Publications

Dr. Bilal Chanane Professor

May, 2015

[46] A. Boucherif, A. Al-Qahtani, and B. Chanane, 2015, Existence of solutions for impulsive parabolic partial differential equations, Numerical Functional Analysis and Optimization, Vol. 36, Iss 6, pp.730-747

[45] B. Chanane, Eigenvalues of Vectorial Sturm-Liouville Problems with parameter dependent boundary conditions,  Article ID 796086, Abstract and Applied Analysis, vol. 2015 pp. 1-9, January 2015

[44] Iftikhar Ali, Bilal Chanane, Nadeem A. Malik,  2015, Approximate solutions of a time-fractional diffusion equation with a source term using the variation iteration method, submitted

[43] Nadeem A. Malik, Iftikhar Ali and Bilal Chanane  “Numerical solutions of non-linear fractional transport models in unconventional hydrocarbon reservoirs using variational iteration method.” The 5th International Conference on Porous Media and its Applications in Science and Engineering ICPM5. June 22--27, 2014, Kona, Hawaii, USA.

[42] Iftikhar Ali, Nadeem A. Malik and Bilal Chanane  “Fractional Diffusion model for transport through porous media.” The 5th International Conference on Porous Media and its Applications in Science and Engineering ICPM5. June 22--27, 2014, Kona, Hawaii, USA.

[40] B. Chanane and A. Boucherif, Computation of the eigenpairs of two-parameter Sturm-Liouville problems using the Regularized Sampling Method, Article ID 695303,  Abstract and Applied Analysis, vol. 2014, pp. 1-6, June 2014.   http://arxiv.org/pdf/1208.3695

[39]A. Boucherif, A. Al-Qahtani, and B. Chanane, 2014, Existence of solutions for second order impulsive control problems with boundary conditions, Fixed Point Theory, vol. 15, no. 1, pp. 23-32

[38] A. Boucherif, A. S.  Al-Gahtani, B. Chanane, 2012, Existence of solutions for second order impulsive boundary value problems, Electronic Journal of Differential Equations, Vol. 2012 (2012), No. 24, pp. 1–10

[37] B. Chanane, 2011, Solutions of a class of partial differential equations with application to the Black-Scholes equation, Applied Mathematics and Computation, 217 (19) pp. 7845-7850

[36] B. Chanane, 2010, Accurate solutions of fourth order Sturm–Liouville problems, Journal of Computational and Applied Mathematics, 234 (2010) pp. 3064-3071, appeared electronically, DOI: 10.1016/j.cam.2010.04.023,

[35] B. Chanane,  2009, Computing the eigenvalues of a nonlocal Sturm-Liouville problem, Mathematical and Computer Modelling,  doi:10.1016/j.mcm.2008.10.021, (50) 225--232

[34] Rahimov, I., Chanane, B., 2008, Branching processes with incubation, Stochastic Models 24 (1), pp. 71-88

[32] B. Chanane, 2007, Eigenvalues of Sturm-Liouville problems with discontinuity inside a finite  interval , Applied Mathematics and Computation, 188/2 pp. 1725-1732, appeared electronically (2006) doi:10.1016/j.amc.2006.11.082

[31]B. Chanane, 2007, Sturm-Liouville problems with parameter dependent potential and boundary conditions, J. Computational and Applied Mathematics, 212 (2), pp. 282-290, appeared electronically (2006) doi:10.1016/j.cam.2006.12.006

 [30] B. Chanane, 2007, Computing the spectrum of non self-adjoint Sturm-Liouville problems with parameter dependent boundary, J. Computational and Applied Mathematics, 206/1 pp. 229-237, appeared electronically (2006) doi:10.1016/j.cam.2006.06.014

 [29] B. Chanane, 2007, Computing the eigenvalues of singular Sturm-Liouville problems using the regularized sampling method, Applied Mathematics and Computation , 184/2 pp. 972-978,  appeared electronically (2006) doi:10.1016/j.amc.2006.05.187

[28] B. Chanane, 2005, Computation of the Eigenvalues of Sturm-Liouville Problems with Parameter dependent boundary conditions using the Regularized Sampling Method,  Mathematics of Computation, American Mathematical Society, Vol. 74, No. 252, pp. 1793-1801, 2005, Article electronically published on March 18, 2005, S0025-5718(05)01717-5

[27] A. Boucherif, B. Chanane, 2004, Second Order Multivalued Boundary Value Problems, Communications in Applied Nonlinear Analysis, Vol. 11, No. 1, pp. 85-91     

[26] B. Chanane, 2003, Recovering entire functions with polynomial and exponential growth and  computation of their zeros, Intern. J. of Applied Math., Vol. 13, No. 3, pp. 261-277

[25] B. Chanane, A. Boucherif, 2003, Computation of the eigenpairs of two-parameter Sturm- Liouville problems with three-point boundary conditions,  Intern. J. of  Differential Equations and Applications, Vol. 7, No. 2, pp. 203-210.

 [24] A. Boucherif, B. Chanane, 2003, Boundary Value Problems for second Order Differential Inclusions, Intern. J. of Differential Equations and Applications, Vol. 7,  No. 2, pp. 147-151.

 [23] B. Chanane, 2002, Approximation of the Eigenvalues of Regular Fourth Order Sturm-Liouville Problems using Interpolation Theory, Approximation Theory X: Wavelets, Splines, and Applications, Charles K. Chui, Larry L. Schumaker, and Joachim Stockler (eds.), pp. 155-166.

 [22] B. Chanane,  2002, Fliess series approach to the computation of the eigenvalues  of fourth order Sturm-Liouville problems, Applied Mathematics Letters, Vol.15, Iss. 4, pp.459-463.

[21] B. Chanane, 2002, On a class of random Sturm-Liouville problems, Intern. J. of Applied Mathematics, Vol.8 No.2, pp. 171-182.

[20] B. Chanane, 2001, High Order Approximations of the Eigenvalues of Sturm-Liouville Problems with Coupled Self-Adjoint Boundary Conditions, Applicable Analysis, Vol. 80, pp. 317-330.

 [19] A. Boumenir, B. Chanane, 2001, The Computation of negative eigenvalues of singular Sturm-Liouville problems, I.M.A. J. Num. Anal., 21, (2), pp. 489-501.  

[18] B. Chanane, 2000, The Paley-Wiener-Levinson theorem and the computation of Sturm-Liouville eigenvalues:Irregular sampling, Applicable Analysis, Vol.75 (3-4), pp.261-266. 

[17] B. Chanane, 1999, Eigenvalue Problems: A Control Theoretic Approach, in Dynamics of Continuous , Discrete and Impulsive Systems, 1-4, pp. 465-471. 

[16] A. Boumenir, B. Chanane, 1999, Computing Eigenvalues of  Sturm-Liouville Systems of Bessel Type, Proceedings of the Edinburgh Math Society, 42, pp. 257-265.  

[15] B. Chanane, 1998, High Order Approximations of Eigenvalues of Regular Sturm-Liouville Problems, J. Math. Analysis and Applications, 226, pp.121-129.

[14] B. Chanane, 1999, Computing Eigenvalues of Regular Sturm-Liouville Problems, Applied Math. Letters, Vol.12, pp. 119-125.

 [13] B. Chanane, 1998, Eigenvalues of Fourth Order Sturm-Liouville problems using Fliess Series, J. of Computational  and Applied Math., Vol. 96, Iss. 2.,  pp. 91-97.

 [12] B. Chanane, 1998, Eigenvalues of Sturm-Liouville problems using Fliess series, Applicable Analysis, Vol. 69 (3-4) pp.233-238.

 [11] B. Chanane, 1998, A series solution for nonlinear differential equations using delta operators, Applied Math. Letters, Vol. 11, 6, pp. 75-80.

 [10] B. Chanane, 1998, Optimal control of nonlinear systems: A recursive approach, Computers and Mathematics with Applications, Vol. 35, No. 3, pp.29-33.

 [9] B. Chanane, 1997, A New Functional expansion for nonlinear systems, Systems and Control Letters, Vol. 32, No 2, pp. 91-98.             

[8] B. Chanane, 1997, Bilinear quadratic optimal control: A recursive approach, Optim. Contr. Applic. And Methods, Vol. 18, pp. 273-282. 

[7] A. Boumenir, B. Chanane, 1996, Eigenvalues of S-L systems using sampling theory, Applicable Analysis, Vol. 62, pp. 323-334.  

 [6] S. P. Banks, B. Chanane, 1992, On frequency response for nonlinear systems , In The Mathematics of Control Theory, Edited by N. K. Nichols and D. H. Owens, Clarendon Oxford,  pp. 147-156. 

[5] S. P. Banks, B. Chanane, 1991, Functional Expansion and Stability for nonlinear input-output maps, Int. J. Sys. Sci., Vol. 22, No. 2, 393-401. 

[4] B. Chanane, S. P. Banks, 1990, Rational expansion for nonlinear input-output maps, Int. J. Control, vol. 51, No. 6, 1241-1250. 

[3] B. Chanane, S. P. Banks, 1989, Realization and generalized frequency response for nonlinear input-output maps, Int. J. Sys. Sci., Vol. 20, No.11, 2161-2179.           

[2] B. Chanane, S. P. Banks, 1989, Nonlinear input-output maps for bilinear systems and stability, I.M.A. J. Math. Control & Information, 6, 309-315.  

[1] S. P. Banks, B. Chanane, 1988, A generalized frequency response for nonlinear systems, I.M.A. J. Math. Control & Information, 5, 147-166.