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Solving a time-fractional semilinear hyperbolic equations by Fourier truncation with boundary conditions.
- Source :
-
Chaos, Solitons & Fractals . Aug2024, Vol. 185, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- In this paper, we discuss a pioneering contribution in the field by addressing, for the first time, the Cauchy problem associated with fractional semilinear hyperbolic equations of order α ∈ (1 , 2) , involving a general form of fractional derivative. Introducing an a priori assumption on the solution, we advocate the application of the Fourier truncation method to address the inherent ill-posed nature of the problem. Furthermore, we establish a stability estimate of logarithmic type. • We discuss a pioneering contribution in the field by addressing, for the first time, the Cauchy problem associated with fractional semilinear hyperbolic equations of order α ∈ (1 , 2) , involving a general form of fractional derivative. • Introducing an a priori assumption on the solution, we advocate the application of the Fourier truncation method to address the inherent ill-posed nature of the problem. • We establish a stability estimate of logarithmic type. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09600779
- Volume :
- 185
- Database :
- Academic Search Index
- Journal :
- Chaos, Solitons & Fractals
- Publication Type :
- Periodical
- Accession number :
- 178479887
- Full Text :
- https://doi.org/10.1016/j.chaos.2024.115086