[HTML][HTML] 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 …

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 …

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 …

[HTML][HTML] A fuzzy fractional power series approximation and taylor expansion for solving fuzzy fractional differential equation

P Singh, KH Gazi, M Rahaman, S Salahshour… - Decision Analytics …, 2024 - Elsevier
Fuzzy fractional differential has the strength to capture the senses of memory and
uncertainty simultaneously involved in dynamical systems. However, a solution for fuzzy …

Fibonacci wavelet method for time fractional convection–diffusion equations

P Yadav, S Jahan, KS Nisar - Mathematical Methods in the …, 2024 - Wiley Online Library
This study concentrates on time fractional convection–diffusion equations (TFCDEs) with
variable coefficients and their numerical solutions. Caputo derivative is used to calculate the …

[HTML][HTML] Approximation solution for fuzzy fractional-order partial differential equations

M Osman, A Almahi, OA Omer, AM Mustafa… - Fractal and …, 2022 - mdpi.com
In this article, the authors study the comparison of the generalization differential transform
method (DTM) and fuzzy variational iteration method (VIM) applied to determining the …

Approximate solution of time-fractional fuzzy partial differential equations

M Senol, S Atpinar, Z Zararsiz, S Salahshour… - Computational and …, 2019 - Springer
In this study, we develop perturbation–iteration algorithm (PIA) for numerical solutions of
some types of fuzzy fractional partial differential equations (FFPDEs) with generalized …

[HTML][HTML] Semi-analytical solutions for fuzzy Caputo–Fabrizio fractional-order two-dimensional heat equation

T Sitthiwirattham, M Arfan, K Shah, A Zeb, S Djilali… - Fractal and …, 2021 - mdpi.com
In the analysis in this article, we developed a scheme for the computation of a semi-
analytical solution to a fuzzy fractional-order heat equation of two dimensions having some …

Fractional-Lucas optimization method for evaluating the approximate solution of the multi-dimensional fractional differential equations

H Dehestani, Y Ordokhani, M Razzaghi - Engineering with Computers, 2022 - Springer
The paper investigates the numerical solution of the multi-dimensional fractional differential
equations by applying fractional-Lucas functions (FLFs) and an optimization method. First …

An efficient computational approach for nonlinear variable order fuzzy fractional partial differential equations

P Pandey, J Singh - Computational and Applied Mathematics, 2022 - Springer
This research work employs the Bernstein spectral technique based on Bernstein
polynomials to analyze and to obtain the approximate numerical solution of a class of …