Dr. Anupam Das
Associate Professor
Ph.D. : Rajiv Gandhi University, Arunachal PradeshResearch Interests:
Fixed point theory, Best proximity point theory, fractional integral and differential equationsJoined the University in Jun 3, 2023
Phone: +919435710311
Email: anupam.das@cottonuniversity.ac.in
About
Career Profile/Services:
- Associate Professor, Cotton University, (03/06/2023-present).
- Assistant Professor, Cotton University.,(30/05/2020- 02/06/2023).
- Assistant Professor, Rajiv Gandhi University, Arunachal Pradesh,(25/06/2012-29/05/2020).
Research paper publications
2024
1. Anupam Das, Mohsen Rabbani, Bipan Hazarika, An iterative algorithm to approximate the solution of a weighted fractional integral equation, Asian-European Journal of Mathematics , vol. 17, 01, 2024 https://doi.org/10.1142/S1793557123502418
2. Simasri Deka, Anupam Das, Bhuban Chandra Deuri, Existence of solutions of infinite system of hybrid fractional integro-differential equation, São Paulo Journal of Mathematical Sciences, 2024 https://doi.org/10.1007/s40863-024-00409-8
2023
1. 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, 2391-4661, 2023 https://doi.org/10.1515/dema-2022-0192
2. 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, 21, 1662-999X, 2023 https://doi.org/10.1007/s11868-023-00519-5
3. Bhuban Chandra Deuri, Anupam Das , The existence of a solution to more general proportional forms of fractional integrals via a measure of noncompactness, Int. J. Nonlinear Anal. , 1-9, 2023 http://dx.doi.org/10.22075/ijnaa.2023.25659.3083
4. Anupam Das, Bipan Hazarika, Mohammad Mursaleen, Hemant Kumar Nashine, Vahid Parvaneh, Solvability of (P,Q)-functional integral equations of fractional order using generalized Darbo’s fixed point theorem, Filomat, vol. 37, 7849–7865, 23, 2023
5. Reza Arab, Bipan Hazarika2, Mohammad Imdad, Anupam Das, Common Fixed Point Theorem of Family of Contraction Maps and Its Applications in Integral Equations, Thai Journal of Mathematics, vol. 21, 253-263, 2, 1686-0209, 2023
6. Sudip Deb, Hossein Jafari, Anupam Das , Vahid Parvaneh, New fixed point theorems via measure of noncompactness and its application on fractional integral equation involving an operator with iterative relations, Journal of Inequalities and Applications, 2023 https://doi.org/10.1186/s13660-023-03003-2
7. S. A. Mohiuddin,∗ , Anupam Das , Abdullah Alotaibi, Existence of solutions for infinite system of nonlinear q-fractional boundary value problem in Banach spaces, Filomat, vol. 37, 30, 2406-0933, 2023 https://doi.org/10.2298/FIL2330171M
8. Anupam Das, Sudip Deb, Rupanjali Goswami, Tazuddin Ahmed, Zeynab Izadi, Vahid Parvaneh, A generalized Darbo’s fixed point theorem and its applications to different types of hybrid differential equations, Boundary Value Problems , 1687-2770, 2023 https://doi.org/10.1186/s13661-023-01800-8
9. Sudip Deb, Anupam Das, Modified version of fixed point theorems and their applications on a fractional hybrid differential equation in the space of continuous tempered functions, J. Pseudo-Differ. Oper. Appl. , 2023 https://doi.org/10.1007/s11868-023-00570-2
2022
1. 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, 9, 2022 https://doi.org/10.2298/FIL2209013D
2. 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, 17, 2406-0933, 2022
3. 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, 10, 2406-0933, 2022
4. . 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, 5, 1314-2224, 2022 , https://doi.org/10.1007/s13540-022-00084-6.
5. 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
6. 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
7. 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, 39, 1662- 999X, 2022
8. 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, 1300-0098, 2022
9. 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, 2314-4785, 2022
10. 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, 2314-8888, 2022
11. Bhuban Chandra Deuri, , Anupam Das, Solvability of fractional integral equations via Darbo’s fixed point theorem, J. Pseudo-Differ. Oper. Appl., vol. 13, 26, 1662- 999X , 2022
12. 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, 2335-8963, 2022
13. 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, 1, 2022
Research paper publications till 2021
1. Anupam Das and Bipan Hazarika, Matrix Transformation of Fibonacci Band Matrix on Generalized 𝑏𝑣-space and its duals, Bol. Soc. Paran. Mat., v. 36 3 (2018): 41-52, doi:10.5269/bspm.v36i3.32010.
2. Anupam Das and Bipan Hazarika, Some properties of Generalized Fibonacci difference bounded and 𝑝-absolutely convergent sequences, Bol. Soc. Paran. Mat., v. 36 1 (2018):37–50, doi:10.5269/bspm.v36i1.30960.
3. Anupam Das and Bipan Hazarika, Some new Fibonacci difference spaces of non-absolute type and compact operators, Linear and Multilinear Algebra, 2017, VOL. 65, NO. 12, 2551–2573. (Impact Factor: 1.736).
4. A. Das, B. Hazarika, R. Arab and M. Mursaleen, Solvability of the infinite system of integral equations in two variables in the sequence spaces
5. A. Das, B. Hazarika and M. Mursaleen, Application of measure of noncompactness for solvability of the infinite system of integral equations in two variables in
6. H. M. Srivastava, Anupam Das, Bipan Hazarika, S.A. Mohiuddine, Existence of solutions of infinite systems of differential equations of general order with boundary conditions in the spaces
7. Anupam Das, Bipan Hazarika, Reza Arab, M. Mursaleen, Applications of a fixed point theorem to the existence of solutions to the nonlinear functional integral equations in two variables, Rendiconti del Circolo Matematico di Palermo Series 2, doi.org/10.1007/s12215-018-0347-9.
8. Taja Yaying, Anupam Das, Bipan Hazarika, P. Baliarsingh, Compactness of binomial difference operator of fractional order and sequence spaces, Rendiconti del Circolo Matematico di Palermo Series 2, doi.org/10.1007/s12215-018-0372-8.
9. Anupam Das, Bipan Hazarika, Emrah Evren Kara and Feyzi Basar,On Composition Operators of Fibonacci Matrix and Applications of Hausdorff Measure of Noncompactness, Bol. Soc. Paran. Mat., doi:10.5269/bspm.39960.
10. Anupam Das, Bipan Hazarika and Poom Kumam, Some New Generalization of Darbo’s Fixed Point Theorem and Its Application on Integral Equations, Mathematics 2019, 7, 214; doi:10.3390/math7030214. ( Impact Factor: 2.592)
11. H. M. Srivastava , Anupam Das Bipan Hazarika and S. A. Mohiuddine, Existence of Solution for Non-Linear Functional Integral Equations of Two Variables in Banach Algebra,
Symmetry 2019, 11, 674; doi:10.3390/sym11050674.( Impact Factor: 2.940)
12. Anupam Das, Mohsen Rabbani, Bipan Hazarika, Reza Arab, Solvability of infinite systems of nonlinear singular integral equations in the C(I×I,c) space and using semi-analytic method to find a closed-form of solution, Int. J. Nonlinear Anal. Appl. (10) No. 1, 63-76.(December,2019)
13. Anupam Das, Bipan Hazarika, Ravi P. Agarwal, Hemant Kumar Nashine, Solvability of Infinite Systems of Fractional Differential Equations in the Spaces of Tempered Sequences, Filomat 33:17 (2019),5519–5530,(Impact Factor: 0.988.
14. Anupam Das, Bipan Hazarika, H. M. Srivastava, Mohsen Rabbani, R. Arab, Solvability of Infinite Systems of Nonlinear Integral Equations in Two Variables by Using Semi-Analytic Method, Filomat 33:16 (2019), 5377–5388,https://doi.org/10.2298/FIL1916377D. (Impact Factor: 0.988)
15. Anupam Das, Bipan Hazarika, M. Mursaleen and Poom Kumam, Existence of solution of infinite systems of inhomogeneous wave equations using Hausdorff measure of noncompactness, Advances in Operator Theory, https://doi.org/10.1007/s43036-019-00028-7.
16. Moshen Rabbani, Anupam Das, Bipan Hazarika, Reza Arab, Measure of noncompactness and iterative algorithm to solve it, Journal of Computational and Applied Mathematics, 370(2020) 112654, DOI: 10.1016/j.cam.2019.112654. (Impact Factor: 2.872)
17. Anupam Das, Bipan Hazarika, John. R. Graef, Ravi P. Agarwal, Global attractivity of solutions of nonlinear functional integral equations in two variables, International Journal of Applied Mathematics, Volume 33 No. 1 2020, 171-185, ISSN: 1311-1728 (printed version); ISSN: 1314-8060 (on-line version), doi: http://dx.doi.org/10.12732/ijam.v33i1.13.
18. Moshen 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, 140(2020)110221, https://doi.org/10.1016/j.chaos.2020.110221. (Impact Factor: 9.922)
19. Anupam Das, Bipan Hazarika, Hemant Kumar Nashine and J.K. Kim, ψ-coupled fixed point theorem via simulation functions in complete partially ordered metric spaces and its applications, Nonlinear Functional Analysis and Applications, Vol. 26, No. 2 (2021), pp. 273-288, ISSN: 1229-1595(print), 2466-0973(online), doi.org/10.22771/nfaa.2021.26.02.03.
20. Anupam Das, Bipan Hazarika , Vahid Parvaneh, M. Mursaleen, Solvability of generalized fractional order integral equations via measures of noncompactness,Mathematical Sciences, 15, 241–251 (2021), https://doi.org/10.1007/s40096-020-00359-0 (Impact Factor: 2.070)
21. 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 ,45, 235–245(2021) (Impact Factor: 1.553)
22. Anupam Das, Bipan Hazarika , Sumati Kumari Panda, V. Vijayakumar, An existence result for an infinite system of implicit fractional integral equations via generalized Darbo’s fixed point theorem, Computational and Applied Mathematics, (2021) 40:143, (Volume 40, Issue 4), doi.org/10.1007/s40314-021-01537-z (Impact Factor: 2.998)
23. Anupam Das, Bipan Hazarika, Nipen Saikia, Nihar Kumar Mahato, Iterative method to find approximate solution of system of integral equations via generalized Meir–Keeler condensing operator, Sao Paulo Journal of Mathematical Sciences, 15, 957-972(2021).
24. Anupam Das, S.A. Mohiuddine, Abdullah Alotaibi, Bhuban Chandra Deuri, Generalization of Darbo-type theorem and application on existence of implicit fractional integral equations in tempered sequence spaces, Alexandria Engineering Journal, 61, 2010–2015, (Impact Factor: 6.626).
25. Anupam Das, Hemant Kumar Nashine, Rabha W. Ibrahima, Manuel De la Sen, Best proximity point results and application to a system of integro-differential equations, Advances in Difference Equations (2021) 2021:414, (Impact Factor: 2.803).
26. Anupam Das, Iyad Suwan, Bhuban Chandra Deuri, Thabet Abdeljawad, On solution of generalized proportional fractional integral via a new fixed point theorem, Advances in Difference Equations (2021) 2021: 427, (Impact Factor: 2.803).
Book publication relating subject/research concerned
Chapters/Articles publications in Books (Research Oriented)
- Application of Measure of Noncompactness to the Infinite Systems of Second-Order Differential Equations in Banach Sequence Spacesc_0, l_p and ?c_0?^β, Springer Nature Singapore Pte Ltd. 2018, Editors: S. A. Mohiuddine and T. Acar (eds.), Book Title: Advances in Summability and Approximation Theory, https://doi.org/10.1007/978-981-13-3077-3_3.
- Measure of Noncompactness in Banach Algebra and Its Application on Integral Equations of Two Variables, Springer Singapore, Editors:Yeol Je Cho,Mohamed Jleli,Mohammad Mursaleen,Bessem Samet,Calogero Vetro, Book Title:Advances in Metric Fixed Point Theory and Applications, ISBN: 978-981-33-6647-3, https://doi.org/10.1007/978-981-33-6647-3_13.
- Study of Fixed Point Theorem and Infinite Systems of Integral Equations, Editors:Pradip Debnath, Stojan Radenovi´c, Nabanita Konwar, Book Title:Metric Fixed Point Theory,Applications in Science, Engineering and Behavioural Sciences , ISBN:978-981-16-4896-0 (eBook), https://doi.org/10.1007/978-981-16-4896-0.
- Application of Measure of Noncompactness on Infinite System of Functional Integro-differential Equations with Integral Initial Conditions, Editors: S. A. Mohiuddine, Bipan Hazarika ,Book Title: Sequence Space Theory with Applications, ISBN: 978-1-003-17820-0 (ebk) DOI: 10.1201/9781003178200
- Solution of Volterra Integral Equations in Banach Algebras using Measure of Noncompactness, Editors: S. A. Mohiuddine, Bipan Hazarika ,Book Title: Sequence Space Theory with Applications, ISBN: 978-1-003-17820-0 (ebk) DOI: 10.1201/9781003178200
- Solvability of fractional integral equation via measure of noncompactness and shifting distance functions, Editors:Bipan Hazarika, Santanu Acharjee, H. M. Srivastava, Book Title: Advances in Mathematical Analysis and its Applications, ISBN: 978-1-003-33086-8 (ebk) DOI: 10.1201/9781003330868.
Students
| Sl.No | Name | Research Topic | Roll No |
|---|---|---|---|
| 1 | Simasri Deka | Study of existence of solution of system of integral, differential equations | |
| 2 | Sudip Deb | Fixed point theory and its appliction | |
| 3 | Mallika Sarmah | Best proximal point theory and its application | |
| 4 | Raktima Medhi |
Other Informations
Conferences attended:
- Presented a paper entitled “Classes of bounded variation sequences derived by Fibonacci numbers“ in the National conference on Recent trends of Mathematics and its Applications, RTMA-14, May 26-27, 2014, Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh, Arunachal Pradesh.
- Presented a paper entitled “ A new approach on spaces of generalized Fibonacci difference sequences “in the Second National conference on Recent trends of Mathematics and its Applications, RTMA-15, November 06-07, 2015, Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh, Arunachal Pradesh.
- Presented a paper entitled “Solvability of