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DR. PRAKASH P

Assistant Professor, Department of Mathematics, School of Engineering, Coimbatore

Qualification: MPhil, MSc, Ph.D
vishnuindia89@gmail.com
Research Interest: Fractional Calculus

Bio

Dr. P. Prakash currently serves as Assistant Professor at the Department of Mathematics, Amrita School of Engineering, Coimbatore Campus.

Publications

Journal Article

Year : 2022

Invariant subspace method for (m + 1)- dimensional non-linear time-fractional partial differential equations

Cite this Research Publication : P. Prakash, K.S. Priyendhu, M. Lakshmanan, Invariant subspace method for (m + 1)- dimensional non-linear time-fractional partial differential equations, Communications in Nonlinear Science and Numerical Simulation, 111 (2022), 106436, Elsevier. [SCI, Impact factor: 4.260]

Publisher : Communications in Nonlinear Science and Numerical Simulation

Year : 2021

Initial value problem for the generalized time-fractional two-dimensional convection-reaction-diffusion-wave equations

Cite this Research Publication : P. Prakash, K.S. Priyendhu, K.M.Anjitha, Initial value problem for the generalizedtime-fractional two-dimensional convection-reaction-diffusion-wave equations, Computational and Applied Mathematics, 40(2021), 1-42, Springer [SCI, Impact factor:2.239, Citations: 1].

Publisher : Springer

Year : 2021

On Lie symmetry analysis of certain coupled fractional ODE

Cite this Research Publication : K. Sethukumarasamy, P. Vijayaraju, P. Prakash, On Lie symmetry analysis of certain coupled fractional ODEs, Journal of Nonlinear Mathematical Physics, 28(2)(2021), 219-241, Atlantis Press

Publisher : Journal of Nonlinear Mathematical Physics

Year : 2021

On group analysis, conservation laws and exact solutions of time-fractional Kudryashov-Sinelshchikov equation

Cite this Research Publication : Prakash, P. On group analysis, conservation laws and exact solutions of time-fractional Kudryashov–Sinelshchikov equation. Comp. Appl. Math. 40, 162 (2021). https://doi.org/10.1007/s40314-021-01550-2

Publisher : Comp. Appl. Math.

Year : 2020

Exact solutions of generalized nonlinear time-fractional reaction–diffusion equations with time delay

Cite this Research Publication : Prakash, P., Choudhary, S. & Daftardar-Gejji, V. Exact solutions of generalized nonlinear time-fractional reaction–diffusion equations with time delay. Eur. Phys. J. Plus 135, 490 (2020). https://doi.org/10.1140/epjp/s13360-020-00445-1

Publisher : Eur. Phys. J. Plus

Year : 2020

Invariant subspaces and exact solutions for some types of scalar and coupled time-space fractional diffusion equations,

Cite this Research Publication : Prakash, P. Invariant subspaces and exact solutions for some types of scalar and coupled time-space fractional diffusion equations. Pramana - J Phys 94, 103 (2020). https://doi.org/10.1007/s12043-020-01964-3

Publisher : Pramana - J Phys

Year : 2019

Invariant subspaces and exact solutions for a system of fractional PDEs in higher dimensions

Cite this Research Publication : Choudhary, S., Prakash, P. & Daftardar-Gejji, V. Invariant subspaces and exact solutions for a system of fractional PDEs in higher dimensions. Comp. Appl. Math. 38, 126 (2019). https://doi.org/10.1007/s40314-019-0879-4

Publisher : Comp. Appl. Math

Year : 2019

Lie symmetry analysis and conservation laws of certain time fractional partial differential equations

Cite this Research Publication : Sahadevan, Ramajayam & Ponnusamy, Prakash. (2019). Lie symmetry analysis and conservation laws of certain time fractional partial differential equations. International Journal of Dynamical Systems and Differential Equations. 9. 44. 10.1504/IJDSDE.2019.098410.

Publisher : International Journal of Dynamical Systems and Differential Equation

Year : 2017

Exact solutions and maximal dimension of invariant subspaces of time fractional coupled nonlinear partial differential equations

Cite this Research Publication : R. Sahadevan, P. Prakash, Exact solutions and maximal dimension of invariant subspaces of time fractional coupled nonlinear partial differential equations, Communications in Nonlinear Science and Numerical Simulation, Volume 42, 2017, Pages 158-177

Publisher : Communications in Nonlinear Science and Numerical Simulation

Year : 2017

Lie symmetry analysis and exact solution of certain fractional ordinary differential equations

Cite this Research Publication : Prakash, P., Sahadevan, R. Lie symmetry analysis and exact solution of certain fractional ordinary differential equations. Nonlinear Dyn 89, 305–319 (2017). https://doi.org/10.1007/s11071-017-3455-8

Publisher : Nonlinear Dyn

Year : 2017

On Lie symmetry analysis and invariant subspace methods of coupled time fractional partial differential equations

Cite this Research Publication : R. Sahadevan, P. Prakash, On Lie symmetry analysis and invariant subspace methods of coupled time fractional partial differential equations, Chaos, Solitons & Fractals, Volume 104, 2017, Pages 107-120 ISSN 0960-0779,

Publisher : Chaos, Solitons & Fractals

Year : 2016

Exact solution of certain time fractional nonlinear partial differential equations

Cite this Research Publication : Sahadevan, Ramajayam & Ponnusamy, Prakash. (2016). Exact solution of certain time fractional nonlinear partial differential equations. Nonlinear Dynamics. 85. 10.1007/s11071-016-2714-4.

Publisher : Nonlinear Dynamics

Year : 2016

Optimization of Virtual Machine Placement

Cite this Research Publication : A. R. Ragavi Priyadharshini, Koushika, K., and Prakash, P., “Optimization of Virtual Machine Placement”, Asian Journal of Information Technology, vol. 15, pp. 2306-2312, 2016.

Publisher : Asian Journal of Information Technology, Medwell Journals,

Educational Qualifications

DOCTOR OF PHILOSOPHY (PH.D.) IN MATHEMATICS
Ramanujan Institute for Advanced Study in Mathematics April 2014- Oct 2018
University of Madras, Chennai.
Result: Highly Commended.
Research Area: Differential Equations and Fractional Calculus
MASTER OF PHILOSOPHY (M.PHIL.) IN MATHEMATICS 2012-2013
Ramanujan Institute for Advanced Study in Mathematics
University of Madras, Chennai.
Result: Highly Commended
MASTER OF SCIENCE (M.SC.) IN MATHEMATICS 2010-2012
Department of Mathematics,
P.S.G College of Arts and Science,
Coimbatore.
Result: First Class with Distinction (86 %)
BACHELOR OF SCIENCE (B.SC.) IN MATHEMATICS 2007-2010
Gobi Arts & Science College
Gobichettipalayam, Erode.
Result: First Class with Distinction (88.30 %)
HIGHER SECONDARY COURSE (H.S.C.) 2005-2006
Government Higher Secondary School
Cheyur, Tirupur.
Result: First Class

Ph.D - Thesis Title

tudies on Exact Solutions of Certain Scalar and Coupled Fractional Nonlinear Differential Equations.

Recent Visit in Abroad

# Attended: International Congress of Mathematician (ICM)-2018, Brazil.
# Attended: 5-Heidelberg Laureate Forum (HLF)-2017, Germany.
# Visited: Heidelberg Institute for Theoretical Studies (HITS)-September 2017, Germany

Awards / Achievements

G# A.M.Mathai Research Award-2020, Indian Mathematical Society.
G# Outstanding Reviewer Award-2018, Applied Mathematics and Computation, Elsevier.
G# ICM-2018 Travel Grant Fellowship, Brazil.
G# Heidelberg Laureate Forum Travel Grant Fellowship-2017, Germany.
G# Awarded: National Eligibility Test (CSIR(NET)-2016) for Lectureship in Mathematics conducted by Council of Scientific & Industrial Research(CSIR) and University
Grants Commission(UGC), Government of India.
G# Awarded: Junior Research Fellowship (CSIR(NET+JRF)-2015) in Mathematics
conducted by Council of Scientific & Industrial Research and University Grants Commission, Government of India.
G# Awarded: State Eligibility Test (SET-2016) for Lectureship in Mathematics conducted by Government of Tamil Nadu.
G# Awarded: Graduate Aptitude Test in Engineering (GATE-2015) conducted by Department of Higher Education, Ministry of Human Resource Development (MHRD),
Government of India.
G# College Third Rank Holder in Bachelor of Science (Mathematics).
G# School Second Rank Holder in Secondary School Leaving Certificate.

Teaching Experience

# Department of Mathematics, Amrita Vishwa Vidyapeetham University- 4 years and 4
months.

Fellowships

# Travel grant for attending International Congress of Mathematician-2018 by International Mathematical Union (IMU), Germany & ICM Organizing Committee, Brazil.
G# Travel grant for attending 5-th Heidelberg Leureate Forum-2017 by Heidelberg Laureate Forum Foundation, Germany.
G# UGC-Special Assistance Programme fellow from 04.01.2016 to 14.12.2018 by University Grants Commission(UGC), New Delhi, Government of India.
G# Master of Philosophy-UGC(Non-NET) Fellowship from 18.08.2012 to 17.08.13 by
University Grants Commission(UGC), New Delhi, Government of India

Research Collaborators

G# Prof. M. Lakshmanan, FNASc, FASc, FNA, FTWAS, Department of Nonlinear Dynamics, Bharathidasan University.
G# Prof. Varsha Daftardar-Gejji, Department of Mathematics, Savitribai Phule Pune University, Pune.
G# Prof. R. Sahadevan, RIASM, University of Madras, Chennai.
G# Prof. P. Vijayaraju, Department of Mathematics, Anna University, Chennai.
G# Dr. T. Bakkyaraj, Department of Mathematics, IIIT-Kottayam.
G# Dr. Arran Fernandez, Department of Applied Mathematics and Theoretical Physics,
University of Cambridge, Cambridge, UK.

Reviewer:

G# Journal of Geometry and Physics, Elsevier.
G# Nonlinear Dynamics, Springer.
G# Applied Mathematics and Computation, Elsevier.
G# The Journal of Analysis, Springer.
G# Complexity, Wiley.
G# Advances in Difference Equations, Springer.
G# Pramana – Journal of Physics, Springer.
G# Communications in Nonlinear Science and Numerical Simulation, Elsevier.
G# The European Physical Journal Plus, Springer.
G# Mathematical Methods in the Applied Sciences, Wiley.
G# Mathematical Modelling and Analysis, Vilnius Gediminas Technical University.
G# Journal of Function Spaces, Hindawi.
G# Advances in Mathematical Physics, Hindawi.

Invited Talks:

# Department of Mathematics, University of Pune, Maharastra.
G# Center for Nonlinear Dynamics, Bharathidasan University.
G# Ramanujan Institute for Advanced Study in Mathematics, University of Madras.
G# Department of Mathematics, Amrita Vishwa Vidyapeetham University.
G# Department of Mathematics, Gobi Arts and Science College.
G# Department of Mathematics, Sri Krishna Arts and Science College.
G# Department of Mathematics, Kongu Nadu Arts and Science College.
G# Department of Mathematics, Sri Narayana Guru College.
G# Department of Mathematics, PSG College of Arts and Science.

Board of Studies Member from 2018 to 2022:

G# Department of Mathematics, Gobi Arts and Science College.

Conferences/ Seminars/Summer Schools/ Workshops Organized

G# One day International Webinar on Algebra, Differential Equations & Its Applications
organized at department of Mathematics, Amrita Vishwa Vidyappetham on 20 Nov 2022

Invited talk at National/International Conferences/ Workshops

G# Invited talk at 25th Ramanujan Symposium National conference on Nonlinear Fractional
Differential Equations held at Ramanujan Institute for Advanced Study in Mathematics,
University of Madras, Chennai, during March 09-11, 2022.
G# Invited talk at International Conference on Fractional Calculus : Analysis & Applications at Department of Mathematics, Savitribai Phule Pune University,Pune, during
August 20-21, 2021.
G# Invited talk at 86th Annual conference of Indian Mathematical Society: An International Meet at VIT Vellore, During December 17-20, 2020.
G# Invited talk at International Virtual Conference on Dynamical Systems and Soft Computing at Department of Mathematics, Gobi Arts and Science College, during March 5-6,
2021.

Paper Presentation in Conferences/ Seminars/Workshops

G# A paper entitled “Invariant subspaces and explicit solutions of fractional nonlinear partial
differential equations” held on August 1-9, 2018, at International Congress of Mathematicians, Rio de Janerio, Brazil.
G# A paper entitled “Generalized Mittag-Leffler function and Laplace transform: Certain
mathematical aspects of fractional calculus” held on March 24-26, 2016, at the Department of Mathematics, Bharathiar University, Coimbatore.
G# A paper entitled “Exact solutions and Invariant Subspaces of Time Fractional Nonlinear
System of Partial Differential Equations” held on March 2-4, 2016, at RIASM, University
of Madras, Chennai.
G# A paper entitled “Exact Solutions and Maximal dimensions of Invariant Subspaces of
Nonlinear System of Evolution Equations” held on March 26-27, 2015, at the Department
of Mathematics, Bharathiar University, Coimbatore.
G# A paper entitled Cyper Crime Security in the National Seminar on Advances in Applied
Mathematics held on 6th March 2012, at the Department of Mathematics with Computer
Applications, Nirmala College For Women , Coimbatore.

Conferences/ Seminars/Summer Schools/ Workshops Attended

G# 20th Ramanujan Symposium International conference on Fourier Analysis and Wavelets
held at Ramanujan Institute for Advanced Study in Mathematics, University of Madras,
Chennai, during March 21-25, 2017.
G# Science Academies Lecture Workshop on “Differential Equations” held at P.G. and Research Department of Mathematics, Sri Vasavi College, Erode, during December 12-14,
2016.
G# One Day Symposium on Geometric Function Theory and Special Functions held at Indian Statistical Institute, Chennai, during August 31, 2016.
G# SERB School on “Matrix Methods and Fractional Calculus-2015” held at Centre for
Mathematical and Statisticial Sciences, Peechi Campus, Thrissur, during Jun 15 – July
10, 2015.
G# Mathematics Workshop on Aspects of Mathematics held at The Institute of Mathematical
Sciences, Chennai during Jun 30 – July 01, 2014.
G# National Program on Differential Equations (Advanced Level): Theory, Computation
7
& Applications(NPDE-TCA) held at Indian Institute of Science Education & Research,
Thiruvananthapuram during May 26 – June 13, 2014.
G# National Program on Differential Equations (Postgraduate Level): Theory, Computation
& Applications(NPDE-TCA) held at Indian Institute of Technology, Madras during May
20 – June 08, 2013.
G# Eighteenth Ramanujan Symposium on Recent Trends in Dynamical Systems & Mathematical Modelling during September 25 – 27, 2013 held at Ramanujan Institute for
Advanced Study in Mathematics, University of Madras, Chennai.
G# National Conference on Advances in Applied Mathematics held on 20 to 21 Jan 2011, at
the Department of Applied Mathematics, Bharathiar University, Coimbatore

Miscellaneous

G# Softwares Known: LATEX, Maple, Mathematica.

Personal Details

Father’s Name : Mr K. Ponnusamy
Mother’s Name : Mrs P. Rajammal
Gender : Male
Marital Status : Married
Nationality : Indian
Permanent Address : 28/5, Kodangi Kadu, Koottappalli,
PunjaithamaraiKulam(Post),
Avinashi(Tk), Tirupur(Dt), Pin-638460.
INDIA.
Postal Address : Assistant Professor,
Department of Mathematics,
Amrita Vishwa Vidyapeetham,
Amrita Nagar(Post),
Ettimadi,Coimbatore-641112,INDIA.

References

1. Prof.Dr. R. Sahadevan (Ph.D. Supervisor)
Former CSIR-Emeritus Scientist & Former UGC Emeritus Professor,
Former Director and Head,
Ramanujan Institute for Advanced Study in Mathematics,
University of Madras, Chennai-600 005,
Tamilnadu, INDIA. H: 09444835592
B: ramajayamsaha@yahoo.co.in
2. Prof.Dr. M. Lakshmanan, FNASc, FASc, FNA, FTWAS
Professor of Eminence &
DST-SERB National Science Chair,
Centre for Nonlinear Dynamics,
Bharathidasan University,
Trichy-620024,
Tamilnadu, INDIA.
B: lakshman.cnld@gmail.com
3. Prof.Dr. Varsha Daftardar-Gejji
Senior Professor and Head,
Department of Mathematics,
Savitribai Phule Pune University,
Pune, Maharashtra 411007, INDIA.
B: vsgejji@gmail.com
4. Prof.Dr. P. Vijayaraju
Former Head,
Department of Mathematics,
Anna University,
Chennai-600025, INDIA.
H: +919884645349
B: pvijayaraju2009@gmail.com

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