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- Title
Cauchy problem for Jordan-Moore-Gibson-Thompson equations of nonlinear acoustics with fractional operators.
- Authors
Djemiat, Rabah; Basti, Bilal; Benhamidouche, Noureddine
- Abstract
In this paper, we examine the existence and uniqueness of solutions under the traveling wave forms for a free boundary Cauchy problem of space-fractional Jordan-Moore-Gibson-Thompson equations of nonlinear acoustics, which describe sound propagation in thermo-viscous elastic terms. It does so by applying the properties of Schauder's and Banach's fixed point theorems, while Caputo's fractional derivative is used as the differential operator. For application purposes, some examples of explicit solutions are provided to demonstrate the usefulness of our main results.
- Subjects
CAUCHY problem; NONLINEAR acoustics; OPERATOR algebras; BANACH algebras; BANACH spaces
- Publication
Analele Ştiinţifice ale Universităţii 'Al.I. Cuza' din Iaşi. Matematică, 2023, Vol 69, Issue 2, p143
- ISSN
1221-8421
- Publication type
Article
- DOI
10.47743/anstim.2023.00010