Md. Nasim Akhtar

Assistant Professor

B.Sc., The University of Burdwan (2009)

M.Sc., Indian Institute of Technology Madras (2011)

PhD, Indian Institute of Technology Guwahati (2017)

My doctoral work at IIT Guwahati with Prof. M. Guru Prem Prasad collaboration with Prof. Maria A. Navascues, University of Zaragoza, Spain was on the estimation of fractal dimensions of certain fractal functions. After completing my PhD I was a visitor at ISI Chennai-Centre for a short period. Then I joined Aliah University as an Assistant Professor on 6th September, 2017 and was there until 31st July, 2018. I joined Presidency University as an Assistant Professor on 1st August, 2018.

My broad area of research is Fractals. In my Phd Thesis we have estimated fractal dimensions of certain fractal functions on a compact set. Now I am interested to investigate the local behaviour of the fractal function on a compact set.

At Presidency University

July-December, 2018

Algebra (1st year B.Sc.)

Calculus I (UG)

At Aliah University

July-December, 2017

Function of Real Variable I (2nd year B.Sc.)

Functions of Several Variables (3rd year B.Sc.)

Jan-June, 2018

Function of Real Variable II (2nd year B.Sc.)

Complex Analysis (1st year M.Sc.)

PhD Students: 1. Alamgir Hossain (Completed on July 2024) Thesis Title: New Aspect of Fractals on Higher Dimensions 2. Akash Banerjee (Ongoing) 3. Abu Osama (Ongoing).

[1] Md. N. Akhtar, M. G. P. Prasad and M. A. Navascuess

     Fractal Jacobi systems and convergence of Fourier-Jacobi expansions of fractal functions

     Mediterranean Journal of Mathematics, 13 (6), 1-21 (2016)

[2] M. G. P. Prasad and Md. N. Akhtar

     Fractal interpolation surfaces and perturbations on vertical scaling factors

     International Journal of Nonlinear Science, 21 (1), 3-12 (2016)

[3] Md. N. Akhtar and M. G. P. Prasad

     Graph-directed coalescence hidden variable fractal interpolation functions

     Applied Mathematics, 7 (2016)

[4] Md. N. Akhtar, M. G. P. Prasad and M. A. Navascuess

     Box dimensions of ?-fractal functions

     Fractals, 24 (3), 1650037 (2016)

[5 ] Md. N. Akhtar, M. G. P. Prasad and M. A. Navascues

     Box dimensions of ?-fractal functions with function scale vector in subintervals

     Chaos, Solitons and Fractals, 103, 440-449 (2017)

[6] Md. N. Akhtar, M. G. P. Prasad and M. A. Navascues

     More general fractal functions on the sphere

     Mediterranean Journal of Mathematics, 16:134  (2019)                                                               

[7] Md. N. Akhtar, M. G. P. Prasad and G. P. Kapoor

     Image compression using fractal multiwavelet transform

     The Journal of Analysis, 28 (2020)  

[8]  M. A. Navascues, R. N. Mohapatra and Md. N. Akhtar   

      Construction of fractal surfaces

      Fractals 28(2) 2050033 (2020)                                                                                     

[9]  M. A. Navascues, R. N. Mohapatra and Md. N. Akhtar

      Fractal frames of functions on the rectangle

      Fractal and fractional  5(2), 42 (2021)

[10] Md. N. Akhtar, M. G. P. Prasad, M. A. Navascues, and R. N. Mohapatra 

       New fractal functions on the sphere

      The European Physical Journal Special Topics (2021)

[11] Md. N. Islam, I. Kaish, Md. N. Akhtar, and M. A. Navascues

        Fractal Sobolev systems of functions associated with orthonormal systems of 

        functions

       Asian-European Journal of Mathematics,  15 (11), (2022)

[12] Md. N. Akhtar and A. Hossain

        Stereographic Metric and Dimensions of Fractals on the Sphere

        Results in Mathematics 77(6), (2022)

[13] A. Banerjee, Md. N. Akhtar, and M. A. Navascues

        Local ? -fractal interpolation function

        The European Physical Journal Special Topics, 232 (1), (2023)

[14] A. Hossain, Md. N. Akhtar and M. A. Navascues

         Fractal Dimension of Fractal Functions on the Real Projective Plane

         Fractal and Fractional 7(7), (2023)

[15] A. Hossain, Md. N. Akhtar and M. A. Navascues

        Fractal interpolation on the real projective plane

        Numerical Algorithm (accepted), (2023)