Usage of the Fuzzy Adomian Decomposition Method for Solving Some Fuzzy Fractional Partial Differential Equations
In this study, we examine the numerical solutions of nonlinear fuzzy fractional partial differential equations under the Caputo derivative utilizing the technique of fuzzy Adomian decomposition. This technique is used as an alternative method for obtaining approximate fuzzy solutions to various type...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2024-01-01
|
| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2024/8794634 |
| _version_ | 1797356395910135808 |
|---|---|
| author | Nagwa A. Saeed Deepak B. Pachpatte |
| author_facet | Nagwa A. Saeed Deepak B. Pachpatte |
| author_sort | Nagwa A. Saeed |
| collection | DOAJ |
| description | In this study, we examine the numerical solutions of nonlinear fuzzy fractional partial differential equations under the Caputo derivative utilizing the technique of fuzzy Adomian decomposition. This technique is used as an alternative method for obtaining approximate fuzzy solutions to various types of fractional differential equations and also investigated some new existence and uniqueness results of fuzzy solutions. Some examples are given to support the effectiveness of the proposed technique. We present the numerical results in graphical form for different values of fractional order and uncertainty γ∈0,1. |
| first_indexed | 2024-03-08T14:26:59Z |
| format | Article |
| id | doaj.art-43a928814f9d41c0abc6aed64cb9d05a |
| institution | Directory Open Access Journal |
| issn | 1687-711X |
| language | English |
| last_indexed | 2024-03-08T14:26:59Z |
| publishDate | 2024-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj.art-43a928814f9d41c0abc6aed64cb9d05a2024-01-13T00:00:02ZengHindawi LimitedAdvances in Fuzzy Systems1687-711X2024-01-01202410.1155/2024/8794634Usage of the Fuzzy Adomian Decomposition Method for Solving Some Fuzzy Fractional Partial Differential EquationsNagwa A. Saeed0Deepak B. Pachpatte1Department of MathematicsDepartment of MathematicsIn this study, we examine the numerical solutions of nonlinear fuzzy fractional partial differential equations under the Caputo derivative utilizing the technique of fuzzy Adomian decomposition. This technique is used as an alternative method for obtaining approximate fuzzy solutions to various types of fractional differential equations and also investigated some new existence and uniqueness results of fuzzy solutions. Some examples are given to support the effectiveness of the proposed technique. We present the numerical results in graphical form for different values of fractional order and uncertainty γ∈0,1.http://dx.doi.org/10.1155/2024/8794634 |
| spellingShingle | Nagwa A. Saeed Deepak B. Pachpatte Usage of the Fuzzy Adomian Decomposition Method for Solving Some Fuzzy Fractional Partial Differential Equations Advances in Fuzzy Systems |
| title | Usage of the Fuzzy Adomian Decomposition Method for Solving Some Fuzzy Fractional Partial Differential Equations |
| title_full | Usage of the Fuzzy Adomian Decomposition Method for Solving Some Fuzzy Fractional Partial Differential Equations |
| title_fullStr | Usage of the Fuzzy Adomian Decomposition Method for Solving Some Fuzzy Fractional Partial Differential Equations |
| title_full_unstemmed | Usage of the Fuzzy Adomian Decomposition Method for Solving Some Fuzzy Fractional Partial Differential Equations |
| title_short | Usage of the Fuzzy Adomian Decomposition Method for Solving Some Fuzzy Fractional Partial Differential Equations |
| title_sort | usage of the fuzzy adomian decomposition method for solving some fuzzy fractional partial differential equations |
| url | http://dx.doi.org/10.1155/2024/8794634 |
| work_keys_str_mv | AT nagwaasaeed usageofthefuzzyadomiandecompositionmethodforsolvingsomefuzzyfractionalpartialdifferentialequations AT deepakbpachpatte usageofthefuzzyadomiandecompositionmethodforsolvingsomefuzzyfractionalpartialdifferentialequations |