My areas of research are Mathematical Modelling, Fractional Calculus, Dynamical System, Fracture Mechanics, Porous Media. Till date I have published One Hundred Ninety Six (196) research articles, out of which 192 articles in reputed international journals and 04 articles as book chapter publications. The number of Citations of my articles is more than Three thousand one hundred (3100+), out of which two articles have been cited in the journal "NATURE". In the year 2017, I have filed a Patent “A system and method for determination of Crack progression” (Ref. No. P.1323.IN; Application No. 201711012057; Date of filing: April 3, 2017).