Existence results of self-similar solutions to the Caputo-type's space-fractional heat equation
This paper investigates the problem of existence and uniqueness of solutions under the self-similar forms to the space-fractional heat equation. By applying the properties of Banach's fixed point theorems, Schauder's fixed point theorem and the nonlinear alternative of Leray-Schauder type,...
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| Format: | Article |
| Language: | English |
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University Constantin Brancusi of Targu-Jiu
2020-02-01
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| Series: | Surveys in Mathematics and its Applications |
| Subjects: | |
| Online Access: | http://www.utgjiu.ro/math/sma/v15/p15_03.pdf |
| _version_ | 1828288309315502080 |
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| author | Bilal Basti Noureddine Benhamidouche |
| author_facet | Bilal Basti Noureddine Benhamidouche |
| author_sort | Bilal Basti |
| collection | DOAJ |
| description | This paper investigates the problem of existence and uniqueness of solutions under the self-similar forms to the space-fractional heat equation. By applying the properties of Banach's fixed point theorems, Schauder's fixed point theorem and the nonlinear alternative of Leray-Schauder type, we establish several results on the existence and uniqueness of self-similar solutions to this equation. |
| first_indexed | 2024-04-13T10:02:16Z |
| format | Article |
| id | doaj.art-dedb387f85d84b9288226853eda54151 |
| institution | Directory Open Access Journal |
| issn | 1843-7265 1842-6298 |
| language | English |
| last_indexed | 2024-04-13T10:02:16Z |
| publishDate | 2020-02-01 |
| publisher | University Constantin Brancusi of Targu-Jiu |
| record_format | Article |
| series | Surveys in Mathematics and its Applications |
| spelling | doaj.art-dedb387f85d84b9288226853eda541512022-12-22T02:51:13ZengUniversity Constantin Brancusi of Targu-JiuSurveys in Mathematics and its Applications1843-72651842-62982020-02-0115 (2020)153168Existence results of self-similar solutions to the Caputo-type's space-fractional heat equationBilal Basti0Noureddine Benhamidouche1Laboratory for Pure and Applied Mathematics, University of Mohamed Boudiaf M'sila, Algeria, Professor in Department of Mathematics, University of Ziane Achour Djelfa, 17000, Algeria.Laboratory for Pure and Applied Mathematics, University of Mohamed Boudiaf M'sila, Algeria.This paper investigates the problem of existence and uniqueness of solutions under the self-similar forms to the space-fractional heat equation. By applying the properties of Banach's fixed point theorems, Schauder's fixed point theorem and the nonlinear alternative of Leray-Schauder type, we establish several results on the existence and uniqueness of self-similar solutions to this equation.http://www.utgjiu.ro/math/sma/v15/p15_03.pdfspace-fractional heat equationself-similar solutionsexistenceuniqueness |
| spellingShingle | Bilal Basti Noureddine Benhamidouche Existence results of self-similar solutions to the Caputo-type's space-fractional heat equation Surveys in Mathematics and its Applications space-fractional heat equation self-similar solutions existence uniqueness |
| title | Existence results of self-similar solutions to the Caputo-type's space-fractional heat equation |
| title_full | Existence results of self-similar solutions to the Caputo-type's space-fractional heat equation |
| title_fullStr | Existence results of self-similar solutions to the Caputo-type's space-fractional heat equation |
| title_full_unstemmed | Existence results of self-similar solutions to the Caputo-type's space-fractional heat equation |
| title_short | Existence results of self-similar solutions to the Caputo-type's space-fractional heat equation |
| title_sort | existence results of self similar solutions to the caputo type s space fractional heat equation |
| topic | space-fractional heat equation self-similar solutions existence uniqueness |
| url | http://www.utgjiu.ro/math/sma/v15/p15_03.pdf |
| work_keys_str_mv | AT bilalbasti existenceresultsofselfsimilarsolutionstothecaputotypesspacefractionalheatequation AT noureddinebenhamidouche existenceresultsofselfsimilarsolutionstothecaputotypesspacefractionalheatequation |