6. Research & Publications:  

1.                  Ismael Ali, Alfonso Castro and R. Shivaji: Uniqueness and Stability of Nonnegative Solutions for Semipositone Problems in a Ball, Proc. AMS, Vol. 117, No. 3, pp. 775-782, March 1993.

2.                  Ismaiel Taqi and Alfonso Castro: Regularity for an Elliptic Problem, Revista Tecnica Ing. Univ. Zulia, Vol. 17, No. 1, pp. 43-45, April 1994.

3.                  I. Ali and A. Castro, Positive Solutions for a Semilinear Elliptic Problem with Critical Exponent, Nonlinear Analysis, Theory, Methods & Applications, 27, pp. 327-338, 1996.

4.                  I. Ali and S.L. Kalla: An application of fractional calculus to the solution of a general class of differential equations, Appl. Math. Comput., 77, pp. 137-152, 1996.

5.                  I. Ali and S.L. Kalla: On a class of linear differential equations of second and third order by fractional calculus, Jour. Fract. Cal., 9, pp. 51-57, 1996.

6.                  I. Ali and S.L. Kalla: Solution of some partial differential equations by fractional calculus, Journal of Fractional Calculus, 9, pp. 73-85, 1996.

7.                  S.L. Kalla and Ismail Ali: Fractional Calculus and It’s applications to differential equations, New Frontiers In Algebras, groups and geometries, Hadronic Press, pp. 389-405, 1996.

8.                  I Ali and S. Kalla: Solution of a class of integro-differential equations by fractional calculus, Algebras Groups and Geometries, Vol. 15, 213-228, 1998.

9.                  I. Ali, S.L. Kalla and H.G. Khajah: A Partial Differential Equation Related to a Problem in Atmospheric Pollution. Journal of Mathematical and Computer Modelling, 12, pp. 1-6, 1998.

10.              Valbuena, M, Galue, M. and Ali, I.: Some properties of the finite Laplace transofrm, Transform Methods & Special Functions, Varna '96, pp. 517-522, Bulgarian Acad. Sci., Sofia, 1998.

11.              I. Ali and S. Kalla: A generalized Hankel transform and its use for solving certain partial differential equation, Journal of Australian Mathematical Society, Part 1, Vol. 41, pp. 105-117, 1999.

12.              C. Grossmann and A. Ismail: Parameter selection rules for path-following with singular embedding. Numer. Math. 82, pp. 647-675, 1999.

13.              I. Ali, S.L. Kalla and H.G. Khajah: A time dependent model for the transport of heavy pollutants from ground-level aerial sources. Journal of Applied Mathematics and Computation, Vol. 105, Issue I, pp. 91-99, 1999.

14.              Leda Galue, Ismail Ali and S.L. Kalla: An extension of the Laguerre polynomials and associated orthonormal functions. Fractional Calculus and Applied Analysis, Vol. 3, No. 2, pp. 161-171,  2000.

15.              I. Ali. : Arbitrary order linear ordinary differintegral equations with polynomial coefficients. Journal of Fractional Calculus, Vol. 17, pp. 49-57, 2000.

16.              Vu Kim Tuan, Ali Ismail and Megumi Saigo: Plancherel and Paley-Wiener theorems for an index integral transform. Journal of the Korean Mathematical Society, Vol. 37, No. 4, pp. 545-563, 2000

17.              Ismail Ali: A fractional operators approach to Doubly Confluent Heun and Generalized Ellipsoidal wave equations. Kuwait Journal of Science and Engineering. Vol. 27, Part I, pp. 19-28, 2000.

18.              Ismail Ali and Vu Kim Tuan: Application of basic hypergeometric series to stable analytic continuation. Journal of Computational and Applied Mathematics, Special Issue on Higher Transcedental Functions and their Applications, Vol. 120, 118, pp. 193-202, 2000.

19.              Vu Kim Tuan, Ali Ismail and Megumi Saigo: On an index integral transform involving the modified Bessel function. Journal Integral Transforms and Special Functions, Vol. 12, No. 4, pp. 375-388, 2001.

20.              Ismail Ali, H.G. Khajah and S.L. Kalla: A generalized inverse Gaussian distribution with confluent hypergeometric function. Integral Transforms and Special Functions, Vol. 12, No. 1, pp. 101-114, 2001.

21.              I.H. Dimovski, S.L. Kalla, I.T. Ali: Operational calculus approach to PDE arizing in QR-Regularisation of Ill-Posed problems. Mathematical and Computer Modelling,  (To appear 2002).

22.              Ismail Ali, Virginia Kiryakova, S.L. Kalla: Solutions of fractional multi-order integral and differential equations using Poisson-type transform. Journal of Mathematical Analysis and Applications (To appear 2002).

23.              A. Al-Zamel, I. Ali and S. Kalla: A unified form of gamma-type and inverse gaussian distributions. Hadronic Journal, (Accepted for Publication).

PreCalculus, Ismail Ali, H. Farran and S. Mazhar,  1995 (This book is currently used by the Department of Mathematics and Computer Science, Kuwait University for the course Math 91, PreCalculus).

Text books in Mathematics for Course 34, Ministry of Education, 1998/99, 1999/00.

Instructor’s Guide for Course 34 in Mathematics, Ministry of Education, 1998/99.

Associate Editor of the Proceedings of the International Conference on Fourier Analysis and Applications, published on the Special Issue of the Journal Numerical Functional Analysis and Optimization, Vol. 21, Nos. 102, 2000, pp. 1-318, Marcel Dekker Inc.

1.                  S.L. Kalla and Ismail Ali: Fractional calculus and its application to differential equations, Proceedings of International Workshop, Institute for Basic Research, Monteroduni, Italy (Aug. 1995).

2.                  Ismail Ali and Alfonso Castro: Apriori estimate for positive solutions to elliptic problems, Proc. Texas PDE Conference, University of Houston, 1989.

3.                  Ismail Ali and Alfonso Castro: Existence of solutions to a superlinear Dirichlet Problem, Proc. Texas PDE Conference, University of Houston, 1989.

4.                  M. Valbuena, L. Galue and I. Ali: Some properties of the finite Laplace transform, Transform Methods and Special Functions, Int. Workshop, Varna'96, Proceedings of Second Int. Workshop, pp. 517-522, 23-30 Aug. 1996.

5.                  A Fractional Approach to Doubly Confluent Jeun and Generalized Ellipsoidal Wave Equations, First International Conference on the Integration of Dynamics, Monitoring and Control (DYMAC 99) Information, Manchester, U.K., August 31-Sept. 4, 1999.

6.                  S. Kalla, I. Ali, A. Al-Zamel and H. Khajah, Differential Equations Related to Pollution Problems, International Conference for Scientific Computations (ICSC99), Beirut, Lebanon, March 15-17, 1999 (Invited Talk).

7.                  Arbitrary Order Linear Ordinary Differintegral Equations with Polynomial Coefficients, Joint Mathematics Meeting, Washington D.C., USA, January 19-22, 2000.

Existence and Uniqueness of sign changing solutions to an Elliptic Problem.