:: Welcome to Gayatri Vidya Parishad College of Engineering (Autonomous) ::

Department of Mathematics

Vision:

To be a centre of excellence in Mathematics and actively engage in teaching and research.

Mission:

To transform young talent into skilled professionals with a sound theoretical base and practical knowledge of Mathematical tools.
To be a centre for advanced research in various areas of mathematics.
To cater to the development of the nation, particularly the Andhra Pradesh region, through research and other academic activities.

About the Department:

With 9 doctorates in a contingent of 11 members, the faculty of the Department of Mathematics is very active and strong in both teaching and research. The department caters to the needs of the engineering students by offering all the necessary prerequisite mathematics courses required in the curriculum. It makes specific efforts and caters to the needs of slow learners and students having back logs.

The faculty have published more than 200 research papers in peer reviewed journals to date. With two faculty as Research guides, five research scholars obtained their Doctoral degree and a few more are in the offing. One faculty member is in the editorial board of four international journals and also reviews for American Mathematical Reviews and Zentralblatt Math. A couple of faculty are reviewers for various international journals. A couple of faculty co-authored research monographs and text books for undergraduate and graduate students.

The department in association with the Gayatri Vidya Parishad Professor V. Laksmikantham Institute for Advanced Studies (GVP-LIAS) organizes seminars/workshops/conferences every year. They organized four International conferences titled, “Recent Advances in Mathematical Sciences and Applications (RAMSA)” in 2009, 2013 2017 and 2021. They also conduct GVP Math Olympiad every year for students of engineering in and around Visakhapatnam. Most of the faculty regularly attend conferences/seminars/workshops as resource persons/paper presenters/participants. The department also boasts of hosting a good number of distinguished mathematicians from various parts of the country and from abroad.

Thrust Areas of Research:

Ordinary Differential Equations
Fractional Differential Equations
Graph Differential Equations
Integro Differential Equations
Set Differential Equations
Impulsive Differential Equations
Nonlinear Analysis
C - Algebra
Stone Algebra
Lattice Theory
Relativity and Cosmology
Fixed point Theory

Courses offered by the Department:

S No	Course Code	Course Name	Branches
1	20BM1101	Calculus And Linear Algebra	B. Tech (Common to the branches Chemical, Civil, CSE, ECE, EEE, IT, Mechanical, Mechanical (Robotics))
2	20BM1102	Multivariable Calculus	B. Tech (Common to the branches CSE(AI & ML) and CSE(Data Science))
3	20BM1103	Ordinary Differential Equations And Vector Calculus	B. Tech (Common to the branches Chemical, Civil, ECE, EEE, IT, Mechanical, Mechanical (Robotics))
4	20BM1104	Probability And Statistics	B. Tech (CSE)
5	20BM1105	Differential Equations And Integral Transforms	B. Tech (Common to the branches CSE(AI & ML) and CSE(Data Science))
6	20BM1106	Transform Techniques And Complex Variables	B. Tech (Common to the branches Civil, ECE, EEE, Mechanical, Mechanical (Robotics))
7	20BM1107	Fourier Transforms, Probability And Statistics	B. Tech (Chemical)
8	20BM1108	Discrete Mathematical Structures	B. Tech (Common to the branches CSE, IT)
9	20BM1109	Statistical Methods	B. Tech (Common to the branches CSE(AI & ML) and CSE(Data Science))
10	20BM1110	Linear Algebra And Applications	B. Tech (Common to the branches CSE(AI & ML) and CSE(Data Science))
11	20BM1111	Numerical Methods, Probability And Statistics	B. Tech (Common to the branches Civil, EEE, Mechanical, Mechanical (Robotics) and IT)
12	20BM1112	Numerical Methods And Random Variables	B. Tech (ECE)
13	20BM1113	Numerical Methods	B. Tech (CSE)
14	20BM3101	Mathematical Foundations Of Computer Applications	MCA

Faculty Details:

S.No	Name of the faculty	Qualification	Designation	Teaching experience in years
1	Dr. RVG Ravi Kumar	M.SC, Ph. D	Professor	21
2	Dr. J. Vasundhara Devi	M.SC, Ph. D	Professor	32
3	Dr. A R J Srikanth	M.SC, Ph. D	Asst. Prof.	20
4	Dr. N Giri babu	M.SC, Ph. D	Asst. Prof.	17
5	Dr. Ch V Sreedhar	M.SC, Ph. D	Asst. Prof.	20
6	Dr S S A Sastri	M.SC, Ph .D	Asst. Prof.	28
7	Dr.Ch Appala Naidu	M.SC, Ph. D	Asst. Prof.	11
8	Mr. I S N R G Bharat	M.SC	Asst. Prof.	8
9	Mr. S. Srinivasa Rao	M.SC	Asst. Prof.	10
10	Dr. J Sathish	M.SC, Ph. D	Asst. Prof.	20
11	Mr. Ganti Srikanth	M.SC	Asst. Prof.	18

Books Published:

A Text book on Engineering Mathematics-I” Excel publishers, New Delhi, November 2010 with U,M. Swamy, P. Vijaya Lakshmi and K.L.Sai Prasad (Prescribed text book for I semester B.Tech., Mathematics-I course JNTU-K, R10 ).
A Text book on Engineering Mathematics-II” Excel publishers, New Delhi, November 2010 with U,M. Swamy, P. Vijaya Lakshmi and R.V.G.Ravi Kumar, (Prescribed text book for II semester B.Tech., Mathematics-I course JNTU-K, R10 ).
Linear Algebra to Differential Equations Chapman and Hall/CRC, ISBN 978081536, coauthored with S.G.Deo and Khandeparkar.
Theory of Fractional Differential Equations Using Inequalities and Comparison Theorems: A Survey, with F. A. McRae and Z. Drici, in the book titled Current Trends in Fractional Calculus and Fractional Differential Equations published by Springer Nature India Private Limited.
An Exposition on Mathematical Models involving Various Types of Differential Equations, with F. A. Mc Rae and Z. Drici, in the book titled Mathematics in Engineering Sciences: Novel Theories, Technologies, and Applications published by CRC Press.

Research Projects:

S.No.	Title of the Project	Name of Coordinator	Sanction details	Funding Agency	Cost (in Lakhs)
1	Qualitative Study of Set Differential Equations involving Causal Operators with Memory	Dr. J.Vasundhara Devi (Principal Investigator) Dr.G.V.S.R. Deekshitulu (Co-Principal Investigator)	SR/S4/MS: 491/07 dated 12-01-09	SERC-DST	9.84
2	A Qualitative Study of Graph Differential Equations and Matrix Differential Equations	Dr. J.Vasundhara Devi (Principal Investigator) Dr. R. V. G. Ravi Kumar, (Co-Principal Investigator)	Project 2/48(8)/2011/ - R&D II/1600 dated Feb. 8^th 2012	NBHM-DAE	20.43
3	A Computational Study of Fractional Differential Equations	Dr. J.Vasundhara Devi (Principal Investigator) Dr. R. V. G. Ravi Kumar, (Co-Principal Investigator) Dr. S. K. Sen, (Co-Principal Investigator)	EMR/2016/00357, dated 8th Feb. 2017	SERB-DST	16.33

Research Supervisors:

S. No.	Name of the Faculty Supervisor	No. of Students Awarded Ph.D Degree
1	Dr. J. Vasundhara Devi	06
2	Dr. R.V.G. Ravi Kumar	01

Research Publications:

S.No.	Publication Details	Year of Publication
1	Ganti Srikanth, Gopinathan Sudheer, “A note on the solutions of cubic equations of state in low temperature region” , Journal of Molecular Liquids 315(2020) 113808	2020
2	J. Satish, “LRS Bianchi Type II String Model with Variable Deceleration Parameter in f(R, T)Gravity” The African Review of Physics (2019) 14: 0016 pp 116-124	2019
3	Ch. V. Sreedhar, J. Vasundhara Devi1, “Generalized Quasilinearization using coupled lower and upper solutions for periodic boundary value problem ofan integro differential equation,” European Journal of Pure and Applied Mathematics, Vol. 12, No. 4, 2019, 1662-1675.	2019
4	A.R.J.Srikanth, RVG Ravi Kumar and G V S R Deekshitulu , Core Rough Set Algebra and its connection to Core Regular Double Stone Algebra in Journal of Indian mathematical society, Vol. 86, 3-4, 325-340.	2019
5	J. Vasundhara Devi, I.S.N. R. G Bharat, Generalized Quasilinearization for PBVP through coupled lower and upper solutions of the IVP” Dynamics of Continuous Discrete and Impulsive Systems, 26 (2019)371-380	2019
6	J. Vasundhara Devi , A. Renuka Lakshmi , Strong Split Litact Domination in Graphs” in International Journal of Recent Technology and Engineering, Vol. 8, 3, 7296-7300, 2019.	2019
7	J. Vasundhara Devi, M. Vani, Connected Edge Litact Domination in Graphs” in International Journal of Innovative Technology and Exploring Engineering., Vol. 8, 11, 1593-1596, 2019	2019
8	Syamal K Sen, J. Vasundhara. Devi, RVG Ravi Kumar, Can Fractional Calculus Be Generalized: Problems And Efforts, European journal of Pure And Applied mathematics Mathematical Society, Vol 11, No.3, pp 1058-1099 ,2018.	2018
9	J. Satish, Anisotropic Bianchi Type-VI0 Two Fluid Cosmological Model Coupled with Massless Scalar Field and Time-Varying G and Λ” Bulg. J. Phys. 46 (2019) 67–79.	2018
10	S.S.A.Sastri, Fixed Point Theorems In Dislocated Quasi B-Metric Spaces” in International Journal of Mathematical Archive- 10(1), Jan.-2019	2018
11	J. Vasundhara Devi , M. Vani, Total Litatct Domination in Graphs, Journal of Advanced Research in Dynamical and Control systems, Vol. 10, 1924-1926, 2018	2018
12	J. Vasundhara Devi , A. Renuka Lakshmi , Strong Litact Domination in Graphs” in International Journal of Advanced Research in Dynamical and Control Systems, Vol. 10, 887-892, 2018.	2018
13	Syamal K Sen, J. Vasundhara. Devi, RVG Ravi Kumar, New Limit Definition of Fractional Derivatives: Toward Improved Accuracy and Generalization” in Malaya Journal of Matematik, Vol. 7, No. 2, 182-191, 2019.	2018
14	A.R.J.Srikanth, and RVG Ravi Kumar “Ideals of Core Regular Double Stone Algebra”, Asian-European Journal of Mathematics, Vol. 11, No.6, 1850083-1 to 14.	2017
15	J. Vasundhara Devi, Ch Appala Naidu, and D B Dhaigude, stability results in terms of two measures for set differential equtions involving causal operators, European journal of Pure And Applied mathematics Mathematical Society, Vol 22, No.4, pp 645-654 ,2017.	2017
16	A.R.J.Srikanth, and RVG Ravi Kumar “Centre of Core regular double stone algebra”, European journal of Pure And Applied mathematics Mathematical Society, Vol 10, No.1, pp 717-729 ,2017.	2017
17	J Vasundhara Devi, Z. Drici and F.A Mc Rae, Differential Inequalities and the Comparison Principle: The Core of Professor V. Lakshmikantham’s Research, Nonlinear World – Journal of Interdisciplinary Nature, Vol. 1 (1), 2017.	2017
18	Ch Appala Naidu, and D B Dhaigude, “Monotone iterative technique for Set differential equations for periodic boundary value problems Set differential equations involving Causal Operators”, Dynamics of Continuous, Discrete & Impulsive Systems Series A: Mathematical Analysis, 24 (2017) 133-146	2017
19	N Giribabu, J Vasundhara Devi, and G V S R Deekshitulu, “Monotone Iterative Technique for Caputo Fractional Differential Equations with Variable Moments of Impulse”, Dynamics of Continuous, Discrete & Impulsive Systems Series B: Applications and Algorithms , 24 (2017) 25-48.	2017
20	N Giribabu, J Vasundhara Devi, and G V S R Deekshitulu, “The Method of Upper and Lower Solutions for Initial Value Problem of Caputo Fractional Differential Equations with Variable Moments of Impulse”, Dynamics of Continuous, Discrete & Impulsive Systems Series A: Mathematical Analysis , 24 (2017) 41-54.	2017
21	J. Vasundhara Devi, S. Nagamani, K. Jayalakshmi, Solutions Of Riemann-Liouville Fractional Matrix Differential Equations, J. of Ramanujan Society of Math. and Math. Sc. Vol. 5 (1), 111-116, 2016.	2016
22	J. Vasundhara Devi, Ch. V. Sreedhar, Generalized Monotone Iterative Method for Caputo Fractional Integro-differential Equations, European Journal Of Pure And Applied Mathematics, Vol 9 (4), 346-359, 2016	2016
23	J.Vasundhara Devi, Z. Drici, and F. A. Mc Rae, “Differential equations-retardation, anticipation and synchronized anticipation-A survey”, Mathematics In Engineering, Science and Aerospace MESA - Vol. 7, No. 2, pp. 351-376, 2016	2016
24	J. Vasundhara Devi, “Stability in terms of two measures for matrix differential equations and graph differential Equations”, Nonlinear Dynamics and System Theory, volume 16, number 2, 2016, pgno 179-191.	2016
25	J. Vasundhara Devi, S.N.R.G. Bharat Iragavarapu, and S. Srinivasa Rao, “Quasilinearization Technique For Periodic Boundary Value Problem Of Graph Differential Equations And Its Associated Matrix Differential Equations”, Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications & Algorithms 23 (2016) 287-300, 2016 Watam Press	2016
26	N. Ch. N. Suresh, Syamal K. Sen, J. Vasundhara Devi, Nonlinear singular BVP in Circular Membrane: Interpolation-Based fail-proof Matlab solver, Proceedings of 60th congress of ISTAM, 1-31, 2015	2015
27	J. Vasundhara Devi, Z. Drici, and F. A. Mc Rae, Existence result for periodic boundary value problem of Set differential equations using Monotone iterative technique, Communications in Applied Analysis 19 (2015), 245-256.	2015
28	J. Vasundhara Devi, S.N.R.G. Bharat Iragavarapu, and S. Srinivasa Rao, Periodic boundary value problems for the graph differential equations and matrix differential equations, Malaya Journal of Matematik, Vol. 3, No. 4, 598-606, 2015.	2015
29	A. R. J. Srikanth, RVG Ravi Kumar, M. P. K. Kishore, Core Regular Double Stone Algebra, Journal of Calcutta Mathematical Society, 11, (1), 1-10, 2015.	2015
30	S. Srinivasa Rao, RVG Ravi Kumar, Existence results for Graph Differential Equations through its associated Matrix Differential Equations, Global Journal of Mathematical Sciences, Vol. 2 (2), 107-110, 2015.	2015
31	Ch. Appala Naidu, Stability results for Impulsive Set Differential Equations Involving Causal Operators with Memory, Global Journal of Mathematical Sciences, Vol. 2 (2), 55-59, 2015.	2015
32	S.N.R.G. Bharat Iragavarapu, RVG Ravi Kumar, Genearlized Quasilinearization for Graph Differential Equations through its associated Matrix Differential Equations, Global Journal of Mathematical Sciences, Vol. 2 (2), 71-75, 2015.	2015
33	N Giribabu, On pulse phenomena involving Hybrid Caputo Fractional Differential Equations with Variable moments of Impulse, , Vol. 7, No. 2, 2014, 93-101.	2015
34	J. Vasundhara Devi, Ch. V. Sreedhar, N. Ch. N. Suresh, Global Journal of Mathematical Sciences, Vol. 2 (2), 49-53, 2015.	2015
35	J. Vasundhara Devi, N Giribabu, On Hybrid Caputo Fractional Differential Equations with Variable Moments of Impulse, European Journal Of Pure And Applied Mathematics, Vol. 7, No. 2, 2014, 115-128	2014
36	J. Vasundhara Devi, Z. Drici, and F. A. Mc Rae, On the comparison principle and existence results for terminal value problems, Nonlinear Studies, Vol. 21 No. 2, 269-282, 2014.	2014
37	J. Vasundhara Devi, M. P. K. Kishore, RVG Ravi Kumar, On existence of component dominating solutions for fractional differential equations, Nonlinear Studies, Vol. 21 No. 1, 45-52, 2014.	2014
38	J. Vasundhara Devi, RVG Ravi Kumar, Modelling the Prey Predator problem by Graph Differential Equations, , European Journal Of Pure And Applied Mathematics, Vol 7 (1), 37-44, 2014	2014
39	J. Vasundhara Devi, S. Nagamani, On fractional hyperbolic functions and their generalizations Nonlinear Studies, Vol. 20 No. 3, 2013, 1-19.	2013
40	J. Vasundhara Devi, RVG Ravi Kumar, N Giribabu, On graph differential equations and its associated matrix differential equations, Malaya Journal of Matematik, Vol. 1, No. 1, 1-9, 2013.	2013
41	J. Vasundhara Devi, Z. Drici, and F. A. Mc Rae, Terminal value problems for Caputo Fractional Differential Equations, Dynamic Systems and Applications, 22 (2013) 425-432.	2013
42	J. Vasundhara Devi, S. G. Deo, S. Nagamani, On Fractional Trigonometric Functions and their Generalizations, Dynamic Systems and Applications, 22 (2013) 337-354.	2013
43	J. Vasundhara Devi, Ch Appala Naidu, Boundedness results for Set Differential Equation involving Causal operators with Memory, Communications in Applied Analysis, 17(2013), No. 1, 9-20.	2013
44	J. Vasundhara Devi, M. Krishna Sastry, Generalized Monotone Technique for Hybrid Caputo Fractional Differential Equations, Communications in Applied Analysis, 17(2013), No. 1, 109-128.	2013