Biosketch

Research Interests

Dynamic Inequality, Fractional Calculus, Time Scale Calculus

Educational Details     

Ph.D., Functional Analysis                                                                              August 2008   

IIT Kharagpur, India

Professional Background                          

Assistant Professor,   BIT Mesra                                                                         June 2008- October 2011

Assistant Professor, IIIT Bhubaneswar                                                            October 2011- Present   

Research Project: 

Topic: Crypto currency Forecasting using Fuzzy Models

Starting Date:   March 2023

Funding Agency:  Higher Education Council, Odisha            

Publications:

Some of my selected Publications:

A WEIGHTED HARDY-TYPE INEQUALITY IN TIME SCALE, 

S. Sahoo, S. K. Sunanda, 

Journal of Indian Mathematical Society, Vol. 91, Nos. (3–4) (2024), 287–302.

DOI: 10.18311/jims/2024/31819

A secured lightweight authentication protocol for vehicular ad hoc network using blind signature 

K Samal, S K  Sunanda, D Jena, S Patnaik

International Journal of Communication Networks and Distributed Systems; 

Vol- 30, Issue–4, (2024), 500-521                                                                                        

Extended convergence ball for an efficient eighth order method using only the first

Derivative, IK Argyros, D Sharma, CI Argyros, SK Parhi, SK Sunanda

SeMA Journal, 80, 319-331; 2023, https://doi.org/10.1007/s40324-022-00287-0

 Extended three step sixth order Jarratt-like methods under generalized conditions for

nonlinear equations; IK Argyros, D Sharma, CI Argyros, SK Parhi, SK Sunanda, MI

Argyros, Arabian Journal of Mathematics, 11: 443-457, 2022;

https://doi.org/10.1007/s40065-022-00379-9

A study on the local convergence and complex dynamics of Kou’s family of iterative

methods; IK Argyros, D Sharma, SK Parhi, SK Sunanda, SeMA Journal 79 (2), 365-381,2022

https://doi.org/10.1007/s40324-021-00257-y

Extended iterative schemes based on decomposition for nonlinear models; IK Argyros, D

Sharma, CI Argyros, SK Parhi, SK Sunanda, Journal of Applied Mathematics and Computing 

68 (3), 1485-1504, 2022 https://doi.org/10.1007/s12190-021-01570-5

 Extending the applicability and convergence domain of a higher-order iterative algorithm

under ω condition; IK Argyros, D Sharma, CI Argyros, SK Parhi, SK Sunanda

Rendiconti del Circolo Matematico di Palermo Series 2 71 (1), 469-482, 2022

https://doi.org/10.1007/s12215-021-00624-8

 On the Convergence of Harmonic Mean Newton Method Under ω Continuity Condition

in Banach Spaces; IK Argyros, D Sharma, CI Argyros, SK Parhi, SK Sunanda

International Journal of Applied and Computational Mathematics, 7, 219, 2021

https://doi.org/10.1007/s40819-021-01159-3

 Extended ball convergence for a seventh order derivative free class of algorithms for

nonlinear equations; IK Argyros, D Sharma, CI Argyros, SK Parhi, SK Sunanda

Matematychni Studii 56 (1), 72-82, 2021 

 Convergence of Traub's Iteration under Continuity Condition in Banach Spaces; D

Sharma, SK Parhi, SK Sunanda Russian Mathematics 65 (9), 52-68, 2021

https://doi.org/10.3103/S1066369X21090073

Extended High Order Algorithms for Equations under the Same Set of Conditions; IK

Argyros, D Sharma, CI Argyros, SK Parhi, SK Sunanda, MI Argyros

Algorithms 14 (7), 207, 2021:  https://doi.org/10.3390/a14070207

 Extending the convergence domain of deformed Halley method under ω condition in

Banach spaces; D Sharma, SK Parhi, SK Sunanda

Boletin de la Sociedad Matematica Mexicana 27 (2), 1-14, 2021

https://doi.org/10.1007/s40590-021-00318-2

 A Family of Fifth and Sixth Convergence Order Methods for Nonlinear Models; IK

Argyros, D Sharma, CI Argyros, SK Parhi, SK Sunanda, Symmetry 13 (4), 715, 2021

 https://doi.org/10.3390/sym13040715

Local Convergence and Dynamical Analysis of a Third and Fourth Order Class of

Equation Solvers; D Sharma, IK Argyros, SK Parhi, SK Sunanda, Fractal and Fractional 5 (2), 27, 2021  https://doi.org/10.3390/fractalfract5020027 

On the convergence, dynamics and applications of a new class of nonlinear system

solvers; IK Argyros, D Sharma, SK Parhi, SK Sunanda, 

International Journal of Applied and Computational Mathematics 6 (5), 1-22, 2020

https://doi.org/10.1007/s40819-020-00893-4

Some New Inequalities similar to Hardy-Hilbert's Inequality

S. K. Sunanda, C. Nahak, S. Nanda,    Mathematical Inequalities and Applications

 Volume 13, Number 3 (2010), 601–611, dx.doi.org/10.7153/mia-13-41

 A New Generalization of Hardy-Hilbert’s Inequality

 S. K. Sunanda, C. Nahak, S. Nanda,  Journal of Indian Mathematical Society  

 Vol. 77, Nos. 1-4, (2010), 195-206.

Some New Generalizations of Hardy's Integral Inequality 

S. K. Sunanda, C. Nahak, S. Nanda, 

International Journal of Mathematics and Mathematical Sciences , 

Volume 2006, Article ID 19013, 1-15; DOI 10.1155/IJMMS/2006/19013

TEACHING ENGAGEMENTS(2022-23) 

Probability & Stochastic Process                                                                                                                 Autumn

Discrete Mathematics                                                                                                                                  Spring

STUDENTS

PhD Super Visions

Scholar: Debasis Sharma

Thesis:  Local Convergence and Dynamics of Higher  Order Iterative Schemes In Banach Spaces

Other Supervisor:  Prof. S. K. Parhi 

Degree Awarded: 2021

Scholar: Bijan Kmar Patel

Thesis: Some Generalizations and Modular Properties of the Balancing Sequence

Other Supervisor: Prof. P. K. Ray

Degree Awarded: 2018