Semi-analytical Analysis of Advection Dispersion and Parabolic Time-fractional Fuzzy Models by Using the Fractional Variational Iterative Method
Year: 2025
Type: article
Abstract: Uncertainty in parameters is handled through fuzzy differential models, while their solution can elaborate on their stability. Iterative methods are powerful tools to express the approximate solution up to a finite order of iteration; therefore, here we are analyzing two renowned time-fractional fuzzy differential equation models, advection dispersion and parabolic, through the fractional variational iterative method (FVIM). In the meanwhile Riemann-Liouville fractional integral is used to evaluate the time-fractional order derivative. Exact solution of advection dispersion equation in the form of Mittag-Leffler function for integer order is obtained, and other approximate solutions for non-integer derivatives are also discussed, while the exact solution of parabolic equation is also obtained in the form of Mittag-Leffler function. All numerical results for both time-fractional fuzzy partial differential equation models are discussed and compared with existing solutions. Moreover, numerical solutions of non-integer derivatives are also obtained.
Source: Journal of Science and Arts
Authors: NAJAM UL BASAT, MAHMOONA ASGHAR
Institution: Grand Asian University, Sialkot
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4415808114