Department of Mathematics – Research Publications from 2015 to till date

• A. Ponmana Selvan, G. Ganapathy, M. Saravanan and R. Veerasivaji. 2023. Laplace transform and Hyers-Ulam stability of differential equation for logistic growth in a population model. Communications of the Korean Mathematical Society, 38(4): 1163-1173. DOI: https://doi.org/10.4134/CKMS.c230034
• R. Sriraman, P. Balaji and R. Veerasivaji. 2023. System Decomposition Method-Based Exponential Stability of Clifford-Valued BAM Delayed Neural Networks. IEEE Access.11, 77324-77335.. DOI: 10.1109/ACCESS.2023.3295420.
• S. Rajeev Gandhi, K. Prabhavathi, R. VeeraSivaji, R. Senthil Kumar and S. Tharmar. 2023. Efficient Domination In Fuzzy Graphs and Intuitionistic Fuzzy Graphs in Strong and weak forms. E3S Web of Conferences 399, International Conference on Newer Engineering Concepts and Technology (ICONNECT- 2023), Article Number 04026. DOI: https://doi.org/10.1051/e3sconf/202339904026
• S. Tharmar, R. Veerasivaji and R. Senthil kumar. 2023. Theorytical Approach on Application of Generalized Closed Sets Environmental Lifestyle Using r-Neighbourhood Idealspaces. E3S Web of Conferences 387, International Conference on Smart Engineering for Renewable Energy Technologies (ICSERET-2023), Article Number 04015. DOI: https://doi.org/10.1051/e3sconf/202338704015
• A. Ponmana Selvan, R. Veerasivaji, V. Kamalakannan and M. Saravanan. 2022. Mittag-Leffler-Hyers-Ulam Stability of a linear differential equations of second order using Laplace transform.Journal of Mathematical and Computational Science. 12, Article ID 74. DOI: https://doi.org/10.28919/jmcs/7090
• Gunaseelan Mani, Lakshmi Narayanan Mishra and Vishnu Narayanan Mishra, 2022. Common fixed point theorems in complex partial b-metric space with an application to integral equations. Advanced Studies: Euro-Tbilisi Mathematical Journal, 15(1): 129-149. DOI: https://doi.org/10.3251/asetmj/19322008209
• Gunaseelan Mani, A. Leema Maria Prakasam, Lakshmi Narayan Mishra and Vishnu Narayan Mishra, 2021. Application and fixed point theorems for orthogonal generalized F-contraction mappings on O- complete metric space. Nonlinear Functional Analysis and Applications, 26(5): 903-915. DOI: https://doi.org/10.22771/nfaa.2021.26.05.03
• M. Gunaseelan, M. S. Khan,Y. Mahendra Singh and Kenan Tas, 2022. Coupled fixed points in complex partial metric spaces. Journal of Mathematics and Computer Science, 25(1): 91-102. DOI: http://dx.doi.org/10.22436/jmcs.025.01.08
• Arul Joseph Gnanaprakasam, Gunaseelan Mani, Jung Rye Lee and Choonkil Park, 2022. Solving a nonlinear integral equation via orthogonal metric space. AIMS Mathematics, 7(1): 1198-1210. DOI: http://dx.doi.org/10.3934/math.2022070
• Zhaohui Gu, Gunaseelan Mani, Arul Joseph Gnanaprakasam and Yongjin Li, 2021. Solving a system of nonlinear integral equations via common fixed point theorems on bicomplex partial metric space, Mathematics, 9(14): 1584. DOI: https://doi.org/10.3390/math9141584
• Ismat Beg, Gunaseelan Mani and Arul Joseph Gnanaprakasam, 2021. Best proximity point of generalized F-proximal non-self contractions. Journal of Fixed Point Theory and Applications, 23:49. DOI: https://doi.org/10.1007/s11784-021-00886-w
• Ismat Beg, Gunaseelan Mani and Arul Joseph Gnanaprakasam, 2021, Fixed point of orthogonal F-suzuki contraction mapping on O-complete b-metric spaces with applications. Journal of Function Spaces, 2021: Article ID 6692112. DOI: https://doi.org/10.1155/2021/6692112
• Gunaseelan Mani, Arul Joseph Gnanaprakasam, Yongjin Li and Zhaohui Gu, 2021. The existence and uniquenes solution of nonlinear integral equations via common fixed point theorems. Mathematics, 9(11): 1179. DOI: https://doi.org/10.3390/math9111179
• Gunaseelan Mani, Arul Joseph Gnanaprakasam, Ramakrishnan Kalaichelvan and Yae Ulrich Gaba, 2021. Results on complex partial b-metric space with an application. Mathematical Problems in Engineering, 2021: Article ID 5565470. DOI: https://doi.org/10.1155/2021/5565470
• Gunaseelan Mani, Arul Joseph Gnanaprakasam, Nasreen Kausar, Mohammad Munir and Salahuddin, 2021. Orthogonal F-contraction mapping on O-complete metric space with applications. International Journal of Fuzzy Logic and Intelligent Systems, 21(3): 243-250. DOI: https://doi.org/10.5391/IJFIS.2021.21.3.243
• Gunaseelan Mani, Arul Joseph Gnanaprakasam, Lakshmi Narayan Mishra and Vishnu Narayan Mishra, 2021. Fixed point theorems for orthogonal F-Suzuki contraction mappings on O-complete metric space with an application. Malaya Journal of Matematik, 9(1): 369-377. DOI: https://doi.org/10.26637/MJM0901/0062
• Gunaseelan Mani, Arul Joseph Gnanaprakasam, Jung Rye Lee and Choonkil Park, 2021. Solution of integral equations via coupled fixed point theorems in 𝔉-complete metric spaces. Open Mathematics, 19: 1223-1230. DOI: https://doi.org/10.1515/math-2021-0075
• Gunaseelan Mani, Arul Joseph Gnanaprakasam, Choonkil Park and Sungsik Yun, 2021. Orthogonal F-contractions on O-complete b-metric space. AIMS Mathematics, 6(8): 8315-8330. DOI: https://doi.org/10.3934/math.2021481
• Arul Joseph Gnanaprakasam, Salah Mahmoud Boulaaras, Gunaseelan Mani, Mohamed Abdalla and Asma Alharbi, 2021. Solving integral equations by common fixed point theorems on complex partial b-metric spaces. Journal of Function Spaces (special issue), 2021: Article ID 3856468. DOI: https://doi.org/10.1155/2021/3856468
• Gunaseelan Mani, Lakshmi Narayan Mishra, Vishnu Narayan Mishra, Imran Abbas Baloch and Manuel De La Sen, 2020. Application to coupled fixed-point theorems on complex partial b-metric space. Journal of Mathematics, 2020: Article ID 8881859. DOI: https://doi.org/10.1155/2020/8881859
• Leema Maria Prakasam and M. Gunaseelan, 2020. Common fixed point theorems using CLR and E.A. properties in complex partial b – metric space. Advances in Mathematics: Scientific Journal, 9(5): 2773–2790. DOI: https://doi.org/10.37418/amsj.9.5.39