Existence and blow-up of solutions for fractional wave equations of Kirchhoff type with viscoelasticity
Discrete and Continuous Dynamical Systems - Series S, ISSN: 1937-1179, Vol: 14, Issue: 12, Page: 4609-4629
2021
- 2Citations
- 1Captures
Metric Options: Counts1 Year3 YearSelecting the 1-year or 3-year option will change the metrics count to percentiles, illustrating how an article or review compares to other articles or reviews within the selected time period in the same journal. Selecting the 1-year option compares the metrics against other articles/reviews that were also published in the same calendar year. Selecting the 3-year option compares the metrics against other articles/reviews that were also published in the same calendar year plus the two years prior.
Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Article Description
In this paper, we deal with the initial boundary value problem of the following fractional wave equation of Kirchhoff type 'Equation Presented' where M : [0, ∞) → (0, ∞) is a nondecreasing and continuous function, [u]a,2 is the Gagliardo-seminorm of u, (-Δ)and (-Δ)are the fractional Laplace operators, g : ℝ→ ℝis a positive nonincreasing function and λ is a parameter. First, the local and global existence of solutions are obtained by using the Galerkin method. Then the global nonexistence of solutions is discussed via blow-up analysis. Our results generalize and improve the existing results in the literature.
Bibliographic Details
American Institute of Mathematical Sciences (AIMS)
Provide Feedback
Have ideas for a new metric? Would you like to see something else here?Let us know