Abdulaziz Garba Ahmad

Federal University of Technology Babura · Mathematics

A nonisothermal two‐dimensional lumped kinetic model of reactive liquid chromatography is formulated and applied to simulate the separation of multicomponent mixtures in a fixed‐bed cylindrical column operating under nonisothermal condition. The axial and radial variations of concentration and temperature as well as reversibility of the chemical re...

An extended method of semidiscrete high-resolution finite volume is used in this paper to obtain numerical solutions for a formulated nonlinear lumped kinetic model of liquid chromatographic process to examine the effect of chromatographic column overloading gradient elution considering core-shell particles. The model constitutes linear solvent str...

This article adopts a class of nonlinear fractional differential equation associating Hilfer generalized proportional fractional (GPF) derivative with having boundary conditions, which amalgamates the Riemann-Liouville (RL) and Caputo-GPF derivative. Taking into consideration the weighted space continuous mappings, we first derive a corresponding i...

In this article, a semi-analytical approach known as the optimal auxiliary function method is extended to the approximate solution of non-linear partial differential equations. The fifth-order lax and swada-kotera equations are taken as test examples. Utilizing the well-known least squares method, the optimal convergence control parameter values in...

A mathematical model that describes the dynamics of bacterium vibrio cholera within a fixed population considering intrinsic bacteria growth, therapeutic treatment, sanitation and vaccination rates is developed. The developed mathematical model is validated against real cholera data. A sensitivity analysis of some of the model parameters is also co...

In this article, we explore the utilization of the Caputo derivative and the Riemann–Liouville (R–L) fractional integral to analyze the optimal auxiliary function method for approximating fractional nonlinear long waves. Approximate long wave equation with a distinct dispersion relation offers the most accurate description of shallow water wave pro...

The mathematical models of 3D flows through curved channels with one-sided bumps are developed. Two-channel configurations are considered, namely, the top bumpy wall-smooth wall (TS) configuration and the smooth wall-bottom bumpy wall (SB) configuration. The analytical solutions of the complex flow models are given. The dependence of the flows on t...

This work presents a comparison of fully porous and core-shell particles for size-exclusion chromatography. A two-dimensional general rate model is formulated for a column of cylindrical geometry. The model equations consist of a system of partial differential equations. Semi-analytical solutions are obtained for the formulated model equations by a...

In this research, coupled fractional models for immersed spheres and oscillatory pendulums have been proposed. We deploy the Laplace transform method together with the negative binomial formula to analytically investigate the dynamics of the systems. Approximate closed-form solutions are successfully revealed with the help of the convolution theore...

This study developed a novel generalized family of probability distributions known as the Odd F generalized family of distribution. The compound Odd F-Weibull distribution was introduced from the Odd F generalized family. This distribution is an alternative to various current distributions, such as the Beta-Weibull distribution, Generalized Modifie...

In this article, we investigated a deterministic model of pneumonia-meningitis coinfection. Employing the Atangana–Baleanu fractional derivative operator in the Caputo framework, we analyze a seven-component approach based on ordinary differential equations (DEs). Furthermore, the invariant domain, disease-free as well as endemic equilibria, and th...

In this article, we investigated a deterministic model of pneumonia-meningitis coinfection. Employing the Atangana–Baleanu fractional derivative operator in the Caputo framework, we analyze a seven-component approach based on ordinary differential equations (DEs). Furthermore, the invariant domain, disease-free as well as endemic equilibria, and th...

The present manuscript investigates the action of the Hilfer fractional operator on the dynamics of resistor–capacitor (RC) and certain resistor–inductor-capacitor (RLC) electric circuits using the Laplace transform method alongside utilizing the negative binomial formula. The choice of Hilfer's operator here was basically based on its interpolatin...

Scientists and researchers are increasingly interested in numerical simulations of infections with non-integer orders. It is self-evident that conventional epidemiological systems can be given in a predetermined order, but fractional-order derivative systems are not stable orders. The fractional derivative proves increasingly effective in represent...

Intravenous substance consumption is on the upswing all over the globe, especially in Europe and Asia. It is extremely harmful to society; excessive substance consumption is the leading cause of death. Beyond all prohibited narcotics, heroin is a narcotic that has a substantial negative impact on society and the world at large. In this paper, a her...

The present investigation dealing with a hybrid technique coupled with a new iterative transform method, namely the iterative Elzaki transform method (IETM), is employed to solve the nonlinear fractional Fisher’s model. Fisher’s equation is a precise mathematical result that arose in population dynamics and genetics, specifically in chemistry. The...

Fractional calculus has been the target of the work of many mathematicians for more than a century. Some of these investigations are of inequalities and fractional integral operators. In this article, a novel fractional operator which is known as weighted generalized proportional Hadamard fractional operator with unknown attribute weight is propose...

Chromatography is an impressive technique in analytical chemistry applied for the quantification, separation, and detection of individual components in a mixture. This thesis project is concentrated on the theoretical study of non-reactive and reactive liquid chromatography in cylindrical columns (reactors) packed with either totally porous or core...

In this article, the stability of equilibrium solutions of a recently formulated mathematical model of Savanna ecosystem is analytically and numerically analyzed. The mathematical model is formulated by generalizing all plant life into three components; trees, tree saplings, and grass under ecologically valid effects of fire, rainfall and competiti...

The effect of temperature variations in liquid chromatographic columns of cylindrical geometry are studied by formulating a non-isothermal and non-equilibrium two-dimensional (2D) lumped kinetic model (LKM) simulating the flows of two-component mixtures. The developed models contain systems of coupled convection-dominated partial differential, diff...

A nonlinear and non-isothermal two-dimensional lumped kinetic model (2D LKM) is solved numerically to simulate the transport of multi-component mixtures in fixed-bed liquid chromatographic columns of cylindrical geometry packed with core-shell particles. The model considers axial and radial dispersions, interfacial mass and heat transfers, nonlinea...

A non-equilibrium and non-isothermal two-dimensional lumped kinetic model (2 D-LKM) is formulated and analytically solved to study the influence of temperature variations along the axial and radial coordinates of a liquid chromatographic column. The model includes convection-diffusion partial differential equations for mass and energy balances in t...

In this paper, mystic miscellaneous algebraic properties of the set of 9 × 9 Composite (Nested) Louberé ́ Magic Squares are vividly visualized. And, verbatim virtuoso of algebraic properties of the 3 × 3 Louberé ́ Magic Squares viz: Eigen group, Magic Sum group and Centre Pieces group viewed the algebraic properties of its 9 × 9 Composite. It is al...