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About the Department

Department of Mathematics, Cotton University (Erstwhile Cotton College), Guwahati is as an oldest department. The department along with the college was established on May 27, 1901 with Prof. Indubhusan Brahmachari, an eminent scholar, as Head of the Department. The subject was introduced in the degree classes in 1910. The department continued to be one of the best departments of Mathematics under the University of Calcutta throughout. Since the inception of the Gauhati University in 1948, the Cotton College has been able to maintain its status and frame. Subsequently, PG classes started in 1974. Later, in 2017 the Cotton College and the Cotton College State University merged and founded the Cotton University.

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Head of the Department

Recent Publications

  • Ashish Paul, Tusar Kanti Das, Darcy–Forchheimer MHD radiative flow through a porous space incorporating viscous dissipation, heat source, and chemical reaction effect across an exponentially stretched surface, Heat Transfer, Wiley , vol.52, 807–825, [2023], https://doi.org/10.1002/htj.22717

  • B Gohain, R Chutia, P Dutta, A distance measure for optimistic viewpoint of the information in interval-valued intuitionistic fuzzy sets and its applications, Engineering Applications of Artificial Intelligence , vol.119, 105747, [2023], 10.1016/j.engappai.2022.105747

  • Anupam Das, Marija Paunović, Vahid Parvaneh, Mohammad Mursaleen, Zohreh Bagheri, Existence of a solution to an infinite system of weighted fractional integral equations of a function with respect to another function via a measure of noncompactness, Demonstratio Mathematica , vol.55, 1-11, [2023], https://doi.org/10.1515/dema-2022-0192

  • Bikash Barman, Kukil Kalpa Rajkhowa, On Non-Comaximal Graphs of Ideals of Commutative Rings, Armenian Journal of Mathematics , vol.15, [2023], https://doi.org/10.52737/18291163-2023.15.2-1-8

  • Kukil Kalpa Rajkhowa, Helen K. Saikia, Pendant and Isolated Vertices of Comaximal Graphs of Modules, Bol. Soc. Paran. Mat. , vol.41, [2023], http://dx.doi.org/10.5269/bspm.51488

  • Anupam Das, Reena Jain, Hemant Kumar Nashine, A fixed point result via new condensing operator and its application to a system of generalized proportional fractional integral equations, J. Pseudo-Differ. Oper. Appl. , vol.14, [2023], https://doi.org/10.1007/s11868-023-00519-5

  • M K Gogoi, R Chutia, Fuzzy risk analysis based on a similarity measure of fuzzy numbers and its application in crop selection, Engineering Applications of Artificial Intelligence , vol.107, 104517, [2022], 10.1016/j.engappai.2021.104517

  • B Gohain, R Chutia, P Dutta, S Gogoi, Two new similarity measures for intuitionistic fuzzy sets and its various applications, International Journal of Intelligent Systems , [2022], 10.1002/int.22802

  • M. Adabitabar Firozja, F. Rezai Balf, B. Agheli, R. Chutia, Ranking of generalized fuzzy numbers based on accuracy of comparison, Iranian Journal of Fuzzy Systems , vol.19, 49-61, [2022], 10.22111/IJFS.2022.6787

  • Ashish Paul, Magnetohydrodynamic unsteady natural convective flow in a porous medium over a moving infinite cylinder, Heat Transfer , vol.51, 6548–6562, [2022], https://doi.org/10.1002/htj.22612

  • Ashish Paul, Tusar Kanti Das, Jintu Mani Nath, Numerical investigation on the thermal transportation of MHD Cu/Al2 O3-H2O Casson-hybrid-nanofluid flow across an exponentially stretching cylinder incorporating heat source., Physica Scripta , vol.97, 085701, [2022], https://doi.org/10.1088/1402-4896/ac7981

  • B Gohain, R Chutia, P Dutta, Discrete similarity measures on Pythagorean fuzzy sets and its applications to medical diagnosis and clustering problems, International Journal of Intelligent Systems , [2022], https://doi.org/10.1002/int.23057

  • Ashish Paul, Radiation effect on Transient Natural Convective MHD Flow over a fixed Cylinder in a permeable medium with Heat and Mass Transport, International Journal of Ambient Energy , 1-9, [2022], https://doi.org/10.1080/01430750.2022.2128873

  • Anupam Das, Bipan Hazarika, K. Sadarangani, Existence of Solution of Infinite Systems of Singular Integral Equations of Two Variables in C(I×I,l_p ) with I = [0, T], T > 0 and 1 , Filomat , vol.36, 3013–3023, [2022], https://doi.org/10.2298/FIL2209013D

  • R Chutia, A novel defuzzification approach of ranking parametric fuzzy numbers based on the value and ambiguity calculated at decision levels, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems , vol.30, 847-878, [2022], 10.1142/S0218488522500258

  • Anupam Das, Bipan Hazarika, Nihar Kumar Mahato, Vahid Parvaneh, Application of measure of noncompactness on integral equations involving generalized proportional fractional and Caputo-Fabrizio fractionan integrals, Filomat , vol.36, [2022]

  • Mohsen Rabbani, Anupam Das, Bipan Hazarika, Reza Arab, Meir-Keeler Condensing Operator to Prove Existence of Solution for Infinite Systems of Differential Equations in the Banach Space and Numerical Method to Find the Solution, Filomat , vol.36, [2022]

  • . Anupam Das, Bipan Hazarika, Bhuban Chandra Deuri, Existence of an infinite system of fractional hybrid differential equations in a tempered sequence space, Fractional Calculus and Applied Analysis , vol.25, [2022], , https://doi.org/10.1007/s13540-022-00084-6.

  • Anupam Das, Bhuban Chandra Deuri, Solution of Hammerstein type integral equation with two variables via a new fixed point theorem, The Journal of Analysis , [2022], https://doi.org/10.1007/s41478-022-00537-4

  • Anupam Das, Mohsen Rabbani, Bipan Hazarika, S. A. Mohiuddine, Solvability of infinite system of general order differential equations via generalized Meir-Keeler condensing operator and semi-analytic method, Int. J. Nonlinear Anal. Appl. , [2022], http://dx.doi.org/10.22075/ijnaa.2022.26862.3431

  • Anupam Das, Mohsen Rabbani, S.A. Mohiuddine, Bhuban Chandra Deuri, Iterative algorithm and theoretical treatment of existence of solution for (k, z)-Riemann–Liouville fractional integral equations,, J. Pseudo-Differ. Oper. Appl. , vol.13, [2022]

  • Anupam Das, Mohsen Rabbani, Bipan Hazarika, Sumati Kumari Panda, A fixed point theorem using condensing operators and its applications to Erdélyi–Kober bivariate fractional integral equations, Turkish Journal of Mathematics , vol.46, [2022]

  • Bhuban Chandra Deuri, Marija V. Paunovi´c, Anupam Das, Vahid Parvaneh, Solution of a Fractional Integral Equation Using the Darbo Fixed Point Theorem, Journal of Mathematics , vol.2022, [2022]

  • S.A. Mohiuddine, Anupam Das , Abdullah Alotaibi, Existence of Solutions for Nonlinear Integral Equations in Tempered Sequence Spaces via Generalized Darbo-Type Theorem, Journal of Function Spaces , vol.2022, [2022]

  • Bhuban Chandra Deuri, , Anupam Das, Solvability of fractional integral equations via Darbo’s fixed point theorem, J. Pseudo-Differ. Oper. Appl. , vol.13, [2022]

  • Hemant Kumar Nashine, Anupam Das, Extension of Darbo’s fixed point theorem via shifting distance functions and its application, Nonlinear Analysis: Modelling and Control , vol.27, [2022]

  • Anupam Das, V. Parvaneh B. Chandra Deuri, Z. Bagherid, Application of a generalization of Darbo’s fixed point theorem via Mizogochi-Takahashi mappings on mixed fractional integral equations involving (k, s)-Riemann-Liouville and Erd´elyi-Kober fractional integrals, Int. J. Nonlinear Anal. Appl. , vol.13, [2022]

  • Bikash Barman, Kukil Kalpa Rajkhowa, Nonessential sum graph of an Artinian ring, Arab Journal of Mathematical Sciences , vol.28, [2022], https://www.emerald.com/insight/content/doi/10.110

  • Rituparna Chutia, Ranking of Z-numbers based on value and ambiguity at levels of decision making, International Journal of Intelligent Systems , [2021]

  • Kukil Kalpa Rajkhowa, Helen K. Saikia, Prime intersection graph of ideals of a ring, Proceedings-Mathematical Sciences , [2021]

  • MK Gogoi, R Chutia, Similarity measure of the interval-valued fuzzy numbers and its application in risk analysis in paddy cultivation, Journal of Ambient Intelligence and Humanized Computing , [2021]

  • R Chutia, Ranking interval type-2 fuzzy number based on a novel value-ambiguity ranking index and its application in risk analysis, Soft Computing , [2021]

  • R Chutia, F Smarandache, Ranking of single-valued neutrosophic numbers through the index of optimism and its reasonable properties, Artificial Intelligence Review , [2021]

  • Mohsen Rabbani, Anupam Das, Bipan Hazarika, Reza Arab, Measure of noncompactness of a new space of temperd sequences and its application on fractional differential equations, Chaos, Solitons and Fractals , [2021]

  • Anupam Das, Bipan Hazarika, Vahid Parvaneh, M. Mursaleen, Solvability of generalized fractional order integral equations via measures of noncompactness, Mathematical Sciences , [2021]

  • Bipan Hazarika, Mohsen Rabbani, Ravi P. Agarwal, Anupam Das, Reza Arab, Existence of Solution for Infinite System of Nonlinear Singular Integral Equations and Semi-Analytic Method to Solve it, Iranian Journal of Science and Technology, Transactions A: Science , [2021]

  • M. Adabitabar Firozjaa, F. Rezai Balf , B. Agheli and R. Chutia, Ranking of generalized fuzzy numbers based on accuracy of comparison, Iranian Journal of Fuzzy Systems , [2021]

  • R Chutia, Ordering intuitionistic fuzzy numbers by a convex combination of values and multiple of ambiguity inclusion functions with ambiguities of membership and non-membership functions, International Journal of Intelligent Systems , [2021]

  • Rituparna Chutia, Sunayana Saikia, Mridul Krishna Gogoi, A theoritical approach to ranking of parametric fuzzy numbers using value and left-right ambiguity, Mathematical Sciences , [2021]

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Scholarly Resources

  • Publications 39
  • Conference/In Proceedings
  • Book/Book Chapter