Shatha Hasan
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View article: Some Spectral Radius Inequalities for Certain Matrices
Some Spectral Radius Inequalities for Certain Matrices Open
In this paper, we provide upper bounds for spectral radius inequalities of $2 \times 2$ block accretive-dissipative matrices.
View article: New Version of Lin, Hartfiel, and Hong-QI Inequalities for Accretive-Dissipative Matrices
New Version of Lin, Hartfiel, and Hong-QI Inequalities for Accretive-Dissipative Matrices Open
View article: Multi-step Residual Power Series Method for Solving Stiff Systems
Multi-step Residual Power Series Method for Solving Stiff Systems Open
In this paper, an efficient algorithm based on the residual power series method (RPSM) is presented to solve stiff systems of Caputo fractional order. We apply the RPSM on subintervals to get approximate solutions of these types of systems…
View article: A modified reproducing Kernel Hilbert space method for solving fuzzy fractional integro-differential equations
A modified reproducing Kernel Hilbert space method for solving fuzzy fractional integro-differential equations Open
The aim of this paper is to extend the application of the reproducing kernel Hilbert space method (RKHSM) to solve linear and non-linear fuzzy integro-differential equations of fractional order under Caputo's H-differentiability. The analy…
View article: Attractive Multistep Reproducing Kernel Approach for Solving Stiffness Differential Systems of Ordinary Differential Equations and SomeError Analysis
Attractive Multistep Reproducing Kernel Approach for Solving Stiffness Differential Systems of Ordinary Differential Equations and SomeError Analysis Open
In this paper, an efficient multi-step scheme is presented based on reproducing kernel Hilbert space (RKHS) theory for solving ordinary stiff differential systems. The solution methodology depends on reproducing kernel functions to obtain …
View article: Numerical solvability of generalized Bagley–Torvik fractional models under Caputo–Fabrizio derivative
Numerical solvability of generalized Bagley–Torvik fractional models under Caputo–Fabrizio derivative Open
This paper deals with the generalized Bagley–Torvik equation based on the concept of the Caputo–Fabrizio fractional derivative using a modified reproducing kernel Hilbert space treatment. The generalized Bagley–Torvik equation is studied a…
View article: Effective numerical technique for nonlinear Caputo-Fabrizio systems of fractional Volterra integro-differential equations in Hilbert space
Effective numerical technique for nonlinear Caputo-Fabrizio systems of fractional Volterra integro-differential equations in Hilbert space Open
View article: Computational algorithm for solving drug pharmacokinetic model under uncertainty with nonsingular kernel type Caputo-Fabrizio fractional derivative
Computational algorithm for solving drug pharmacokinetic model under uncertainty with nonsingular kernel type Caputo-Fabrizio fractional derivative Open
This paper proposes an advanced numerical-analytical approach for handling a class of fuzzy fractional differential equations involving Caputo-Fabrizio derivative with a non-singular kernel arsing in the medical sector. The solution method…
View article: On numerical approximation of Atangana-Baleanu-Caputo fractional integro-differential equations under uncertainty in Hilbert Space
On numerical approximation of Atangana-Baleanu-Caputo fractional integro-differential equations under uncertainty in Hilbert Space Open
Many dynamic systems can be modeled by fractional differential equations in which some external parameters occur under uncertainty. Although these parameters increase the complexity, they present more acceptable solutions. With the aid of …
View article: Modified analytical approach for generalized quadratic and cubic logistic models with Caputo-Fabrizio fractional derivative
Modified analytical approach for generalized quadratic and cubic logistic models with Caputo-Fabrizio fractional derivative Open
In this paper, a modified reproducing kernel algorithm is proposed to solve a class of quadratic and cubic logistic equations with Caputo-Fabrizio fractional derivative in Hilbert space. These equations are the generalization of Verhulst’s…
View article: Toward computational algorithm for time-fractional Fokker–Planck models
Toward computational algorithm for time-fractional Fokker–Planck models Open
This article describes an efficient algorithm based on residual power series to approximate the solution of a class of partial differential equations of time-fractional Fokker–Planck model. The fractional derivative is assumed in the Caput…
View article: Construction of fractional power series solutions to fractional stiff system using residual functions algorithm
Construction of fractional power series solutions to fractional stiff system using residual functions algorithm Open
View article: Two computational approaches for solving a fractional obstacle system in Hilbert space
Two computational approaches for solving a fractional obstacle system in Hilbert space Open
The primary motivation of this paper is to extend the application of the reproducing-kernel method (RKM) and the residual power series method (RPSM) to conduct a numerical investigation for a class of boundary value problems of fractional …
View article: Approximate Solutions of Second-Order Obstacle Problem of Fractional-order Using Reproducing Kernel Hilbert Space Method
Approximate Solutions of Second-Order Obstacle Problem of Fractional-order Using Reproducing Kernel Hilbert Space Method Open
View article: An application of fractional RPS approach to class of linear IVPs of order 2 \beta
An application of fractional RPS approach to class of linear IVPs of order 2 \beta Open