Dr. Dinesh Kumar
Agriculture University, Jodhpur
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Academic Career Length
14Years (2013-Present)
(Calculated once Scilit publication data is synced: current year − year of first publication + 1)
Representative Publications
View All Publications18 February 2015 in Mathematical Problems in Engineering
Journal Article
Dinesh KumarSPSunil Dutt Purohit
Sunil Dutt PurohitASAYDIN SECER
AYDIN SECER
Abdon AtanganaWe develop a new and further generalized form of the fractional kinetic equation involving generalized Bessel function of the first kind. The manifold generality of the generalized Bessel function of the first kind is discussed in terms of the solution of the fractional kinetic equation in the paper. The results obtained here are quite general in nature and capable of yielding a very large number of known and (presumably) new results.
27 May 2015 in International Journal of Computer Mathematics
Journal Article
The purpose of this paper is to compute two unified fractional integrals involving the product of two H-functions, a general class of polynomials and Appell function . These integrals are further applied in proving two theorems on Saigo–Maeda fractional integral operators. Some consequent results and special cases are also pointed out in the concluding section.
25 February 2022 in International Journal of Applied and Computational Mathematics
Journal Article
PRPankaj Ramani
Pankaj Ramani
AKArif M. Khan
Arif M. Khan
DSD.L. Suthar
D.L. SutharDinesh Kumar19 January 2016 in Journal of Nonlinear Sciences and Applications
Journal Article
1 January 2016 in Filomat
Journal Article
In the present paper, we study and develop the definite integrals of Gradshteyn-Ryzhik given by Qureshi et al. [3]. The results are in general character and besides of this have been put in a compact form avoiding the occurrence of infinite series and thus making them useful in applications. Several other new and known results can also be obtained from our main theorems.
20 January 2020 in Advances in Difference Equations
Journal Article
KNKottakkaran Sooppy Nisar
Kottakkaran Sooppy NisarASAmjad Shaikh
Amjad Shaikh
Gauhar RahmanDinesh KumarFractional kinetic equations (FKEs) including a wide variety of special functions have been widely and successfully applied in describing and solving many important problems of physics and astrophysics. In this paper, we derive the solutions for FKEs including the class of functions with the help of Sumudu transforms. Many important special cases are then revealed and analyzed. The use of the class of functions to obtain the solution of FKEs is fairly general and can be efficiently used to construct several well-known and novel FKEs.
About Me
Dr. Dinesh works as an Assistant Professor of Mathematics at Agriculture University Jodhpur. Dr. Dinesh has made significant contributions to research in fractional calculus, integral transforms, q-fractional calculus, mathematical physics, differential equations, special functions, basic hypergeometric functions, and kinetic and reaction-diffusion equations. He has published 118 research papers in international and national peer-reviewed journals and authored a reference book with a German international publisher. Dr. Kumar’s research publications have an h-index of 21 with an i10-index of 42. Dr. Kumar has presented 17 papers at various international and national conferences. Dr. Dinesh received the International Open Arms travel grant (BRL 8,800) from IMPA and the Brazilian Mathematical Society to attend ICM 2018 in Rio de Janeiro, Brazil, August 1-9, 2018. He holds life memberships in several professional societies, including the Rajasthan Academy of Physical Sciences, Rajasthan Ganita Parishad (Ajmer), and the Indian Academy of Mathematics. Dr. Dinesh served as Joint Secretary of the Rajasthan Ganita Parishad, Ajmer, in 2018-19, 2019-20, 2020-21, and 2021-22.