Applied Mathematics

Applied Mathematics is an open access, peer-reviewed scientific journal that publishes original articles, critical reviews, research notes, debate and short reports in all areas of applied mathematics.


Dinesh Kumar

Assistant Professor, Pratap University, India

Research Areas

Fractional Calculus, Special Functions, Integral Transforms, Basic Hypergeometric functions, Mathematical Physics, q-Fractional Calculus, Differential Equation.

Education

2009-2012Ph.D.J.N. Vyas University, Jodhpur
2007-2009M.Phil.J.N. Vyas University, Jodhpur
2005-2007M.Sc.J.N. Vyas University, Jodhpur

Experience

2013-presentAssistant Professor of Mathematics at Pratap University, Jaipur, Rajasthan, INDIA.
2009-2013Sr. Lecturer of Mathematics at Swami Keshwanand (P.G.) College, Gharsana (SGNR), Rajasthan, INDIA.

Publications: Journals

[1]  J. Ram and D. Kumar; Generalized fractional integration involving Appell Hypergeometric of the product of two $H$-functions, Vijanana Parishad Anusandhan Patrika, Vol. 54, No. 3, July (2011): 33-43.
[2]  J. Ram and D. Kumar; Generalized fractional integration of the $\aleph$-function, J. Raj. Acad. Phy. Sci., Vol. 10, No. 4, December (2011): 373-382.
[3]  R.K. Saxena, J. Ram and D. Kumar; Generalized fractional differentiation for Saigo operators involving Aleph functions, J. Indian Acad. Math., Vol. 34, No. 1, (2012): 109-115.
[4]  R.K. Saxena, J. Ram and D. Kumar; Generalized fractional differentiation of the Aleph-Function associated with the Appell function $F_3$ , Acta Ciencia Indica, Vol. 38 M, No. 4, (2012): 781-792.
[5]  J. Ram and D. Kumar; The product of Bessel Functions of the First Kind with Fractional Calculus Operators Involving Appell Hypergeometric Function, Int. J. of Adv. Math. and Stat., Vol. 1, No. 1, (2012): 17-33.
[6]  R.K. Saxena, J. Ram and D. Kumar; On the Two-Dimensional Saigo-Maeda fractional calculus associated with Two-Dimensional Aleph Transform, Le Matematiche, Vol. 68, (2013): 267-281.
[7]  R.K. Saxena, J. Ram and D. Kumar; Generalized Fractional Integration of the Product of two $\aleph$-Functions Associated with the Appell Function $F_3$, ROMAI Journal, Vol.9, No.1 (2013): 147–158.
[8]  D. Kumar; On the solution of generalized fractional kinetic equations, Journal of Global Research in Mathematical Archives, Vol. 1, No. 4, April 2013, 31-39.
[9]  D. Kumar and J. Daiya; Generalized fractional differentiation of the $\{bar}H$-function involving general class of polynomials, Int. J. Pure Appl. Sci. Technol. (IJPAST), 16(1) May (2013): 42-53.
[10]  R.K. Saxena, J. Daiya and D. Kumar; Fractional integration of the $\{bar}H$-function and a general class of polynomials via pathway operator, J. Indian Acad. Math., Vol. 35, No. 2, (2013), 261-274.
[11]  R.K. Saxena, J. Ram and D. Kumar; Alternative Derivation of generalized fractional kinetic equations, FCAJ, Vol. 4(2), July 2013, pp. 322-334.
[12]  R.K. Saxena, J. Ram and D. Kumar; Sumudu and Laplace transforms of the Aleph-Function, Caspian Journal Of Applied Mathematics, Ecology And Economics, Vol. 1, No. 2, December 2013, pp. 19-28.
[13]  R.K. Saxena, J. Ram and D. Kumar; Generalized Fractional Integral of the Product of Two Aleph-functions, Applications and Applied Mathematics (AAM), Vol. 8(2), December 2013, pp. 631-646.
[14]  R.K. Saxena, J. Ram and D. Kumar; Generalized Fractional Calculus of the Product of two $\aleph$-Functions associated with the Appell Function $F_{3}$ , Tamkang Journal of Mathematics, Vol. 45, No. 2, June 2014, 137-148.
[15]  D. Kumar, P. Agarwal and S.D. Purohit; Generalized fractional integration of the $\{bar}H$-unction involving general class of polynomials, Walailak Journal of Science and Technology (WJST), Vol. 11 (2014).
[16]  Dinesh Kumar and Sunil Kumar; Fractional integrals and derivatives of the generalized Mittag-Leffler type function, International Scholarly Research Notices, Vol. 2014 (2014), http://dx.doi.org/10.1155/2014/907432.
[17]  Dinesh Kumar and S.D. Purohit; Fractional differintegral operators of the generalized Mittag-Leffler type function, Malaya J. Mat. 2(3), (2014).
[18]  Dinesh Kumar and Jitendra Daiya; Fractional calculus pertaining to generalized functions $H$-functions, Global Journal of Science Frontier Research, Vol. 14. No. 3, (2014).
[19]  R.K. Saxena and D. Kumar; Generalized fractional calculus of the Aleph-function involving a general class of polynomials, Acta Mathematica Scientia (Elsevier Journal), (2014).
[20]  R.K. Saxena, J. Daiya and D. Kumar; Fractional Differentiation of the Product of Appell Function $F_{3}$ and Multivariable $H$-Function, ROMAI Journal, (2014).
[21]  D. Kumar and R.K. Saxena; Generalized fractional calculus of the $M$- Series involving $F_{3}$ hypergeometric function, Sohag J. Math. 2(1), (2015).

Publications: Conferences/Workshops/Symposiums

[1]  R.K. Saxena, J. Ram and D. Kumar; Generalized fractional integration of the product of Bessel functions of the first kind, Proceeding of the 9th Annual Conference, SSFA, Vol. 9 (2010): 15-27.