Solvability for a New Class of Moore-Gibson-Thompson Equation with Viscoelastic Memory, Source Terms, and Integral Condition
This paper deals with the existence and uniqueness of solutions of a new class of Moore-Gibson-Thompson equation with respect to the nonlocal mixed boundary value problem, source term, and nonnegative memory kernel. Galerkin’s method was the main used tool for proving our result. This work is a gene...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/9932354 |
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| _version_ | 1832563129899286528 |
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| author | Salah Mahmoud Boulaaras Abdelbaki Choucha Djamel Ouchenane Asma Alharbi Mohamed Abdalla Bahri Belkacem Cherif |
| author_facet | Salah Mahmoud Boulaaras Abdelbaki Choucha Djamel Ouchenane Asma Alharbi Mohamed Abdalla Bahri Belkacem Cherif |
| author_sort | Salah Mahmoud Boulaaras |
| collection | DOAJ |
| description | This paper deals with the existence and uniqueness of solutions of a new class of Moore-Gibson-Thompson equation with respect to the nonlocal mixed boundary value problem, source term, and nonnegative memory kernel. Galerkin’s method was the main used tool for proving our result. This work is a generalization of recent homogenous work. |
| format | Article |
| id | doaj-art-1208e17fed454587b3ce08ec528ffa57 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-1208e17fed454587b3ce08ec528ffa572025-02-03T01:20:50ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/99323549932354Solvability for a New Class of Moore-Gibson-Thompson Equation with Viscoelastic Memory, Source Terms, and Integral ConditionSalah Mahmoud Boulaaras0Abdelbaki Choucha1Djamel Ouchenane2Asma Alharbi3Mohamed Abdalla4Bahri Belkacem Cherif5Department of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Saudi ArabiaLaboratory of Operator Theory and PDEs: Foundations and Applications, Department of Mathematics, Faculty of Exact Sciences, University of El Oued, AlgeriaLaboratory of Pure and Applied Mathematics, Amar Teledji Laghouat University, AlgeriaDepartment of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Saudi ArabiaMathematics Department, College of Science, King Khalid University, Abha 61413, Saudi ArabiaDepartment of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Saudi ArabiaThis paper deals with the existence and uniqueness of solutions of a new class of Moore-Gibson-Thompson equation with respect to the nonlocal mixed boundary value problem, source term, and nonnegative memory kernel. Galerkin’s method was the main used tool for proving our result. This work is a generalization of recent homogenous work.http://dx.doi.org/10.1155/2021/9932354 |
| spellingShingle | Salah Mahmoud Boulaaras Abdelbaki Choucha Djamel Ouchenane Asma Alharbi Mohamed Abdalla Bahri Belkacem Cherif Solvability for a New Class of Moore-Gibson-Thompson Equation with Viscoelastic Memory, Source Terms, and Integral Condition Journal of Function Spaces |
| title | Solvability for a New Class of Moore-Gibson-Thompson Equation with Viscoelastic Memory, Source Terms, and Integral Condition |
| title_full | Solvability for a New Class of Moore-Gibson-Thompson Equation with Viscoelastic Memory, Source Terms, and Integral Condition |
| title_fullStr | Solvability for a New Class of Moore-Gibson-Thompson Equation with Viscoelastic Memory, Source Terms, and Integral Condition |
| title_full_unstemmed | Solvability for a New Class of Moore-Gibson-Thompson Equation with Viscoelastic Memory, Source Terms, and Integral Condition |
| title_short | Solvability for a New Class of Moore-Gibson-Thompson Equation with Viscoelastic Memory, Source Terms, and Integral Condition |
| title_sort | solvability for a new class of moore gibson thompson equation with viscoelastic memory source terms and integral condition |
| url | http://dx.doi.org/10.1155/2021/9932354 |
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