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Trilok Mathur

pilani Mathematics

Associate Professor, Department of Mathematics,
BITS Pilani, Pilani Campus

Complex Analysis, Data Envelopment Analysis, Fractional Calculus, Fractional Differential Equations, Geometric Function Theory, Image processing & AI applications, Mathematical modelling, Multi criteria Decision Making Techniques
Department of Mathematics, Birla Institute of Technology & Science, Pilani- 333031, Rajasthan. India.
tmathur@pilani.bits-pilani.ac.in
mathur.trilok76@gmail.com
+919468675801 | +91-9694096460 | +91-1596-255055
+91-1596-255673

Publications

 

Google Scholar Link : Click Here

Publications (In peer reviewed journals): Total 35 

  1. Neelu Pareek, Komal Bansal, Arvind Gupta, Ruchi Mathur, Trilok Mathur and Shivi Agarwal; "LVIM Approach to Analyze the Fractional Order Model for Childhood Diseases", Journal of Health Management, Vol. 26 (4), 2024, (624-631) (Indexed in Scopus(Q3))
  2. 1. Babli Yadav, Trilok Mathur, Shivi Agarwal and Ashish Yadav, "Fractional differential equation with movable boundary conditions", Journal of Interdisciplinary Mathematics, Vol 27(1), 2024 (https://doi.org/10.47974/JIM-1817) (Indexed in Scopus (Q2))
  3. Babli Yadav, Trilok Mathur, Shivi Agarwal1 and  Ashish Yadav, "Deformable derivative in complex domain", The Journal of Analysis, Vol. 32, 2024 (https://doi.org/10.1007/s41478-024-00729-0) (Indexed in Scopus (Q3))
  4. Komal Bansal, Tripti Mathur, Trilok Mathur, Shivi Agarwal, Ratna Dixit Sharma, "Impact of social media on academics: a fractional order mathematical model", International Journal of Modelling and Simulation, 2023. (https://doi.org/10.1080/02286203.2023.2286419) (Indexed in Scopus (Q2))
  5. Komal Bansal, Trilok Mathur, Shivi Agarwal, "Fractional-order crime propagation model with non-linear transmission rate", Chaos, Solitons & Fractals, Vol. 169, 2023 (113321).(https://doi.org/10.1016/j.chaos.2023.113321) (Indexed in SCI and Scopus (Q1), Impact Factor 9.922) 
  6. Ashish Yadav, Trilok Mathur, Shivi Agarwal and Babli Yadav, "Fractional Boundary Value Problem in Complex Domain", Journal of Mathematical Analysis and Applications, Vol. 526(1), 2023 Article ID 127178 (https://doi.org/10.1016/j.jmaa.2023.127178) (Indexed in SCI and Scopus (Q1), Impact Factor 1.417
  7. Sugandha Arora, Harsh Kumar Suman, Trilok Mathur, Hari Mohan Pandey and Kamlesh Tiwari, "Fractional Derivative Based Weighted Skip Connections for Satellite Image Road Segmentation", Neural Networks, Vol. 161, 2023, (142-153) (https://doi.org/10.1016/j.neunet.2023.01.031) (Indexed in SCI and Scopus (Q1), Impact Factor 9.657)
  8. Sugandha Arora, Trilok Mathur and Kamlesh Tiwari, "A fractional-order model to study the dynamics of spread of crime", Journal of Computational and Applied Mathematics, Vol. 426, 2023, Article ID 115102. https://doi.org/10.1016/j.cam.2023.115102 (Indexed in SCIE and Scopus (Q2), Impact Factor 2.99)
  9. Sugandha Arora, N. S. S. Singh, Divyanshu Singh, Rishi Rakesh Shrivastava, Trilok Mathur, Kamlesh Tiwari and Shivi Agarwal; "Air Quality Prediction using Fractional Gradient-based Recurrent Neural Network" Computational Intelligence and Neuroscience Vol. 2022: Article ID 9755422. https://doi.org/10.1155/2022/9755422 (Indexed in SCIE and Scopus (Q1), Impact Factor 3.12)
  10. Swati Goyal, Shivi Agarwal, N. S. S. Singh, Trilok Mathur and Nirbhay Mathur; "Analysis of Hybrid MCDM Methods for the Performance Assessment and Ranking Public Transport Sector: A Case Study" Sustainability Vol. 14(22) 2022: 15110. https://doi.org/10.3390/su142215110 (Indexed in SCI and Scopus (Q1), Impact Factor 3.889)
  11. Deepak Mahla, Shivi Agarwal, Gholamreza Amin and Trilok Mathur; "An Inverse Data Envelopment Analysis Model to Consider Ratio Data and Preferences of Decision-makers" IMA Journal of Management Mathematics, 2022; dpac009, https://doi.org/10.1093/imaman/dpac009 (Indexed in SCI and Scopus (Q2), Impact Factor 2.09)
  12. Komal Bansal, Trilok Mathur, N. S. S. Singh and Shivi Agarwal; "Analysis of Illegal Drug Transmission Model Using Fractional Delay Differential Equations"; AIMS Mathematics Vol. 7(10), 2022, (18173-18193). (Indexed in SCI and Scopus (Q2), Impact Factor 2.74). (doi: 10.3934/math.20221000)
  13. Kocherlakota Satya Pritam, Trilok Mathur, Shivi Agarwal, Sanjoy Paul and Ahmed Mulla; "A Novel Methodology for Perception-based Portfolio Management"; Annals of Operations Research, 2022.  (https://doi.org/10.1007/s10479-022-04530-9). (Indexed in SCI and Scopus (Q1), Impact Factor 4.82)
  14. Swati Goyal, Shivi Agarwal and Trilok Mathur; "An Evaluation of the Productivity Change in Public Transport Sector using DEA-based Model"; Management Science Letters, Vol. 12(2), 2022 (125-136). (Indexed in Scopus (Q2))
  15. Sugandha, Trilok Mathur, Shivi Agarwal, Kamlesh Tiwari and Phalguni Gupta; "Applications of Fractional Calculus in Computer Vision: A Survey"; Neurocomputing, Vol 489(7), 2022 (407-428). (Indexed in SCI and Scopus (Q1), Impact Factor 5.78). (https://authors.elsevier.com/c/1esKG3INukKfLc)
  16. Komal Bansal, P. Satya, Sugandha, Trilok Mathur and Shivi Agarwal; "Dynamics of Crime Transmission  Using Fractional Order Differential Equations";  Fractals, Vol 30(1), 2022. (Indexed in SCI and Scopus (Q2), Impact Factor 4.55). (https://doi.org/10.1142/S0218348X22500128)
  17. Deepak Mahala, Shivi Agarwal and Trilok Mathur; "A Novel Fuzzy Non-radial Data Envelopment Analysis: An Application in Transportation"; RAIRO-Operations Research, Vol. 55(4), 2021 (2189-2202). (Indexed in SCI Expanded and Scopus (Q3), Impact Factor 2.526). (https://doi.org/10.1051/ro/2021097)
  18. P. Satya, Sugandha, Trilok Mathur and Shivi Agarwal; "Underlying Dynamics of Crime Transmission with Memory"; Chaos, Solitons & Fractals, Vol. 146, 2021 (110838). (Indexed in SCI and Scopus (Q1), Impact Factor 9.922). (https://doi.org/10.1016/j.chaos.2021.110838)
  19. Shivi Agarwal and Trilok Mathur; "A Benchmarking Approach with Missing Values Using Data Envelopment Analysis for Non-Symmetrical Fuzzy Data"; Solid State Technology, Vol. 63, No. 6, 2020 (4046-4051). (Indexed in Scopus(Q4)).
  20. Trilok Mathur, Shivi Agarwal, Srikanta Routroy and Akshat Khandelwal; "A DEA Model for Systematic Screening of Sustainable Suppliers with Uncertainty", Solid State Technology, Vol. 63, No. 6, 2020 (4106-4111). (Indexed in Scopus(Q4)).
  21. P. Satya, Trilok Mathur, Shivi Agarwal and H. D. Mathur; "New Fractional PID-Controller to Mitigate Frequency Variations in Power Systems", Mathematics in Engineering, Science and Aerospace, Vol. 11, No. 2, 2020 (333-346). (Indexed in Scopus (Q4)).
  22. P. Satya, Trilok Mathur and Shivi Agarwal; "An Efficient Portfolio Management for Trading Under Uncertain Environment", International Journal of Supply Chain Management, Vol. 8, No. 2, 2019 (277-283). (Indexed in Scopus (Q3)).
  23. Trilok Mathur, Ruchi Mathur and Deepa Sinha; "Applications of Feket-Szegö Inequalities for Generalized Sakaguchi type Functions to Fractional Derivative Operator", MATEMATIKA, Vol.30, No.1, 2014, (89-96). 
  24. Trilok Mathur, Ruchi Mathur and Deepa Sinha; "Characterization and Subordination Properties for λ-Spiral-like Generalized Sakaguchi Type Functions"; Palestine Journal of Mathematics, Vol.3, No.1, 2014 (70-75).(Indexed in Scopus (Q4))
  25. Trilok Mathur, Ruchi Mathur and Deepa Sinha; "Sufficient Conditions for Generalized Sakaguchi Type Functions of Order β"; TWMS, Journal of Applied and Engineering Mathematics; Vol.4, No.1, 2014 (127-131).(Indexed in Scopus (Q4))
  26. Trilok Mathur, Ruchi Mathur and Deepa Sinha; "Some starlike and convexity properties of Sakaguchi Classes for Hypergeometric Functions"; Int. J. Open Prob. Comp. Anal., Vol.4, No.1, March 2012 (14-21). 
  27. Trilok Mathur and Ruchi Mathur; "Some inequalities involving Saigo's Generalised Fractional Integral Operator"; J. Raj. Acad. Phy. Sci., Vol.11, No. 1, March 2012 (63-68). 
  28. Sunita Kumawat and Trilok Mathur; "On Certain p-valently Analytic Functions Involving Hadamard Products using Ruschweyh Derivative"; Int. J. Adv. Engg. App. Vol. 3 June 2010 (298-302).
  29. S.P.Goyal, Trilok Mathur and Ritu Goyal; Bicomplex Gamma and Beta function; J. Raj. Acad. Phy. Sci.,Vol.5, No.1, March 2006 (131-142). 
  30. S.P.Goyal and Trilok Mathur; "On generalized fractional diffusion equations"; South East Asian J. Math. & Math.Sc., Vol.4, No.2, 2006 (53-61).(Indexed in Scopus (Q4))
  31. Trilok Mathur; Coefficient inequalities for generalized meromorfic starlike and convex functions; Journal of Indian Academy of Mathematics,Vol.28, No.1, 2006 (147-156).
  32. Trilok Mathur; On generalized fractional diffusion equation-II; J. Raj. Acad. Phy. Sci, Vol.3, No.3, 2004 (183-190). 
  33. S. P. Goyal and Trilok Mathur; Two-dimensional generalized fractional calculus operators involving Appell’s F2 function on certain spaces; J. Raj. Acad. Phy. Sci., Vol.3, No.1, March 2004 (49-68). 
  34. S. P. Goyal and Trilok Mathur; On general multiple Eulerian integrals and fractional integration; Vijanana Parishad Anusandhan Patrika, Vol.46, No.3, July 2003 (231-246). 
  35. S.P.Goyal and Trilok Mathur;"A theorem relating multidimensional generalized Weyl fractional integral, Laplace and Varma transforms with applications"; Tamsui Oxford Journal of Mathematical Sciences (TOJMS), Vol.19, No.1, May 2003 (41-54). (Indexed in Scopus (Q4))

Publications (Book Chapter): Total 02 

  1. Trilok Mathur, Shivi Agarwal, S. P. Goyal, and K. Satya Pritam: "Analytical Solutions of some Fractional Diffusion Boundary Value Problems"; Fractional Order Systems and Applications in Engineering, Elsevier, November, 2022 (Chapter 3, 37-50).
  2. Swati Goyal, Shivi Agarwal, Trilok Mathur, and Nirbhay Mathur: "Assessing the Radial Efficiency Performance of Bus Transport Sector Using Data Envelopment Analysis"; Handbook of Machine Learning for Computational Optimization, Applications and Case Studies, CRC Press, November, 2021 (71-87).

Publications (In conference proceedings): Total 10

    1. Swati Goyal, Shivi Agarwal and Trilok Mathur; “Ranking of efficient DMUs using super-efficiency inverse DEA model” Soft Computing for Problem Solving, 2023, (615-626) Proceedings of 11th International Conference on Soft Computing for Problem Solving - SocProS 2022, organized by IIT Mandi, India and Technically sponsored by Soft Computing Research Society (SCRS) during May 14 - 15, 2022 (virtual mode). https://doi.org/10.1007/978-981-19-6525-8_47 (Indexed in Scopus (Q4))
    2. Deepak, Shivi Agarwal and Trilok Mathur; “Performance Evaluation by SBM DEA Model under Fuzzy Environments using Expected Credits”, Soft Computing for Problem Solving, 2023, (565-576). Proceedings of 11th International Conference on Soft Computing for Problem Solving - SocProS 2022, organized by IIT Mandi, India and Technically sponsored by Soft Computing Research Society (SCRS) during May 14 - 15, 2022 (virtual mode). https://doi.org/10.1007/978-981-19-6525-8_43. (Indexed in Scopus (Q4))
    3. Komal Bansal, Trilok Mathur and Shivi Agarwal; “LADM Approach to Analyze the Fractional Order Model for Smoking Habits Including Memory” Accepted in proceedings of 2nd International Conference on Applied Mathematics in Science and Engineering, organized by Centre for Data Science, Siksha 'O' Anusandhan (Deemed to be University) Bhubaneswar, India during March 24 - 26, 2022 (virtual mode).
    4. Shivi Agrawal, Trilok Mathur, Swati Goyal, Jyoti Luhaniwal and Deepak Mahla, “Effficiency Analysis of Public Transport Sector with Inadequate Data Points”, published in proceedings of International Conference on Advances in Multi-Disciplinary Sciences and Engineering Research (ICAMSER – 2021) organized by Chitkara University, HP during July 2-3, 2021 (virtual mode).
    5. Nikita Singh, Sugandha, Trilok Mathur, Shivi Agarwal and Kamlesh Tiwari; "Stock Price Prediction using Fractional Gradient-Based Long Short Term Memory"; Journal of Physics: Conference Series, Vol 1969, International Virtual Conference on Intelligent Robotics, Mechatronics and Automation Systems 2021 (IRMAS 2021), 26-27 March 2021, Chennai, India. (Indexed in Scopus (Q4)).
    6. P. Satya, Trilok Mathur and Shivi Agarwal; "Hierarchy of Sectors in BSE SENSEX for Optimal Equity Investments using Fuzzy AHP". In: Choudhury S., Mishra R., Mishra R., Kumar A. (eds) Intelligent Communication, Control and Devices. Advances in Intelligent Systems and Computing, Vol. 989, 2019 (393-404). (Indexed in Scopus (Q3)).
    7. Shivi Agarwal and Trilok Mathur; "DEA model for Exogenously Fixed variables under Fuzzy Environment" In: Choudhury S., Mishra R., Mishra R., Kumar A. (eds) Intelligent Communication, Control and Devices. Advances in Intelligent Systems and Computing, Vol. 989, 2019 (895-901). (Indexed in Scopus (Q3)). 
    8. Trilok Mathur and Ruchi Mathur; "Fekete-Szego Inequalities for Generalized Sakaguchi Type Functions"; Lecture Notes in Engineering and Computer Science Vol. 2197, 2012 (210-213). (Indexed in Scopus (Q3), Impact Factor 0.18, h-index 13) 
    9. Trilok Mathur; How to teach easily?(Mathematics); Proceedings of International Conference on Innovative Thoughts-Education, Management, Arts, Science, Linguistics (Teaching and Learning), University of Malaya, Kuala-Lumpur, MALAYSIA  from August 12, 2011 to August 14, 2011, Vol.I.
    10. Trilok Mathur; Convolution of an integral equation involving multiple integration with a product of confluent hypergeometric function; Proc. of the 4th Int. Conf. SSFA,Vol.4, 2003 (55-58).

Paper Presentation (In International/National conferences): Total 15

    1. Komal Bansal, Trilok Mathur and Shivi Agarwal; “Analyze the Impact of Social Media on Academic Achievement with Memory” presented in International Conference on Fractional Calculus-2022 organized by School of Mathematics, University of Hyderabad during January, 18-19, 2022 (virtual mode).
    2. Swati Goyal, Shivi Agarwal and Trilok Mathur; “Total Factor Productivity by NSM DEA-Based MPI Approach”, in International Conference and 22nd Annual Convention of Vijnana Parishad of India on Advances in Operations Research, Statistics, and Mathematics on December 28-30, 2019 at BITS Pilani, Pilani Campus.
    3. Shivi Agarwal, Srikanta Routroy and Trilok Mathur; “Fuzzy Data Envelopment Analysis Model for Supplier Selection”, International Conference on Measurement of Efficiency and Productivity in Emerging Economies, organized by the Faculty of Economics, South Asian University, New Delhi on December 18-19, 2019. 
    4. Deepak, P. Satya, Trilok Mathur and Shivi Agarwal; “Portfolio Management through Fuzzy Data Envelopment Analysis”, International Conference on Measurement of Efficiency and Productivity in Emerging Economies, organized by the Faculty of Economics, South Asian University, New Delhi on December 18-19, 2019.
    5. P. Satya, Trilok Mathur and Shivi Agarwal; “Fractional order mathematical modeling of crime”, in International Conference on Special Functions & Applications (ICSFA-2019) held at Department of Mathematics, University College of Engineering and Technology (A Constituent College of Bikaner Technical University) Bikaner, during October 21-23, 2019.
    6. P. Satya, Trilok Mathur and Shivi Agarwal; “Fractional bioheat based, soft computing model for healing the tumor”, in International Conference on Special Functions & Applications (ICSFA-2019) held at Department of Mathematics, University College of Engineering and Technology (A Constituent College of Bikaner Technical University) Bikaner, during October 21-23, 2019.
    7. Swati Goyal, Shivi Agarwal and Trilok Mathur; “Measuring the efficiency of depots in Rajasthan using Data Envelopment Analysis”, in International Conference on Business Analytics and Operations Research (ICBAOR) (June 14-16, 2019) at Manipal Academy of Higher Education (MAHE), Manipal, Karnataka.
    8. P. Satya, Trilok Mathur and Shivi Agarwal; “P-index: Fuzzy Fractional Indicator for the Management of Portfolio”, International Conference on Business Analytics and Operations Research (ICBAOR) (June 14-16, 2019) at Manipal Academy of Higher Education (MAHE), Manipal, Karnataka.
    9. P. Satya, Trilok Mathur, Shivi Agarwal and H. D. Mathur; “A new efficient fractional order PID controller to minimize transient response”; International Conference on Special Functions and Applications organized by Society of Special function & their Applications from 02-04, November 2017.
    10. Trilok Mathur, Shivi Agarwal, Srikant Routroy and Akshat Khandelwal; “Study of the Performance of Green Suppliers using Fuzzy Data Envelopment Analysis” Joint Indo-German Conference on Sustainable Engineering 2017, held at BITS Pilani, Pilani Campus INDIA from15-16 September 2017.
    11. Trilok Mathur and Shivi Agarwal; "Caputo-Type Fuzzy Fractional Riccati Differential Equations with Fuzzy Initial Conditions"; 18th International Conference on Mathematical, Computational and Statistical Sciences and Engineering held at Stockholm SWEDEN from 11-12 July, 2016 organized by World Academy of Sciences, Engineering and Technology.
    12. Shivi Agarwal and Trilok Mathur; Fuzzy Total Factor Productivity by Credibility Theory; 18th International Conference on Mathematical, Computational and Statistical Sciences and Engineering held at Stockholm SWEDEN from 11-12 July, 2016 organized by World Academy of Sciences, Engineering and Technology.
    13. Trilok Mathur; On Subordination of Harmonic Univalent Functions associated with Wright's Generalized Hypergeometric Functions; 20th Asian Technology Conference in Mathematics-2015, held at Leshan Normal University, Leshan, CHINA from16-20 December 2015.
    14. Trilok Mathur; Fekete- Szegö Inequality for Certain Subclasses of Analytic and Bi-univalent Functions; International Conference on Mathematics and Engineering Science (ICMES), 20-22 March 2014, held at Chitkara University, Baddi(Himachal Pradesh).
    15. Trilok Mathur; On Some New Inequalities Involving Generalized Fractional Integral Operator; 77th Annual conference of Indian Mathematical Society (IMS), 27-30 December 2011, held at S.R.T.M. University, Nanded(Maharashtra).

Publications (Text Books): Total 03

  1. Real Analysis and Topology, Publisher: Vardhman Mahaveer Open University, Kota, 2011
  2. Sammishra Vishleshan(Complex Analysis), Publisher: Vardhman Mahaveer Open University, Kota, 2010
  3. Beezganita(Algebra), Publisher: Vardhman Mahaveer Open University, Kota, 2010

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