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C. M. Science College, Darbhanga

Accredited By NAAC with A Grade
( A Constituent Unit of L. N. Mithila University, Darbhanga )

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Dr.Abhisekh Shekhar

Dr.Abhisekh Shekhar

  • Department: Department of Mathematics

  • Designation: Assistant Professor (Sr. Scale)

  • Email: abhi08.iitkgp@gmail.com

  • Research Area: History of Mathematics, Pseudo-differential Operators, Fractional Fourier Transform, Distribution Theory, Functional Analysis and Mathematical Modeling

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Dr. Abhisekh Shekhar is an Assistant Professor (Senior Scale) at Department of Mathematics, C.M.Science College, Darbhanga, Bihar, India (a constituent unit of L.N.Mithila University, Darbhanga, Bihar, India). He has completed B.Sc. (H) from Gaya College, Gaya (M.U. Bodh-Gaya) and M.Sc. from IIT kharagpur in mathematics, Ph.D. from Univ. Deptt. Of Mathematics, L.N.Mithila University, Darbhanga, Bihar, India. He has consistently demonstrated academic excellence. His research interests in History of Mathematics, Pseudo-differential Operators, Fractional Fourier Transform, Distribution Theory, Functional Analysis and Mathematical Modeling, with publications in Peer-Reviewed Journals, Scopus-indexed and UGC-CARE-listed Journals. Dr. Shekhar inspires students to see mathematics not just as a discipline but as a tradition of clarity and wonder.

Research Published Papers in Referred Journals / Other Reputed Journals As Notified By The UGC:

1. A.Prasad, Abhisekh Shekhar; Sobolev type spaces associated with fractional Fourier transform; Bll.Cal.Soc.,106, (1) 1-12(2014), Peer-Reviewed.

2. Abhisekh Shekhar, N.K.Agrawal ; Fractional Fourier transform in extended  Sobolev type spaces; IOSR Journal  of Mathematics (IOSR-JM); Volume 18, Issue 6 Ser. I (Nov. – Dec.2022), PP 45-55, Peer-Reviewed.

3. Abhisekh Shekhar, N.K.Agrawal; GENERALIZED PSEUDO-DIFFERENTIAL OPERATORS ASSOCIATED WITHSYMBOL CLASSES INVOLVING FRACTIONAL FOURIER TRANSFORM; Serdica Math. J. 48 (2022), 247–270 ; UGC-CARE.

4. Abhisekh Shekhar, N.K.Agrawal;  Non-Archimedean Pseudo-differential Operators Bψ1,ψ2 Connected with Fractional Fourier Transform; IJMAA, 11(2)(2023), 59–70; Peer-Reviewed.

5.Abhisekh Shekhar, N.K.Agrawal; Fractional Fourier Transform on Sobolev  Spaces Connected to Negative Definite Functions; Asian Journal of Pure and Applied Mathematics, Volume 5, Issue 1, Page 112-122, 2023; Article no.AJPAM.1260, Peer-Reviewed.

6 . Abhisekh Shekhar, N.K.Agrawal; Inequality and estimate of generalized pseudo-differential operators involving fractional Fourier transform; AIP Conference Proceeding, AIP Conf.Proc.3087, 09001 (2024), Scopus.

7. Abhisekh Shekhar; Fractional Fourier-Bessel type transform; AIP Conference Proceeding,  AIP Conf.Proc.3180, 02007 (2024), Scopus.

8. Abhisekh Shekhar; Compactness of Pseudo-Differential Type Operators Involving Fractional Fourier Transform; Asian Research Journal of Mathematics, Volume 21, Issue 9, Page 44-59, 2025; Article no.ARJOM.143161, Peer-Reviewed.

9. Abhisekh Shekhar; A Comprehensive Study Of Sustainable Future Of Fractional Fourier Transform; Journal of Harbin Engineering University, Vol 46 No. 9 September 2025, Scopus.

10. Abhisekh Shekhar; The Estimation of Pseudo-differential Operators Utilising the Coupled Fractional Fourier Transform and a Certain Inequality;  Asian Research Journal of Mathematics, Volume 21, Issue 9, Page 99-112, 2025; Article no.ARJOM.143721, Peer-Reviewed.

11. Abhisekh Shekhar; Coupled Fractional Fourier Transform On Sobolev Spaces Related To The Negative Definite Functions; IOSR-JM, Volume 21, Issue 5, Ser. 1 (Sept. – Oct. 2025), PP. 09-17, Peer-Reviewed.

12. Abhisekh Shekhar; A Study on the Fourier Transforms with Their Utilizations; Journal of Harbin Engineering University, Vol 46 No. 9 September 2025, Scopus.

13. Abhisekh Shekhar; Notion of Non-archimedean Pseudo-differential Operators Associated with Fractional Fourier Transform; Int. J. Math. And Appl., 13(3)(2025), 175–186, Peer-Reviewed.

14. Abhisekh Shekhar; A Note on The History of Mathematics in Ancient World and His Applications; Journal of Harbin Engineering University, Vol 46 No. 9 September 2025, Scopus.

15. Abhisekh Shekhar; Some Results on Pseudo-differential Operators Related Coupled Fractional Fourier Transform Involving Semi-norms & Norms; Asian Research Journal of Mathematics, Volume 21, Issue 10, Page 109-128, 2025; Article no.ARJOM.144957, Peer-Reviewed.

16.Abhisekh Shekhar;  Compactness Properties of Pseudo-differential Operators Related with the Coupled Fractional Fourier Transform; Asian Research Journal of Mathematics, Volume 21, Issue 11, Page 21-35, 2025; Article no.ARJOM.144958, Peer-Reviewed.

17. Abhisekh Shekhar; A History of the Mathematics during the Scientific Revolution; International Journal of Scientific Research in Science and Technology, Volume 12, Issue 6, November-December-2025, 272-283, Peer-Reviewed.

18. Abhisekh Shekhar; Stein-type Inequalities for the fractional Fourier Transform; Journal of Harbin Engineering University,  Vol 46 No. 11 November 2025, Scopus.

19. Abhisekh Shekhar; Some mathematical properties of two versions of pseudo-differential operators involving the coupled fractional Fourier transform; Communications on Applied Nonlinear Analysis, Vol 32 No. 7s (2025),978-993, Scopus.

20. Abhisekh Shekhar; Product and Commutator of pseudo-differential operators involving the coupled fractional Fourier transform; International Journal of Applied Mathematics, Volume 38 No. 5 2025, 1598-1623, Scopus.

21. Abhisekh Shekhar; Bessel Type Function Jθβ, Bessel Type Operator ∆θ β and Fractional Fourier-Bessel Type Transform F θ;  Int. J. Math. And Appl., 13(4)(2025), 159–168, Peer-Reviewed.

22. Abhisekh Shekhar; A discussion on non-archimedean pseudo-differential operator related with the coupled fractional Fourier transform; International Journal of Applied Mathematics, Volume 38 No. 11 2025, 3196-3203, Scopus.

23. Abhisekh Shekhar; The use of mathematics in educational institutions during the Scientific Revolution; Educational Administration Theory and Practice, 2024, 30(1), 8372-8384, Scopus.

24. Abhisekh Shekhar; The non-archimedean pseudo-differential operator Aφϑ,k1,ϑ2 involving coupled fractional Fourier transform connected to negative definite functions; Journal of Computational Analysis and Applications, VOL. 33, NO. 8, 2024, 7811-7823, Scopus.

25. Abhisekh Shekhar; A Mathematical Literature of Nested Intervals from “Archimedes” to “Georg Ferdinand Ludwing Phillip Cantor”; Scope, Volume 15 Number 04 December 2025, 2190-2206, Scopus.

26. Abhisekh Shekhar; Some Contributions of Calculus Pedagogy in Engineering Mathematics from 19th to 21th century; Anusandhanvallari, Vol 2023, No.1 January 2023, UGC-CARE.