A solution of the complex fuzzy heat equation in terms of complex dirichlet conditions using a modified crank–nicolson method

H Zureigat, MA Tashtoush, AFA Jassar… - Advances in …, 2023 - Wiley Online Library
Complex fuzzy sets (CFSs) have recently emerged as a potent tool for expanding the scope
of fuzzy sets to encompass wider ranges within the unit disk in the complex plane. This study …

Numerical solution for fuzzy time-fractional cancer tumor model with a time-dependent net killing rate of cancer cells

H Zureigat, M Al-Smadi, A Al-Khateeb… - International Journal of …, 2023 - mdpi.com
Simple Summary One of the most recognized phenomena is the cancer tumor which
uncontrollably grows in human cells and spreads over the other parts of the body. It spreads …

Traveling wave solutions for time-fractional mKdV-ZK equation of weakly nonlinear ion-acoustic waves in magnetized electron–positron plasma

M Alabedalhadi, S Al-Omari, M Al-Smadi, S Alhazmi - Symmetry, 2023 - mdpi.com
In this paper, we discuss the time-fractional mKdV-ZK equation, which is a kind of physical
model, developed for plasma of hot and cool electrons and some fluid ions. Based on the …

Distinctive Shape Functions of Fractional Differential Quadrature for Solving Two-Dimensional Space Fractional Diffusion Problems

A Mustafa, O Ragb, M Salah, RS Salama… - Fractal and …, 2023 - mdpi.com
The aim of this study is to utilize a differential quadrature method with various kernels, such
as Lagrange interpolation and discrete singular convolution, to tackle problems related to …

[PDF][PDF] Numerical Solution of Fuzzy Heat Equation with Complex Dirichlet Conditions

H Zureigat, A Al-khateeb, E Abuteen… - … Journal of Fuzzy …, 2023 - researchgate.net
Recently, complex fuzzy sets have become powerful tools for generalizing the range of fuzzy
sets to wider ranges that lie on a unit disk in the complex plane. In this study, complex fuzzy …

Mathematical modeling of cancer tumor dynamics with multiple fuzzification approaches in fractional environment

M Qayyum, A Tahir - 2023 - Springer
Cancer progression arises from the accumulation of genetic mutations in cell proliferation
control genes. To efficiently treat these defected cells and restrict their proliferation …

Leray–Schauder Alternative for the Existence of Solutions of a Modified Coupled System of Caputo Fractional Differential Equations with Two Point's Integral …

A Al-Khateeb, H Zureigat, K Abuasbeh, E Fadhal - Symmetry, 2023 - mdpi.com
In this paper, a coupled system of differential equations involving fractional order with
integral boundary conditions is discussed. In the problem at hand, three main aspects that …

Efficient Numerical Solutions for Fuzzy Time Fractional Diffusion Equations Using Two Explicit Compact Finite Difference Methods

B Batiha - Computation, 2024 - mdpi.com
This article introduces an extension of classical fuzzy partial differential equations, known as
fuzzy fractional partial differential equations. These equations provide a better explanation …

Efficient Numerical Solutions for Fuzzy Time Fractional Convection Diffusion Equations Using Two Explicit Finite Difference Methods

A Al-Khateeb - Axioms, 2024 - mdpi.com
In this study, we explore fractional partial differential equations as a more generalized
version of classical partial differential equations. These fractional equations have shown …

[PDF][PDF] Improving Numerical Solutions for the Generalized Huxley Equation: The New Iterative Method (NIM)

B Batiha, A Al-khateeb, H Zureigat - Appl. Math, 2023 - naturalspublishing.com
The focus of our research was to address the generalized Huxley equation using the
recently developed iterative method called the new iterative method (NIM). Our study …