Research

Publications:

1. S. Ruhil and M. Malik, "Inverse problem for the Atangana–Baleanu fractional differential equation," Journal of Inverse and Ill-posed Problems, vol. 31, no. 5, 2023, pp. 763-779. https://doi.org/10.1515/jiip-2022-0025 

2. M. Malik and S. Ruhil,  "Inverse problem for an abstract neutral differential equation of Sobolev type," Results in Control and Optimization, 11 (2023): 100235.  https://doi.org/10.1016/j.rico.2023.100235 

3. M. Malik, S. Ruhil and R. Dhayal. "An Investigation of an Inverse Problem for Second-Order Abstract Differential Equation," Indian Journal of Pure and Applied Mathematics, 2023, 56(24): 512-525. https://doi.org/10.1007/s13226-023-00498-9 

4. S. Ruhil and M. Malik, "Inverse Problem for  Abstract Delay Differential Equation with Impulsive Effects," Evolution Equations and Control Theory, 2024, 13(3): 751-766. https://doi.org/10.3934/eect.2024004

5. S. Ruhil and M. Malik, "Approximation Results for Abstract Inverse Problem in Impulsive Differential Equation," Discrete & Continuous Dynamical Systems - Series S, 2024. 10.3934/dcdss.2024161 

6. S. Ruhil and M. Malik, "Parameter Identification Problem for the Abstract State-Dependent Delay Differential Equation," Mathematical Methods in the Applied Sciences, 2025. 10.1002/mma.10811 

7. S. Ruhil, M. Malik, K. S. Nisar, F. Al Shammarri, "Approximation of Inverse Problems for Fractional Differential Equations in Abstract Spaces," Alexandria Engineering Journal, 2025, 121(24): 529-538. https://doi.org/10.1016/j.aej.2025.02.079 

8. S. Ruhil and M. Malik, "Inverse Problem for an Abstract Differential Equation with Non-Instantaneous Impulses," The Rocky Mountain Journal of Mathematics, 2025, 55(2): 517-531. http://dx.doi.org/10.1216/rmj.2025.55.517

9.  S. Ruhil and M. Malik, "Parameter Identification Problem for Semilinear Abstract Degenerate Delay Differential Equation," Qualitative Theory of Dynamical Systems, 2025, 24(177). https://doi.org/10.1007/s12346-025-01334-7

10.  S. Ruhil and M. Malik, "Results on Inverse Problem for Abstract Semilinear Differential Inclusions,'' Journal of Inverse and Ill-posed Problems, 2025. https://doi.org/10.1515/jiip-2024-0045

Projects:

• September 2021-August 2022, "Inverse problems for abstract differential equations and applications in fluid dynamics," (Indian Institute of Technology Mandi, Himachal Pradesh, India). (Project Investigator: Prof. Muslim Malik).

• June 2019-July 2020,  "The study of Dilation Theory," (Indian Institute of Technology Mandi, Himachal Pradesh, India). (Project Investigator: Dr. Kalpesh Haria).