Numerical Solution of Time Fractional Klein-Gordon Equation in Framework of the Yang-Abdel-Cattani Fractional Derivative Operator
Year: 2024
Type: article
Abstract: This paper investigates the analytical results of both linear and nonlinear time-fractional KleinGordon equations using the novel Yang-Abdel-Cattani derivative operator. In order to solve the proposed time-fractional Klein-Gordon equations, we applied the Laplace Adomian decomposition technique. The effectiveness of this operator is demonstrated through three test problems. These include both linear and nonlinear time-fractional Klein-Gordon equations. Furthermore, the influence of different fractional Brownian motion values on the solution profiles is analyzed and presented graphically
DOI: 10.62298/advmath.12
Author: Minilik Ayalew
Institution: Samara University
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4405957311