Dr. Imran Talib
Assistant Professor
Department of Mathematics
Faculty of Science and Technology
PhD (Mathematics)
Applied Mathematics
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| Official Email |
imrantalib@vu.edu.pk |
| Contact |
+92 (42) 111 880 880 (Ext: 4739) |
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I am an Assistant Professor at the Virtual University of Pakistan in the Department of Mathematics. My current research interests are in fractional calculus, delay differential equations, fixed point theory, numerical analysis, orthogonal polynomials, special functions, spectral methods, artificial neural networks, and extreme learning machine.
I grew up in Sheikhupura, Pakistan, where I completed my high school education by attending the Govt. Comp. High School. Subsequently, I earned my BS Mathematics diploma from the Department of Mathematics at the University of the Punjab in Lahore, Pakistan. Continuing my academic journey at the same institution, I completed my MS in Mathematics under the guidance of Prof. Dr. Ghazala Akram. Finally, I obtained my PhD in Mathematics from the University of Management and Technology in Lahore, Pakistan, under the supervision of Associate Professor Dr. Naseer Ahmad Asif. During this time, I expanded on topological approaches to ensure the existence of solutions for nonlinear integer-order coupled boundary value problems. Additionally, I extended spectral methods for solving fractional-order partial differential equations and their coupled systems within my doctoral dissertation.
My contributions to academia are evident through numerous publications available on platforms such as Google Scholar and ResearchGate at https://scholar.google.com.pk/citations?user=ssY7vg8AAAAJ&hl=en, https://www.researchgate.net/profile/Imran-Talib-2.
I maintain collaborative relationships with esteemed mathematicians worldwide, including Dr. Tunc, Dr. Belgacem, Dr. Baleanu, Dr. Atangana, Dr. Thabet, Dr. Zakia Hammouch, and Dr. Bohner.
Presently, I am immersed in developing artificial neural network-based mathematical models to address integer-order and fractional-order delay differential equations, covering both homogeneous and nonhomogeneous initial and boundary conditions. |
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| Experience |
Instructor
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Virtual University of Pakistan
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Feb 21, 2010
To
Sep 12, 2012
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Lecturer
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Jinah College of Commerce, Sheikhupura
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| From
Sep 01, 2008
To
Sep 01, 2009
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Lecturer
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Cambridge college, Sheikhupura
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| From
May 03, 2006
To
Aug 10, 2008
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| Honors And Awards |
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First Position in Ms, Mathematics |
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2010 |
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Third Position in BS, Mathematics |
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2010 |
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| Memberships |
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Society |
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European Mathematical Society |
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| Publications |
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Category: Boundary Value Problems(Spronger) |
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Existence of solution for first-order coupled system with nonlinear coupled boundary conditions
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Category: American Journal of Applied Mathematics |
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Existence of solutions to a second order coupled system with nonlinear coupled boundary conditions
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Category: Research Journal of Applied Sciences, Engineering and Technology(Maxwell Scientific Organization) |
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Quartic Non-Polynomial Spline Solution of Third Order Singularly Perturbed Boundary Value Problems
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| Presentation |
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1
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Solution of a third order singularly perturbed boundary value problems using Quartic polynomial spline technique presented at Punjab university,Lahore |
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2
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Proof of contraction mapping theorem presented at Virtual University of Pakistan, Lawrence Campus, Lahore |
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3
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Solution of a third order singularly perturbed boundary value problems using non-polynomial spline technique presented at CIIT, Abbotabad Campus |
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4
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Solution of a second order singularly perturbed boundary value problems using sixth order polynomial spline technique presented at Punjab university,Lahore |
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5
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Solution of a third order singularly perturbed boundary value problems using polynomial spline technique presented at Punjab University, Lahore |
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6
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Construction of Green functions for regular SLBVP at Virtual University of Pakistan, Lawrence Campus, Lahore. |
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