Analytical studies on the global existence and blow-up of solutions for a free boundary problem of two-dimensional diffusion equations of moving fractional order
This paper particularly addresses and discusses some analytical studies on the existence and uniqueness of global or blow-up solutions under the traveling profile forms for a free boundary problem of two-dimensional diffusion equations of moving fractional order. It does so by applying the propert...
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| Format: | Article |
| Language: | English |
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ATNAA
2022-03-01
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| Series: | Advances in the Theory of Nonlinear Analysis and its Applications |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/2111315 |
| _version_ | 1797912273097850880 |
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| author | Rabah Djemiat Bilal Basti Noureddine Benhamidouche |
| author_facet | Rabah Djemiat Bilal Basti Noureddine Benhamidouche |
| author_sort | Rabah Djemiat |
| collection | DOAJ |
| description | This paper particularly addresses and discusses some analytical studies on the existence and uniqueness of
global or blow-up solutions under the traveling profile forms for a free boundary problem of two-dimensional
diffusion equations of moving fractional order. It does so by applying the properties of Schauder's and
Banach's fixed point theorems. For application purposes, some examples of explicit solutions are provided
to demonstrate the usefulness of our main results.
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| first_indexed | 2024-04-10T11:53:54Z |
| format | Article |
| id | doaj.art-94e281e0e69b4c66ae65ed5b1d92b41b |
| institution | Directory Open Access Journal |
| issn | 2587-2648 |
| language | English |
| last_indexed | 2024-04-10T11:53:54Z |
| publishDate | 2022-03-01 |
| publisher | ATNAA |
| record_format | Article |
| series | Advances in the Theory of Nonlinear Analysis and its Applications |
| spelling | doaj.art-94e281e0e69b4c66ae65ed5b1d92b41b2023-02-15T16:16:55ZengATNAAAdvances in the Theory of Nonlinear Analysis and its Applications2587-26482022-03-016328729910.31197/atnaa.1031436Analytical studies on the global existence and blow-up of solutions for a free boundary problem of two-dimensional diffusion equations of moving fractional orderRabah DjemiatBilal BastiNoureddine BenhamidoucheThis paper particularly addresses and discusses some analytical studies on the existence and uniqueness of global or blow-up solutions under the traveling profile forms for a free boundary problem of two-dimensional diffusion equations of moving fractional order. It does so by applying the properties of Schauder's and Banach's fixed point theorems. For application purposes, some examples of explicit solutions are provided to demonstrate the usefulness of our main results. https://dergipark.org.tr/tr/download/article-file/2111315fractional diffusionmoving fractional orderfree boundaryblow-upglobal existenceuniqueness |
| spellingShingle | Rabah Djemiat Bilal Basti Noureddine Benhamidouche Analytical studies on the global existence and blow-up of solutions for a free boundary problem of two-dimensional diffusion equations of moving fractional order Advances in the Theory of Nonlinear Analysis and its Applications fractional diffusion moving fractional order free boundary blow-up global existence uniqueness |
| title | Analytical studies on the global existence and blow-up of solutions for a free boundary problem of two-dimensional diffusion equations of moving fractional order |
| title_full | Analytical studies on the global existence and blow-up of solutions for a free boundary problem of two-dimensional diffusion equations of moving fractional order |
| title_fullStr | Analytical studies on the global existence and blow-up of solutions for a free boundary problem of two-dimensional diffusion equations of moving fractional order |
| title_full_unstemmed | Analytical studies on the global existence and blow-up of solutions for a free boundary problem of two-dimensional diffusion equations of moving fractional order |
| title_short | Analytical studies on the global existence and blow-up of solutions for a free boundary problem of two-dimensional diffusion equations of moving fractional order |
| title_sort | analytical studies on the global existence and blow up of solutions for a free boundary problem of two dimensional diffusion equations of moving fractional order |
| topic | fractional diffusion moving fractional order free boundary blow-up global existence uniqueness |
| url | https://dergipark.org.tr/tr/download/article-file/2111315 |
| work_keys_str_mv | AT rabahdjemiat analyticalstudiesontheglobalexistenceandblowupofsolutionsforafreeboundaryproblemoftwodimensionaldiffusionequationsofmovingfractionalorder AT bilalbasti analyticalstudiesontheglobalexistenceandblowupofsolutionsforafreeboundaryproblemoftwodimensionaldiffusionequationsofmovingfractionalorder AT noureddinebenhamidouche analyticalstudiesontheglobalexistenceandblowupofsolutionsforafreeboundaryproblemoftwodimensionaldiffusionequationsofmovingfractionalorder |