Remarks on the Initial and Terminal Value Problem for Time and Space Fractional Diffusion Equation
The fractional problem for partial differential equation has many applications in science and technology. The main objective of the paper is to investigate the convergence of the mild solution of the diffusion equation with time and space fractional. We consider the problem in two cases which are fo...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/1938290 |
| _version_ | 1811182701988806656 |
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| author | Hoang Luc Nguyen |
| author_facet | Hoang Luc Nguyen |
| author_sort | Hoang Luc Nguyen |
| collection | DOAJ |
| description | The fractional problem for partial differential equation has many applications in science and technology. The main objective of the paper is to investigate the convergence of the mild solution of the diffusion equation with time and space fractional. We consider the problem in two cases which are forward problem and inverse problem. We use new techniques to overcome some of the complex assessments. |
| first_indexed | 2024-04-11T09:36:09Z |
| format | Article |
| id | doaj.art-eeccdf8276a24bd18d66fdecd85fdb75 |
| institution | Directory Open Access Journal |
| issn | 2314-8888 |
| language | English |
| last_indexed | 2024-04-11T09:36:09Z |
| publishDate | 2022-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj.art-eeccdf8276a24bd18d66fdecd85fdb752022-12-22T04:31:43ZengHindawi LimitedJournal of Function Spaces2314-88882022-01-01202210.1155/2022/1938290Remarks on the Initial and Terminal Value Problem for Time and Space Fractional Diffusion EquationHoang Luc Nguyen0Division of Applied MathematicsThe fractional problem for partial differential equation has many applications in science and technology. The main objective of the paper is to investigate the convergence of the mild solution of the diffusion equation with time and space fractional. We consider the problem in two cases which are forward problem and inverse problem. We use new techniques to overcome some of the complex assessments.http://dx.doi.org/10.1155/2022/1938290 |
| spellingShingle | Hoang Luc Nguyen Remarks on the Initial and Terminal Value Problem for Time and Space Fractional Diffusion Equation Journal of Function Spaces |
| title | Remarks on the Initial and Terminal Value Problem for Time and Space Fractional Diffusion Equation |
| title_full | Remarks on the Initial and Terminal Value Problem for Time and Space Fractional Diffusion Equation |
| title_fullStr | Remarks on the Initial and Terminal Value Problem for Time and Space Fractional Diffusion Equation |
| title_full_unstemmed | Remarks on the Initial and Terminal Value Problem for Time and Space Fractional Diffusion Equation |
| title_short | Remarks on the Initial and Terminal Value Problem for Time and Space Fractional Diffusion Equation |
| title_sort | remarks on the initial and terminal value problem for time and space fractional diffusion equation |
| url | http://dx.doi.org/10.1155/2022/1938290 |
| work_keys_str_mv | AT hoanglucnguyen remarksontheinitialandterminalvalueproblemfortimeandspacefractionaldiffusionequation |