: 37
- Issue: 9
- Pages: 2699-2715
- Year: 2023
- Citations: 1
- Title: Exponential stability of impulsive fractional neutral stochastic differential equations
- Authors: K. Dhanalakshmi, P. Balasubramaniam
- Journal: Journal of Mathematical Physics
- Volume: 62
- Issue: 9
- Year: 2021
- Citations: 7