Novel numerical investigations of fuzzy Cauchy reaction–diffusion models via generalized fuzzy fractional derivative operators

MA Alqudah, R Ashraf, S Rashid, J Singh… - Fractal and …, 2021 - mdpi.com
The present research correlates with a fuzzy hybrid approach merged with a homotopy
perturbation transform method known as the fuzzy Shehu homotopy perturbation transform …

Chebyshev spectral method for solving fuzzy fractional Fredholm–Volterra integro-differential equation

S Kumar, JJ Nieto, B Ahmad - Mathematics and Computers in Simulation, 2022 - Elsevier
The fuzzy integral equation is used to model many physical phenomena which arise in many
fields like chemistry, physics, and biology, etc. In this article, we emphasize on mathematical …

New Solutions of Fuzzy‐Fractional Fisher Models via Optimal He–Laplace Algorithm

M Qayyum, A Tahir, S Acharya - International Journal of …, 2023 - Wiley Online Library
Fuzzy differential equations have gained significant attention in recent years due to their
ability to model complex systems in the presence of uncertainty or imprecise information …

Fourth-order numerical solutions for a fuzzy time-fractional convection–diffusion equation under Caputo generalized hukuhara derivative

H Zureigat, M Al-Smadi, A Al-Khateeb, S Al-Omari… - Fractal and …, 2022 - mdpi.com
The fuzzy fractional differential equation explains more complex real-world phenomena than
the fractional differential equation does. Therefore, numerous techniques have been timely …

Homotopy analysis Shehu transform method for solving fuzzy differential equations of fractional and integer order derivatives

S Maitama, W Zhao - Computational and Applied Mathematics, 2021 - Springer
In this paper, we propose the fuzzy Shehu transform method (FSTM) using Zadeh's
decomposition theorem and fuzzy Riemann integral of real-valued functions on finite …

An application of variational iteration method for solving fuzzy time-fractional diffusion equations

S Kumar, V Gupta - Neural Computing and Applications, 2021 - Springer
In this paper, an approximate solution based on the variational iteration method is given to
solve the fuzzy time-fractional diffusion equations. The time-fractional derivative is taken in …

Numerical solution of fuzzy fractional diffusion equation by Chebyshev spectral method

S Kumar - Numerical Methods for Partial Differential Equations, 2022 - Wiley Online Library
In this article, we will study the fuzzy fractional advection diffusion model in which both space
and time are fractional. This model has fuzzy unknown function, fuzzy coefficient and fuzzy …

Numerical solutions of fuzzy time fractional advection‐diffusion equations in double parametric form of fuzzy number

H Zureigat, AI Ismail… - Mathematical Methods in …, 2021 - Wiley Online Library
Fractional partial differential equations are a generalization of classical partial differential
equations which can, in certain circumstances, give a better description of certain …

Fractional fuzzy model of advection-reaction-diffusion equation with application in porous media

S Kumar - Journal of Porous Media, 2022 - dl.begellhouse.com
In this present article, a model of the fractional diffusion equation in a fuzzy environment is
studied with both singular and nonsingular kernels with a Mittag-Leffler kernel. In this model …

A compact Crank–Nicholson scheme for the numerical solution of fuzzy time fractional diffusion equations

H Zureigat, AI Ismail, S Sathasivam - Neural Computing and Applications, 2020 - Springer
Fuzzy fractional partial differential equations are a generalization of classical fuzzy partial
differential equation which can, in certain circumstances, provide a better explanation for …