24 citations · 27 across the 10 of their papers we have counts for
12 papers
Quantum Recurrent Neural Networks with Encoder-Decoder for Time-Dependent Partial Differential Equations
Yuan Chen, Abdul Khaliq, Khaled M. Furati
Nonlinear time-dependent partial differential equations are essential in modeling complex phenomena across diverse fields, yet they pose significant challenges due to their computa…
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…
Multi-variant COVID-19 model with heterogeneous transmission rates using deep neural networks
K. D. Olumoyin, A. Q. M. Khaliq, K. M. Furati
Mutating variants of COVID-19 have been reported across many US states since 2021. In the fight against COVID-19, it has become imperative to study the heterogeneity in the time-va…
Data-driven deep learning algorithms for time-varying infection rates of COVID-19 and mitigation measures
K. D. Olumoyin, A. Q. M. Khaliq, K. M. Furati
Epidemiological models with constant parameters may not capture satisfactory infection patterns in the presence of pharmaceutical and non-pharmaceutical mitigation measures during…
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…
Highly Accurate Global Padé Approximations of Generalized Mittag-Leffler Function and its Inverse
Ibrahim O. Sarumi, Khaled M. Furati, Abdul Q. M. Khaliq
The two-parametric Mittag-Leffler function (MLF), , is fundamental to the study and simulation of fractional differential and integral equations. However, these functions…
Inverse source in two-parameter anomalous diffusion, numerical algorithms and simulations over graded time-meshes
Khaled M. Furati, Kassem Mustapha, Ibrahim O. Sarumi +1
We consider an inverse source two-parameter sub-diffusion model subject to a nonlocal initial condition. The problem models several physical processes, among them are the microwave…
A finite difference method for space fractional differential equations with variable diffusivity coefficient
K. Mustapha, K. Furati, O. M. Knio +1
Anomalous diffusion is a phenomenon that cannot be modeled accurately by second-order diffusion equations, but is better described by fractional diffusion models. The nonlocal natu…
Non-existence for fractionally damped fractional differential problems
Mohammed Kassim, Khaled M. Furati, Nasser-eddine Tatar
In this paper, we are concerned with a fractional differential inequality containing a lower order fractional derivative and a polynomial source term in the right hand side. A non-…
An inverse source problem for a two-parameter anomalous diffusion with local time datum
Khaled M. Furati, Olaniyi S. Iyiola, Kassem Mustapha
We determine the space-dependent source term for a two-parameter fractional diffusion problem subject to nonlocal non-self-adjoint boundary conditions and two local time-distinct d…
A discontinuous Galerkin method for time fractional diffusion equations with variable coefficients
K. Mustapha, B. Abdallah, K. M. Furati +1
We propose a piecewise-linear, time-stepping discontinuous Galerkin method to solve numerically a time fractional diffusion equation involving Caputo derivative of order $μ\in (0,1…
A discontinuous Petrov-Galerkin method for time-fractional diffusion equations
Kassem Mustapha, Basheer Abdallah, Khaled Furati
We propose and analyze a time-stepping discontinuous Petrov-Galerkin method combined with the continuous conforming finite element method in space for the numerical solution of tim…