Spline collocation methods for systems of fuzzy fractional differential equations

Z Alijani, D Baleanu, B Shiri, GC Wu - Chaos, Solitons & Fractals, 2020 - Elsevier
In this paper, systems of fuzzy fractional differential equations with a lateral type of the
Hukuhara derivative and the generalized Hukuhara derivative are numerically studied …

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 …

Fuzzy numerical solution via finite difference scheme of wave equation in double parametrical fuzzy number form

M Almutairi, H Zureigat, A Izani Ismail… - Mathematics, 2021 - mdpi.com
The use of fuzzy partial differential equations has become an important tool in which
uncertainty or vagueness exists to model real-life problems. In this article, two numerical …

Analysis of interface fusion effect between old and new asphalt under plant mixing and cold recycling mode based on molecular dynamics simulation

P Zhou, W Wang, Z Yu - Materials, 2021 - mdpi.com
Road construction consumes a lot of resources and produces a lot of waste and other
pollutants. With the emergence of a resource and energy crisis, how to make efficient use of …

An in-depth examination of the fuzzy fractional cancer tumor model and its numerical solution by implicit finite difference method

H Zureigat, S Alshammari, M Alshammari, M Al-Smadi… - PloS one, 2024 - journals.plos.org
The cancer tumor model serves asa crucial instrument for understanding the behavior of
different cancer tumors. Researchers have employed fractional differential equations to …

Fuzzy analysis of 2-D wave equation through Hukuhara differentiability coupled with AOS technique

M Usman, HU Khan, K Shah, B Abdalla, N Mlaiki… - Heliyon, 2024 - cell.com
The research article in hand provides a new mechanism that deals with the investigation of
the triangular analytical fuzzy solutions (TAFS) of the two-dimensional fuzzy fractional order …

Generalized Hukuhara conformable fractional derivative and its application to fuzzy fractional partial differential equations

M Ghaffari, T Allahviranloo, S Abbasbandy, M Azhini - Soft Computing, 2022 - Springer
The main focus of this paper is to develop an efficient analytical method to obtain the
traveling wave fuzzy solution for the fuzzy generalized Hukuhara conformable fractional …

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 …

A Solution of Complex Fuzzy Time-Fractional Heat Equation by an Explicit Scheme

H Zureigat, S Al-Omari, M Al-Smadi… - … Differentiation and Its …, 2023 - ieeexplore.ieee.org
Recently, complex fuzzy sets have become a powerful tool for expanding the range of fuzzy
sets that are located in a unit disk within complex plane. In this article, the complex fuzzy …