Inverse Problems with Applications in Fluid Dynamics and Differential Equations
Fractional, Delay, Impulsive and Neutral Differential Equations
Delay, Functional, Impulsive and Neutral Functional Differential Equations with Applications in Mathematical Biology
Ph.D.(2006), IIT Kanpur
MSc Mathematics, AMU Aligarh,
BSc (Hons), Mathematics, AMU Aligarh,
Academic Research Experience
Post-doctoral Fellow (2nd Sept 2008 - 2nd February 2010) Center for Mathematical Modelling(CMM), Santiago, Chile..
Post-doctoral Fellow (1st Sept 2006 - 31st Aug 2008),Department of Mathematics, Indian Institute of Science Bangalore, India.
I visited the IECN Laboratoire de Mathématiques - Bureau, Henri Poincare University, Nancy France, 1 Jun 2009 - 15 July 2009
I worked as an Assistant Professor at Qassim University, Saudi Arabia from 11 Nov 2012 - 20 June 2014
I worked as an Assistant Professor at Birla Institute of Technology and Science (BITS) Pilani - Goa Campus, India from 17 July 2010 - 31 July 2012
M. Muslim, Ravi P. Agarwal; Exact Controllability of an Integro-differential
Equation with Deviated Arguments, Functional Differential Equations, Vol. 21, no.1-2, Pages 31-45, 2014.
M. Muslim, Fahad Al- Mufadi, Ravi P. Agarwal; Controllability of Abstract Neutral Differential
Equations with Deviated Arguments,Dynamics of Continuous, Discrete and Impulsive Systems:
Series A,Mathematical Analysis, 20 (2013), 755 - 767.
M. Muslim, R. P. Agarwal; Existence, uniqueness and convergence of approximate solutions of
nonlocal functional differential equations, Carpathian Journal of Mathematics, 27 (2011), No. 2, 249 - 259.
M. Muslim, Ravi P. Agarwal and N. I. Mahmudov; Approximate controllability of integro-differential equations
in a Hilbert space with nonlocal conditions, Dynamics of Continuous, Discrete and Impulsive Systems:
Series A, Mathematical Analysis,Vol 18, Number 2(2011),269-283.
M. Muslim, Carlos Conca and Ravi P. Agarwal; Existence of Local and Global Solutions of
Fractional Order Differential Equations, Nonlinear Oscillations, 14 (2011), Number 2, 76-84.
Carlos Conca, M. Muslim and Alexandre Munnier; On the detection of a moving rigid solid
in a perfect fluid, Inverse Problem 26(2010) 095010 (18 Page).
M. Muslim and A. K. Nandakumaran, Existence and approximations
of solutions to some fractional order functional integral equations, Journal of Integral Equations and
applications, 22(1) (2010), 95-114.
M. Muslim and Ravi. P. Agarwal, Approximations of solutions to impulsive functional differential equations, Journal
of Applied Mathematics and Computing, 34(2010)101-112.
M. Muslim, Carlos Conca and A. K. Nandakumaran; Approximation of Solutions
to Fractional Integral Equations,Computers and Mathematics with Applications, 59(3) 2010, 1236 -- 1244.
M. Muslim, Existence and Approximation of
Solutions to Fractional Differential Equations, Mathematical
and Computer Modelling, 49 (2009) 1164--1172.
M. Muslim, Ravi P. Agarwal and A. K. Nandakumaran, Existence, uniqueness and convergence of
approximate solutions of impulsive neutral differential equations, Functional Differential Equations, 16(3)(2009),
D. Bahuguna and M. Muslim, Approximation of
solutions to a class of second order history-valued delay
differential equations, Nonlinear Dynamics and System
Theory, 8(3)(2008), 237--254.
M. Muslim, Ravi P. Agarwal and A. K. Nandakumaran, Existence
of Local and Global Solutions to Fractional Order Integral Equations, International Publications (USA),
Pan American Mathematical Journal, 18 (3) 2008, 47--57.
M. Muslim and D. Bahuguna, Existence of solutions to neutral
differential equations with deviated argument, Electronic Journal of
Qualitative Theory of Differential Equations, 2008, No. 27, 1-12.
D. Bahuguna and M. Muslim, A study of Nonlocal History- valued Retarded Differential Equations using
Analytic Semigroup, Nonlinear Dynamics and System Theory, 6(1) (2006) 63-75.
M. Muslim, Approximation of Solutions to History-valued
Neutral Functional Differential Equations, Computers and Mathematics
with Applications, Vol. 51, Issue 3-4 (2006), 537-550.
D. Bahuguna and M. Muslim, Approximation of solutions to
Non-local History-valued Retarded Differential Equations, Applied Mathematics
and Computation, 174 (2006), 165-179.
D. Bahuguna and M. Muslim, Approximation of Solutions to Retarded
Differential Equations with Applications to Population Dynamics, Journal of
Applied Mathematics and Stochastic Analysis, 1 (2005), 1-11.
D. Bahuguna and M. Muslim; Approximations of Solutions to Retarded
Integrodifferential Equations, Electronic J. Diff. Eqns, 136 (2004), 1-13.
D. Bahuguna and M. Muslim, Retarded Function Differential Equations
with Applications to Population dynamics, Differential Equations
and Dynamical Systems, Editor: D. Bahuguna, Narosa Publishing House,
India, 2004, p. 119 - 126.
Selected Conferences and Symposia
Workshop on Control and Numerics for Fluid-Structure Interaction Problems, TIFR Bangalore, 29 June - 1 July, 2015
Advanced Summer School on Control and Numerics for Fluid-Structure Interaction Problems,TIFR Bangalore, 22-26 June, 2015
Controllability of an Abstract Differential Equation with Deviated Arguments,
International Conference on Recent advances in Mathematical Biology, Analysis and Applications, AMU, Aligarh, June 4 - 6, 2015.
Controllability of Differential Equations with Deviated Arguments, Advanced Workshop and Conference on Hyperbolic PDEs: Theory,
Numerics & Applications and Conference on Partial Differential Equations, LNMIIT Jaipur, December 1-11, 2014.
Application of functional analysis to Differential Equations with Deviated Arguments,
International Conference on Algebra, Geometry, Analysis and their Applications, JMI, New Delhi, November 27 - 29, 2014.
Detection of a Single Moving Rigid Solid in an Ideal Fluid,
CIMPA summer school on Inverse Problems and its applications, Center for Mathematical Modeling,
University of Chile, Santiago Chile, January 4 - January 15, 2010.
Application of Semigroup Theory to Fractional Order Evolution
Equations, National Symposium on "Recent advances in Mathematical
Sciences, Indian Institute of Technology Kanpur, 16- 17, February
Regularity of Mild Solutions to Nonlocal History-valued
Retarded Differential Equations, International Conference on Recent
Trends in Nonlinear Analysis and its Applications, Indian Institute
of Technology Bombay, 11-13, December 2004
Wipa 2010, Workshop on Inverse problems and applications, Departamento
de Matemática, Universidad Técnica Federico Santa María, Valparaíso, Chile, January 18- January 22, 2010.
Joint-Indo French workshop on Partial Differential
Equations and its Applications, Indian Institute of Science,
Bangalore, 7 - 12, February 2005.