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Muthuselvan. K

Faculty Associate, School of Engineering, Amrita Vishwa Vidyapeetham, Chennai.

Qualification: BSc, MSc
k_muthuselvan@ch.amrita.edu
Research Interest: Fractional Differential Equations,Control Theory,Fixed Point Theory,Differentiation,Signal Analysis, Filter System,MATLAB Simulation

Bio Publications Education Presentations Invited Talks Programs Jouranal Reviewer
Bio

Mr. Muthuselvan K. is currently serving as a Faculty Associate of Mathematics in the Department of Science and Humanities, School of Engineering, Amrita Vishwa Vidyapeetham, Chennai Campus. Mr. Muthuselvan registered for his PhD in the domain of controllability and fractional differential equations at Alagappa University, Karaikudi. His doctoral research is titled “New Techniques on Controllability of Fractional Differential Equations”. He has submitted his doctoral thesis and is awaiting the award of the degree. He obtained his Master of Science (M.Sc.) in Mathematics from Alagappa University, Karaikudi. He completed his Bachelor of Science (B.Sc.) in Mathematics from American College (Autonomous), Madurai.

He has over five years of research experience. He was a Junior Research Fellow (JRF) and Senior Research Fellow (SRF) under the DST-INSPIRE Scheme by the Department of Science and Technology, India.  He has published 7 research articles in highly reputed international journals. He has attended 30 conferences and workshops, including 8 paper presentations.

He is honored with the Shri. V. E. Ramanathan Smt. Umayal Ramanathan Sastiapthapoorthi Endowment “Gold Medal,” for securing First Rank at the M.Sc. examinations. He has actively participated in 6 prestigious training programs across India.

Publications

Journal Article

Year : 2024

A new effective technique of nonlocal controllability criteria for state delay with impulsive fractional integro-differential equation

Cite this Research Publication : K.S. Nisar, K. Muthuselvan, A new effective technique of nonlocal controllability criteria for state delay with impulsive fractional integro-differential equation, Results in Applied Mathematics, 21 2024, 100437.

Publisher : Elsevier

Year : 2024

A numerical computational technique for solving controllability of impulsive Hilfer fractional integro-differential equation with order 𝜗 𝜖 𝜗 𝜖 (1,2)

Cite this Research Publication : K. Muthuselvan, B. Sundaravadivoo, K.S. Nisar, F. S. Alshammari, A numerical computational technique for solving controllability of impulsive Hilfer fractional integro-differential equation with order 𝜗 𝜖 𝜗 𝜖 (1,2), Partial Differential Equations in Applied Mathematics, 11 (2024), 100778.

Publisher : Elsevier

Year : 2024

New technique for solving the numerical computation of neutral fractional functional integro-differential equation based on the Legendre wavelet method

Cite this Research Publication : K. Muthuselvan, B. Sundaravadivoo, K.S. Nisar, F. S. Alshammari, New technique for solving the numerical computation of neutral fractional functional integro-differential equation based on the Legendre wavelet method, AIMS Mathematics, 9(6) (2024) 14288–14309.

Year : 2023

Discussion on Iterative process of Nonlocal Controllability Exploration for Hilfer Neutral Impulsive Fractional Integro-Differential equation

Cite this Research Publication : K. Muthuselvan, B. Sundaravadivoo, K.S. Nisar, S. Alsaeed, Discussion on Iterative process of Nonlocal Controllability Exploration for Hilfer Neutral Impulsive Fractional Integro-Differential equation, AIMS Mathematics, 8(7) (2023), 16846-16863.

Year : 2023

New Interpretation on Topological Degree Method of Hilfer Fractional Neutral Functional Integro-Differential Equation with Nonlocal Condition

Cite this Research Publication : K. Muthuselvan, B. Sundaravadivoo, S. Alsaeed, K.S. Nisar, New Interpretation on Topological Degree Method of Hilfer Fractional Neutral Functional Integro-Differential Equation with Nonlocal Condition, AIMS Mathematics, 8(7) (2023), 17154-17170.

Year : 2023

Results on nonlocal controllability for impulsive fractional functional integro-differential equations via degree theory

Cite this Research Publication : K. Muthuselvan, B. Sundaravadivoo, K.S. Nisar, S.R. Munjam, W. Albalawi, A.H. Abdel-Aty, Results on nonlocal controllability for impulsive fractional functional integro-differential equations via degree theory, Results in Physics, 51(3) 2023, 106698.

Publisher : Elsevier

Year : 2022

Analyze existence, uniqueness and controllability of impulsive fractional functional differential equations

Cite this Research Publication : K. Muthuselvan, B. Sundaravadivoo, Analyze existence, uniqueness and controllability of impulsive fractional functional differential equations, Advanced Studies: Euro-Tbilisi Mathematical Journal, 10 (2022), 171-190.

Education
SI. No  Degree   Specialization    Year of Graduation   Institution 
1.  Ph.D. (To be Awarded) Fractional Differential Equation and Control Theory  2024 Alagappa University, Karaikudi.
2.  M.Sc.  Mathematics 2019 Alagappa University, Karaikudi.
3. B.Sc. Mathematics 2017 The American College (Autonomous), Madurai.
4. HSC Maths, Physics, Chemistry, Computer Science  2014 Mary Matha MHSS,Theni
5. SSLC Maths, Science, Social Science 2012 Hindu HSS, Jakkampatti, Andipatti, Theni.
Presentations

Paper Presentations:

  1. Presented a research paper titled “Existence and uniqueness results for nonlocal condition of Hilfer fractional neutral functional integro-differential equation by topological degree method” in the International Conference on Mathematical Modelling and Emerging Trends in Computing, School of Technology, Woxsen University, Hyderabad (In collaboration with APTSMS), India during June 23-25, 2023.
  2. Presented a research paper titled “An interpretation of topological degree method for impulsive fractional differential equation” in the International Conference on Recent Development and Techniques in Pure and Applied Mathematics, School of Mathematics, Alagappa University, Karaikudi, Tamil Nadu, India during March 23-24, 2023.
  3. Presented a research paper titled “An iterative process of nonlocal control lability exploration for Hilfer neutral impulsive fractional integro-differential equations” in the International Conference on “Fractional Calculus: Theory, Applications and Numerics, organized by Department of Mathematics, NIT, Karaikal, Puducherry, India through virtually held during January 27- 29, 2023.
  4. Presented a research paper titled “Topological degree method on nonlocal condition for impulsive fractional functional integro-differential equation” in the National Conference on Recent Developments in Fractional Calculus and its Applications, School of Arts, Sciences, Humanities and Education, SASTRA Deemed to be University, Thanjavur, Tamil Nadu, India during November 18-19, 2022.
  5. Presented a research paper titled “Existence, uniqueness and controllability on impulsive fractional integro-differential equations with state delay and nonlocal condition” in the National Conference on Numerical Analysis and Applications, Department of Mathematics, National Institute of Technology (NIT), Karaikal, Puducherry, India during January 06-07, 2022.
  6. Presented a research paper titled “Non-Instantaneous impulsive fractional integro-differential equation-Relative controllability interpretation” in the National Conference on Mathematical Theory of Control Jointly organized by National Institute of Technology (NIT) Puducherry and Indian Institute of Space Science and Technology (IIST) Trivandrum, India during December 10-12, 2020.
  7. Presented a research paper titled “Relative controllability of fractional differential equations with non-instantaneous impulse” in the First Online Conference on Modern Fractional Calculus and Its Applications, Biruni University, Istanbul, Turkey during December 04-06, 2020.
Invited Talks
  1. Invited as a chair person and delivered a talk on “How to prepare CSIR-NET and other competitive exams for Mathematical Sciences” on October 17, 2021 in the Universal Intellectuals Trust (UIT)”, Villupuram-605 001, Tamil Nadu, India.
  2. Invited as a chair person and delivered a talk on “Common University Entrance Test: Preparation, Tips and Tricks on Mathematics” on June 12, 2022 in the Universal Intellectuals Trust (UIT)”, Villupuram-605 001, Tamil Nadu, India.
Programs

Training Programs/ Certificate Courses

  1. Mathematics Training Talent Search (MTTS) (Level 2) Programme at SSN College of Engineering, Chennai held during May 21- June 16, 2018.
  2. Mathematics Training Talent Search (MTTS) (Level 0) Programme at Shiv Nadar University, Greater Noida, Delhi held during May 30-June 25, 2016.
  3. Mini-Mathematics Training Talent Search (MTTS) Programme at Yadava College, Madurai held during November 28-December 3, 2016.
  4. Successfully completed the training for “National Service Scheme (NSS)” Volunteer in The American College, Madurai from June 2014– April 2016.
  5. Leadership Camp for students in Theni conducted by Centre for Continuing Professional Development (CCPD), Kristu Jayanti College, Bangalore held during April 3-4, 2013.
  6. Internship Science Camp (INSPIRE) in CPA College Bodi, Theni held during December 26-30, 2012.
  7. Successfully completed the course in the following Module “Writing a persuasive cover letter for your manuscript” organized by Researcher Academy, ELSEVIER on June 29, 2020.
Jouranal Reviewer
  1. Advances in Science, Technology and Engineering Systems Journal.
  2. Journal of Emerging Technologies and Innovative Research.
  3. Journal of Advances in Mathematics and Computer Science.
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