#### Dr Soniya Dhama

##### Assistant Professor

###### Mathematical Sciences

- Phone
**:**+91 535 2704 673 - Email
**:**soniyad@rgipt.ac.in

- About
- Education and Experience
- Research Interest and Projects
- Research Group
- Teaching Assignment
- Academic Leadership
- Administrative Responsibilities
- Accolades
- Publications and Patents

Dr Soniya Dhama is an Assistant Professor at the Rajiv Gandhi Institute of Petroleum Technology in India, where she has been teaching since November 2021. She received her Ph D in Dynamical System from the Indian Institute of Technology Mandi in 2020, after obtaining her M Sc from the Indian Institute of Technology Delhi and B Sc from Choudhary Charan Singh University Meerut. Her research interests are in the areas of Dynamical System, Time Scale Calculus, and Dynamics of Periodic and Generalized Functions. Dr Dhama has published several research papers in various reputed journals and is supervising two Ph D and two B Tech students. She is an active committee member in various administrative roles in her department and institute.

Education

Ph D | 2020 | Indian Institute of Technology Mandi, Himachal Pradesh |

M Sc | 2015 | Indian Institute of Technology Delhi, New Delhi |

B Sc | 2013 | Chaudhary Charan Singh University, Meerut |

Experience

2021 – Till Date | Assistant Professor | Rajiv Gandhi Institute of Petroleum Technology, Jais, Amethi |

2019 – 2021 | Assistant Professor | CSA Govt PG Lead College, Sehore |

2016 – 2017 | Assistant Professor | UIET Kurukshetra University, Kurukshetra |

Undergraduate

- Real Analysis and Calculus(2021-2022 odd sem)
- Computer Programming(2021-2022 even sem)
- Linear Algebra and Complex Analysis(2022-2023 odd sem)
- Real Analysis and Calculus(2022-2023 odd sem)
- Differential Equation (2022-2023 even sem)

Postgraduate

- Partial Differential Equation(2021-2022 even sem)
- Theory of Integro Differential Equation(2022-2023 odd sem)
- Nonlinear Dynamical System (2022-2023 even sem)

Research Interests

- Dynamical System
- Time Scale Calculus
- Dynamics of Periodic and generalize functions
- Qualitative dynamics of mathematical biological models on time scales
- Study of some properties of stochastic differential equations

Research Projects

Invited Talks

- “Time Scales Calculus (Theory)” Centre for Data Science, ITER Siksha ‘O’ Anusandhan (Deemed to be University), Bhubaneswar 29 Oct 2022

Journal Publications

Agrawal D., Dhama S., Kostic M., Abbas, S., Periodicity, stability, and synchronization of solutions of hybrid coupled dynamic equations with multiple delays. Mathematical Methods in the Applied Sciences, Vol. 47, pp. 7616-7636, 2024

Dhama S., Castillo S., Abbas S., Pinto M., Existence and Roughness of Nonuniform Exponential Dichotomies on Time Scales. Qualitative Theory of Dynamical Systems, Vol. 23, pp. 1-36, 2024

Dhama S., A reliable scheme for nonlinear delay differential equations of pantograph-type. Journal of Computational Science, Vol. 75, pp. 102206, 2024

Tomar S., Dhama S., An Effective Technique for Solving a Model Describing Biological Species Living Together. Computational Methods for Biological Models, pp. 25-52, 2023

Dhama S., Abbas S., Pinto M., Castillo S., Tomar S., Weighted pseudo almost automorphic solution for abstract dynamic equations under translation and non-translation time scales with shift operators and

unbounded graininess. Advance Operator Theory, Vol. 8, pp. 66, 2023

Tomar S., Dhama S., Ramos H. and Singh M., An efficient technique based on Green’s function for solving two-point boundary value problems and its convergence analysis. Mathematics and Computers in Simulation, Vol. 210, pp. 408-423, 2023.

Bharti P. and Dhama S., Stellar Model for Charged and Isotropic Rotating Neutron Stars in f (R, T) Gravity. Iranian Journal of Science, pp. 1-15, 2023.

Dhama S. and Abbas S., Permanence, existence, and stability of almost automorphic solution of a non-autonomous Leslie-Gower prey-predator model with control feedback terms on time scales. Mathematical Methods in the Applied Sciences, Vol. 44, pp. 11783-11796, 2021.

Abbas S., Dhama S., Pinto M. and Sepúlveda D., Pseudo compact almost automorphic solutions for a family of delayed population model of Nicholson type. Journal of Mathematical Analysis and Applications, Vol. 495, pp. 124722, 2021.

Dhama S., Abbas S. and Sakthivel R., Stability and Approximation of Almost Automorphic solution on Time Scales for Stochastic Nicholson's Blowflies Model. Journal of Integral Equations and Applications, Vol. 33, pp. 31-51, 2021.

Dhama S., Abbas S. and Debbouche A., Doubly-weighted pseudo almost automorphic solutions for stochastic dynamic equations with Stepanov-like coefficients on time scales. Chaos, Solitons & Fractals Vol. 137, pp. 109899, 2020.

Abbas S. and Dhama S., Maximal and minimal solutions of a class of discontinuous generalized dynamical equations with delay on time scale. Journal of Fixed Point Theory and Applications, Vol. 22, pp. 1-13, 2020.

Dhama S. and Abbas S., Square-Mean Almost Automorphic Solution of Stochastic Cellular Neural Network on Time Scales. Journal of Integral Equations and Applications, Vol. 32, pp. 151-170, 2020.

Dhama S. and Abbas S., Existence and Stability of Weighted Pseudo Almost Automorphic Solution of Dynamic Equation on Time Scales with Weighted Stepanov-Like ($S^p$) Pseudo Almost Automorphic Coefficients. Qualitative Theory of Dynamical Systems, Vol. 19, pp. 1-22, 2020.

Dhama S. and Abbas S., Existence and Stability of Square-Mean Almost Automorphic Solution for Neutral Stochastic Evolution Equations with Stepanov-Like Terms on Time Scales. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM, Vol. 113, pp. 1231-1250, 2019.

Dhama S. and Abbas S., Square-Mean Almost Automorphic Solution for Stochastic Evolution Equations with Impulses on Time Scales. Differential Equation and Application, 10, no. 4, 449-469, 2018.

Conference Publications

Dhama S. and Abbas S., Asymptotically almost automorphic solution for neutral functional integro evolution equations on time scales. Mathematical Modelling, Applied Analysis and Computation. ICMMAAC 2018. Springer Proceedings in Mathematic & Statistics, vol 272. Springer, Singapore 2019.

Dhama S., and Abbas S., Weighted pseudo almost automorphic solution for abstract neutral functional integro dynamic system on time scales. Proceedings of the International Scientific Conference, 2018.

Tomar S., Dhama S., Vajravelu K., An Effective Scheme for Solving a Class of Second-Order Two-Point Boundary Value Problems. Mathematics and Computing: ICMC 2022.

- Department Physical Verification of Fixed Assets Committee Convener
- Exam Committee Member
- Lab In-Charge
- Department Purchase Committee Member
- Purchase Committee for Centre of Computing & Information Services (CCIS)
- DPGC Committee Member
- DUGC Committee Member
- Department Tabulation Committee Member
- Guest Hostel Mess Management Committee Member

- Qualified GATE-2015 in Mathematics.
- Qualified NET-JRF-2015 in Mathematics.
- Qualified NET-JRF-2016 in Mathematics.
- Junior and Senior Research Fellowship (2017-2019)

Reviewer of Journals

- Chaos, Solitons & Fractals (Elsevier)
- Neurocomputing (Elsevier)
- Journal of Inequalities and Applications (Springer)
- Differential Equations and Dynamical Systems (Springer)
- Mathematical Problems in Engineering (Hindawi)
- Qualitative theory of dynamical system (Springer)
- Journal of Experimental & Theoretical Artificial Intelligence (Taylor and Francis)

Ph D

Heeraballabh Khanduri |
2022 | Dynamical systems, Time Scale Theory |

Puja Bharti |
2021 | Dynamical Systems, Time Scale Theory |

B Tech

Shraddha Tiwari B Tech Student |
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Kumar Prabhakar B Tech Student |