| [1] | Sunil Kumarand Om P. Singh, Numerical Inversion of the Abel Integral Equation using Homotopy Perturbation Method, Z. Naturforsch.65a, 677-682 (2010). |
| [2] | Sunil Kumar, OmP. Singh, Sandeep Dixit, Homotopy Perturbation Methodfor Solving System of Generalized Abel’s Integral Equations, Applications and Applied Mathematics: An International Journal (AAM)Vol. 5, Issue 10 (2011) |
| [3] | S. Dixit, Om P. Singh, S.Kumar, An analytic algorithm for solving system of Fractional Differential equations, Journal of Modern Methods in Numerical Methods, 1(1), (2010) 12-26. |
| [4] | S. Das, Sunil Kumar, Om P. Singh, Solutions of Nonlinear Second Order Multi-point Boundary Value Problems by Homotopy Perturbation Method, Applications and Applied Mathematics: An International Journal(AAM), Vol. 05 (2010), 1592-1600. |
| [5] | Sunil Kumar, OmP. Singh, Sandeep Dixit, Solution ofGeneralized Abel Integral Equation by Homotopy Perturbation Method, Applied Mathematical Sciences, Vol. 5, 2011, No. 5, 223-232. |
| [6] | Sunil Kumar, Om P. Singh, Sandeep Dixit, Generalized Abel Inversion Using Homotopy Perturbation Method, Applied Mathematics, Vol. 2, 2011 pp. 254-257 |
| [7] | S. Dixit, Rajesh K. Pandey, S. Kumar, Om P. Singh, Solution of Generalized Abel Integral equation by using Almost Bernstein Operational Matrix, American Journal of Computational Methods, 2011, 1, 226-234 |
| [8] | M. Khan, M. A. Gondal, Sunil Kumar, A Novel Homotopy Transform Method Algorithm for Linear and nonlinear System of Partial Differential Equations, World Applied Sciences Journal, 12(12), 2352-2357(2011) |
| [9] | M. Khan, M. A. Gondal, Sunil Kumar, A new analytical approach to solve exponential stretching sheet problem in fluid mechanics by variational iterative Pade method, The Journal of Mathematics and Computer Sciences, Vol. 3, No. 2 (2011) 135-144. |
| [10] | S. Das, Sunil Kumar, K. Vishal, Application of Homotopy Analysis method for
fractional Swift Hohenberg equation- Revisited, Applied Mathematical Modelling, Modelling 36 (8), (2012), 3630-3637 (Elsevier) |
| [11] | Sunil Kumar, A. Yildirim, M. Khan, M.A. Gondal, and I. Hussain, A Fractional Model of Impurity Concentration and Its Approximate solution, World Applied Sciences Journal, 13 (12) 2455-2462, 2011 |
| [12] | Sunil Kumar, Yasir Khan, Ahmet Yildirim, A Mathematical Modelling arising in the
Chemical Systems and its Approximate Numerical solution, Asia Pacific Journal of
Chemical Engineering, DOI: 10.1002/apj.636 (2011) |
| [13] | Yasir Khan, Naeem Faraz, Sunil Kumar, Ahmet Yildirim, A coupling Method of
homotopy method and Laplace transform for fractional modells, U.P.B. Sci. Bull., Series A Appl. Math. Phys, 74 (1) (2012) 57-68. |
| [14] | M. Khan, M. A. Gondal, Sunil Kumar, A new analytical solution procedure for
nonlinear integral equations, Mathematical and Computer Modelling, 55(7) (2012), 1892-1897 (Elsevier) |
| [15] | Sandeep Dixit, Om P. Singh, Sunil Kumar, A stable numerical inversion of
Generalized Abel Integral Equation, Applied Numerical Mathematics, 62(5), (2012),567-579 (Elsevier) |
| [16] | Sunil Kumar, Ahmet Yildirim, Yasir Khan, H. Jafari, K. Sayevand, L. Wei, A
Analytical Solution of Black- Scholes Option Pricing Equation by using Laplace transform, Vol. 2. Jan. 2012, No.8, pp.1--9, |
| [17] | A. Heidari, N. Heidari, R. Amiri, F. K. Jahromi, M. Zeinalkhani, F. Ghorbani, A. Piri,
Sunil Kumar, M. Ghorbani, A new approach to studying and investigating hydrogen storage in carbon nanostructures, International Journal of Scientific & Engineering Research Volume 3, Issue 3, March -2012 |
| [18] | Z. Pınar, A. Yıldırım, Sunil Kumar, A. Heidar, Syed Tauseef Mohyud-Din,
Variational Iteration Method for Bi-fractional Black-Merton-Scholes Model,
International Journal of Pure and Applied Mathematics, (Accepted) 2012 |
| [19] | Sunil Kumar, H. Kocak, Ahmet Yildirim, A fractional model of gas dynamics
equation by using Laplace transform, Z. Naturforsch. 67a, 389 - 396 (2012). |
| [20] | Sunil Kumar, Ahmet Yildirim, W. Leilei, A fractional model of diffusion equation
by using Laplace transform, Science Irantica, (2012) 19 (4), 1117-1123. (Elsevier) |
| [21] | L. Wei, Xindong Zhang, Sunil Kumar, Numerical study based on an implicit fully
discreate local discontinuous Galerkin method for time fractional coupled Schrodinger
system, Computer and Mathematics with application 64 (8) (2012)2603-2615 (Elsevier) |
| [22] | L. Wei, Yinnian He, Ahmet Yildirim, Sunil Kumar, Numerical study based on an
implicit fully discreate local discontinuous Galerkin method for time fractional KdVBurgers-Kuramoto equation, ZAMM (Accepted) (2012) |
| [23] | Sunil Kumar, M. P. Tripathi, Om P. Singh, A fractional model of Harry Dym
equation and its approximate solution, Ain Shams Engineering Journal DOI:
10.1016/j.asej.2012.07.001 (2012) (Accepted) (Elsevier) |
| [24] | Sunil Kumar, A new mathematical modelling for nonlinear wave in hyperlastic rod
and its approximate solution, Walailak Journal of Sciences and Technology, (2012)
(Accepted) |
| [25] | Wenbin Zhang, Jiangbo Zhou, Sunil Kumar, Symmetry Reduction, Exact Solutions,
and Conservation Laws of the ZK-BBM Equation, ISRN Mathematical Physics,
doi:10.5402/2012/ |
| [26] | S. Kazem, S. Abbasbandy, Sunil Kumar, Fractional-order Legendre functions for
solving fractional-order differential equations, Applied Mathematical Modelling, 37 (7),(2013) pp. 5498-5510. (Elsevier) |
| [27] | Alireza Sadr, Sunil Kumar, Solving Strongly Nonlinear Differential Equations by
Differential Transform Method, Application and Applied Mathematics, (2012) (Article in press) |
| [28] | Devendra Kumar, Jagdev Singh, Sunil Kumar, Analytic and approximate solutions
of space and time fractional telegraph equation via Laplace transform, Walailak Journal of Sciences and Technology, (2012) (Article in press) |
| [29] | Jianping Zhao, Bo Tang, Sunil Kumar and Yan Ren Hou, The extended fractional
sub-equation method for nonlinear fractional differential equations, Mathematical Problems in Engineering, (Accepted) (2012) Volume 2012, Article ID 924956, 12 pages, doi:10.1155/2012/924956 |
| [30] | Sunil Kumar, Naeem Faraz, Khosro Sayevand, A fractional model of Bloch equation
in Nuclear magnetic Resonence and its approximate solution, Walailak Journal of Sciences and Technology, (2012) (Article in press) |
| [31] | Sunil Kumar, Devendra Kumar, U. S. Mahabaleswar, A new adjustment of Laplace
transform for fractional Bloch equation in NMR flow, Application and Applied Mathematics: An International Journal (AAM) (Article in press) |
| [32] | Jagdev Singh, Devendra Kumar, Sunil Kumar, New treatment of fractional
Fornberg-Whitham equation via Laplace transform, Ain Sham Engineering Journal, (Accepted) (2012) (Article in press) |
| [33] | Jagdev Singh, Devendra Kumar, Sunil Kumar, A new reliable algorithm for solving
discontinuity problem in nanotechnology, Ain Sham Engineering Journal, (Accepted) (2012) (Article in press) Science Irantica, (Elsevier) |
| [34] | Wenbin Zhang, Jiangbo Zhou, Sunil Kumar, On the support of solutions to a two-
dimensional nonlinear wave equation, Journal of Mathematics, (Accepted) (Article in Press) (Hindawi Publishing Corporation) |