A new method for solving sequential fractional wave equations
Document Type
Article
Publication Date
7-1-2023
Abstract
In this article, we focus on two classes of fractional wave equations in the context of the sequential Caputo derivative. For the first class, we derive the closed-form solution in terms of generalized Mittag-Leffler functions. Subsequently, we consider a more general class of nonhomogeneous fractional wave equations. Due to the complexity of finding exact solutions for these problems, we employ a numerical technique based on the operational matrix method to approximate the solution. We provide several theoretical and numerical examples to validate the effectiveness of this numerical approach. The results demonstrate the accuracy and efficiency of the proposed method.
Keywords
Fractional wave equations, Sequential Caputo derivative
Divisions
MathematicalSciences
Funders
None
Publication Title
Journal of Mathematics
Volume
2023
Publisher
Wiley
Publisher Location
111 RIVER ST, HOBOKEN 07030-5774, NJ USA