Post Doctoral Fellow (PDF)- Dr. D.S. Kothari Fellowship (DSKPDF) from BHU (Awarded April 4, 2018), Varansi & completed PDF from NBHM, DAE, Bombay (from December 1, 2014- November 30, 2017).
Main publications:
N. Südland, J. Volkmann and Dinesh Kumar, “Applications to give an analytical
solution to the Black Scholes equation”, Integral Transforms and Special
Functions, 30:3 (2019), 205-230.
D. Baleanu, Dinesh Kumar and S.D. Purohit, “Generalized fractional integrals of product of two $H$ -functions and a general class of polynomials”, International
Journal of Computer Mathematics, 93:8 (2016), 1320-1329.
R.K. Saxena and Dinesh Kumar, “Generalized fractional calculus of the Alephfunction
involving a general class of polynomials”, Acta Mathematica Scientia, 35:5 (2015), 1095–1110.
Dinesh Kumar, S.D. Purohit, A. Secer and A. Atangana, “On generalized
fractional kinetic equations involving generalized Bessel function of the first kind”, Mathematical Problems in Engineering, 2015 (2015), 1-7.
Junesang Choi and Dinesh Kumar, “Certain unified fractional integrals and derivatives for a product of Aleph function and a general class of multivariable polynomials”, Journal of Inequalities and Applications, 15:2014 (2014), 1-15.
D. Kumar, F. Y. Ayant, A. Singh, P. K. Banerji, “Finite integral formula involving Aleph-function and generalized Mittag–Leffler function”, Probl. Anal. Issues Anal., 9(27):1 (2020), 96–109