On near-optimal necessary and sufficient conditions for forward-backward stochastic systems with jumps, with applications to finance.Hafayed, M.; Veverka, P.; Abbas, S. Appl. Math., Vol. 59, no. 4, Pages 407–440, 2014.
Local and global stability analysis of two prey one predator model with help.Tripathi, J.P., Abbas, S., Thakur, M., Comm. Nonl. Sci. Numer. Sim., Vol.19 (9), Pages 3284-3297, 2014.
Dynamical analysis of the Irving-Mullineux oscillator equation of fractional order.Abbas, S., Erturk, V.S., Momani, S. Signal Processing, Vol.102, Pages 171-176, 2014.
Stepanov weighted pseudo almost automorphic sequences and their application.Abbas, S., Chang, Y.K., Hafayed, M. Nonlinear Studies, Vol.21 (1), Pages 99-111, 2014.
A comparative study of deterministic and stochastic dynamics for a non-autonomous allelopathic phytoplankton model.Mandal, P.S., Abbas, S., Banerjee, M., Applied Mathematics and Computation, Vol.238, Pages 300-318, 2014.
On near-optimal mean-field stochastic singular controls: necessary and sufficient conditions for near-optimality.Hafayed, M., Abbas, S. Journal of Optimization theory and Appl., Vol.160 (3), Pages 778-808, 2014.
Stochastic near-optimal singular controls for jump diffusions: necessary and sufficient conditions. Hafayed, M.; Abbas, S. J. Dyn. Control Syst., Vol 19, no. 4, Pages 503–517, 2013.
On necessary and sufficient conditions for near-optimal singular stochastic controls.Hafayed, M.; Abbas, S.; Veverka, P. Optim. Lett., Vol. 7,no. 5, Pages 949–966, 2013 .
Analysis of Caputo impulsive fractional order differential equations with applications.Mahto, L., Abbas, S., Favini, A. Int. J. Differential Equations, Vol. 2013, Pages 1-11, 2013.
Existence and attractivity of k-almost automorphic sequence solution of a model of cellular neural networks with delay. Abbas, S., Xia, Y. Acta Mathematica Scientia, Vol. 33 (1), Pages 290-302, 2013.
Approximate controllability and optimal control of impulsive fractional functional differential equations. Mahto, L., Abbas, S. Jour. Abstr, Differ. Equ. Appl., Vol. 4, no. 2, Pages 44-59, 2013.
Existence and Attractivity of k-Pseudo Almost Automorphic Sequence Solution of a Model of Bidirectional Neural Networks.Abbas, S. Acta Applicandae Mathematicae, Vol.119 (1), Pages 57-74, 2012.
Almost periodic solutions of non-autonomous model of phytoplankton allelopathy.Abbas, S., Sen, M., Banerjee, M., Nonlinear Dynamics, Vol.67 (1), Pages 203-214, 2012.
A note on Weyl pseudo almost automorphic functions and their properties.Abbas, S. Mathematical Sciences, Vol.6:29, 2012.
Application of Mawhins coincidence degree and matrix spectral theory to a delayed system.
Yonghui Xia, Xiang, G., Patricia, J. Y. Wong, Abbas, S. Abstract and Applied Analysis, Vol.2012, 19 Pages, 2012.
Pseudo almost automorphic solutions of some nonlinear integro-differential equations.
Abbas, S. Computers & Mathematics with Applications, Vol.62 (05), Pages 2259-2272, 2011.
Dynamical analysis of a fractional order modified logistic model.
Abbas, S., Banerjee, M., Momani, S. Computers and Mathematics with Applications, Vol. 62, Issue 3, Pages 1098-1104, 2011.
Existence of solutions to fractional order ordinary and delay differential equations and applications.
Abbas, S. Electronic Journal of Differential Equations, Vol. 2011, No.9, Pages 1-11, 2011.
Pseudo almost periodic solution of stochastic functional differential equations .Abbas, S. International Journal of Evolution Equations, Vol.5 (4), Pages 1-13, 2010.
“Weighted pseudo almost automorphic sequences and their applications”. Abbas, S.Electronic Journal of Differential Equations, Vol. 2010, No. 121, Pages 1-14, 2010.
Existence of almost automorphic solutions of neutral functional differential equation.
Mishra, I.; Bahuguna, D.; Abbas, S. Nonlinear Dyn. Syst. Theory, Vol.11, no. 2, Pages 165–172, 2011.
Abbas, S., Dynamical Analysis of a model of harmful algae in flowing habitats with variable rates, Nonlinear Analysis, RWA, 22, 16-33, 2015
Abbas, S., Xia, Yonghui, Almost Automorphic Solutions of Impulsive Cellular Neural Networks with Piecewise Constant Argument, accepted, Neural Processing Letters, 2014.
Tripathi, J.P., Abbas, S., Thakur, M., A density dependent delayed predator-prey model with Beddington-DeAngelis type Function Response incorporating a prey refuge, accepted, Comm. Nonl. Sci. Num. Simu., 2014
Banerjee, M., Abbas, S., Existence and non-existence of spatial patterns in a ratio-dependent predator–prey model, Ecological Complexity, Volume 21, March 2015, Pages 199–214.
Abbas, S., Mahto, L., Favini, A., Hafayed, M., Dynamical study of fractional model of allelopthic stimulatory phytoplankton species, accepted, Differential Equations and Dynamical Systems, 2014.
Kavitha, V., Abbas, S., Murugesu, R., Asympotically almost automorphic solutions of fractional order neutral integro differential equations, accepted, Bulletin Malaysian Math. Society, 2014.
Abbas, S., Sheep distribution problem through Egyptian fraction, Resonance, journal of science
education, Vol.19 ,Issue 9, Pages:840-845,2014
Abbas S., Xia Y. Existence and attractivity of k-almost automorphic solutions of a model of cellular neural network with delay. Acta Mathematica Scientia., 2013; 1:290-302.
Tripathi, J.P., Abbas, S., Thakur, M., A density dependent delayed predator-prey model with Beddington-DeAngelis type Function Response incorporating a prey refuge, Comm. Nonl. Sci. Num. Simu., 22 (1), 427-450, 2015.
Tripathi, J.P., Abbas, S., Thakur, M., Dynamical analysis of a prey–predator model with Beddington–DeAngelis type function response incorporating a prey refuge, Nonlinear Dynamics, in press, 1-20, 2014.
Mahto, L., Abbas, S., PC-almost automorphic solution of impulsive fractional differential equations, accepted, Mediterranean Journal of Mathematics, in press, 2014.
Negi, S., Abbas, S., Malik, M., Oscillation criteria os second order nonlinear dynamic equations with nonlinear integro forcing term on time scales, Bulletin of the South Ural State University: Physical Sciences, Feb. 2017, 1-13.
Tyagi, S., Abbas, S., Pinto, M., Sepulveda, D., Approximation of Solutions of Fractional-Order Delayed Cellular Neural Network on [0, inifty), Mediterranean Journal of Mathematics, February 2017, 14:23, 2017.
Tyagi, S., Abbas, S., Stability and synchronization of delayed fractional-order projection neural network with piece-wise constant argument of mixed type, Tbilisi Mathematical Journal, 2017.
Tyagi, S., Abbas, S., Pinto, M., Sepulveda, D., Uniform Euler approximation of solutions of fractional-order delayed cellular neural network on bounded intervals, Tbilisi Mathematical Journal, 2017.
Abbas, S., Golden Ratio: A measure of Physical Beauty, Resonance, January 2017, Vol-22, 1-10, 2017.
Tyagi, S., Abbas, S., Kirane, M., Global asymptotic and exponential synchronization of ring neural network with reaction–diffusion term and unbounded delay, In press, Neural Computing and Applications, 2016.
Kaviarasan, B., Sakthivel, R., Abbas, S., Robust consensus of nonlinear multi‐agent systems via reliable control with probabilistic time delay, In press, Complexity, 2016.
Tripathi, JP., Abbas, S., Global dynamics of autonomous and nonautonomous SI epidemic models with nonlinear incidence rate and feedback controls, Nonlinear Dynamics, 2016.
Kothari, A., Chauhan, VS., Misra, A., Abbas, S., Kumar, R., Effect of strain hardening on the electromagnetic radiation during plastic deformation of metals and alloys beyond yield point, Nonlinear Dynamics, 2016.
Tyagi, S., Abbas, S., Hafayed, M., Global Mittag–Leffler stability of complex valued fractional-order neural network with discrete and distributed delays, Rendiconti del Circolo Matematico di Palermo (1952 -), 1-21, 2016.
Kothari, A., Chauhan, V.S., Kumar, A., Kumar, R., Vaish, R., Abbas, S., Effect of Peierls stress and strain hardening parameters on EMR emission in metals and alloys during progressive plastic deformation, International Journal of Materials Research, In press, 2016.
Tripathi, J.P., Tyagi, S., Abbas, S., Global analysis of a delayed density dependent predator–prey model with Crowley–Martin functional response, Comm. Nonl. Sci. Num. Simu, 30 (1), 45-69, 2016.
Hafayed, M., Abba, A., Abbas, S., On partial-information optimal singular control problem for mean-field stochastic differential equations driven by Teugels martingales measures, International Journal of Control, 89(2), 397-410, 2016.
Contributing Author, Chapter Weighted Pseudo Almost Automorphic Solutions of Neutral Functional Differential Equations in Evolution Equations by Arthur L. Claes, Mathematics Research Developments series, Nova Science Publishers, USA, 2011, ISBN: 978-1-61209-652-0.
Contributing Author, Chapter “Pseudo Almost Periodic Solution of Stochastic Functional Differential Equations” ,Evolution Equations Research Compendium ,Vol. 2, Pages 369-382,Edited by G. M. N’Guerekata, 2012
Abbas, S., Almost automorphic sequences and their application to a model of cellular neural network, Springer proceedings, ICDEA, May 26-30, 2013, Muscat, Oman.
Abbas, S., Mahto, L. Existence of almost periodic solutions of a model of phytoplankton allelopathy with delay, In ICNAAM-2012, 19-25 September 2012, Kos, Greece, AIP Conference Proceedings, Vol.1479, Pages: 900-904, 2012.
Mahto, L., Abbas, S. Existence and uniqueness of the solutions of Caputo fractional differential equations, In ICNAAM-2012, 19-25 September 2012, Kos, Greece, AIP Conference Proceedings, Vol.1479, Pages: 896-899, 2012.
Tripathi, J. P., Abbas, S., Thakur, M. Stability analysis of two prey one predator model, In ICNAAM-2012, 19-25 September 2012, Kos, Greece, AIP Conference Proceedings, Vol.1479, Pages:905-909, 2012.