Using the Fractional Characteristic Method in Practice to Determine the Precise Solution of Fractional Partial Differential Equations
DOI:
https://doi.org/10.48165/gjs.2026.3108Keywords:
Fractional Partial Differential Equation, Fractional Characteristic Method Riemann-Liouville Operators, Analytical Solutions, Numerical SolutionAbstract
An effective technique for analytically resolving fractional partial differential equations (FPDEs) is the analytic Fractional Characteristic Method (FCM). In this work, we examine the applicability of the FCM to several FPDEs and demonstrate their efficacy in solving them accurately. We go over the key components of the FCM and its advantages over other numerical and analytical techniques. According to our research, the FCM is a dependable and efficient technique for solving FPDEs, and it has the potential to be used in a variety of technological and scientific fields. Researchers and practitioners interested in using the FCM to find precise solutions to FPDEs can refer to the work’s outcomes, accurate soliton solutions for many applications, which are essential to engineering, optical communications, and nonlinear optics.
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