49 citations · 83 across the 6 of their papers we have counts for
6 papers
Rational Approximations for Oscillatory Two-Parameter Mittag-Leffler Function
Aljowhara H. Honain, Khaled M. Furati, Ibrahim O. Sarumi +1
The two-parameter Mittag-Leffler function is of fundamental importance in fractional calculus. It appears frequently in the solutions of fractional differential and inte…
Fourier Spectral Methods with Exponential Time Differencing for Space-Fractional Partial Differential Equations in Population Dynamics
A. P. Harris, T. A. Biala, A. Q. M. Khaliq
Physical laws governing population dynamics are generally expressed as differential equations. Research in recent decades has incorporated fractional-order (non-integer) derivative…
Identification and prediction of time-varying parameters of COVID-19 model: a data-driven deep learning approach
Jie Long, Abdul Khaliq, Khaled Furati
Data-driven deep learning provides efficient algorithms for parameter identification of epidemiology models. Unlike the constant parameters, the complexity of identifying time-vary…
A fractional-order compartmental model for predicting the spread of the Covid-19 pandemic
Toheeb A. Biala, Abdul Q. Khaliq
We propose a time-fractional compartmental model (SEIIHRD) comprising of the susceptible, exposed, infected (asymptomatic and symptomatic), hospitalized, recovered and dead…
Slow-scale split-step tau-leap method for stiff stochastic chemical systems
Viktor Reshniak, Abdul Khaliq, David Voss
Tau-leaping is a family of algorithms for the approximate simulation of the discrete state continuous time Markov chains. Motivation for the development of such methods can be foun…
Split-step Milstein methods for multi-channel stiff stochastic differential systems
V. Reshniak, A. Q. M. Khaliq, D. A. Voss +1
We consider split-step Milstein methods for the solution of stiff stochastic differential equations with an emphasis on systems driven by multi-channel noise. We show their strong…