Yasser-Jassim Transform–Variational Framework for Solving Selected Fractional Partial Differential Equations
Year: 2026
Type: article
Abstract: The primary disinterested of this examination is to develop an innovative analytical technique for solving both linear and nonlinear fractional partial differential equations (FPDEs) by integrating the Variational Iteration Method (VIM) with the Yasser-Jassim Transform. This mixture approach utilises the strengths of both methods to convert fractional derivatives into algebraic forms, simplifying the solution procedure. The Yasser-Jassim Transform excels at handling fractional derivatives, while the Variational Iteration Method provides a solid foundation for developing iterative solutions. Some well-known equations serve to illustrate the validity and effectiveness of our integrated technique for treating FPDEs.
Source: مجلة العلوم الاساسية و التطبيقية
Author: Sameehah.alkaleeli Alkaleeli
Institution: University of Benghazi
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W7212379217