Adomian Decomposition and Fractional Power Series Solution of a Class of Nonlinear Fractional Differential Equations
Nonlinear fractional differential equations reflect the true nature of physical and biological models with non-locality and memory effects. This paper considers nonlinear fractional differential equations with unknown analytical solutions. The Adomian decomposition and the fractional power series me...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-05-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/9/1070 |
| _version_ | 1797534734575730688 |
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| author | Pshtiwan Othman Mohammed José António Tenreiro Machado Juan L. G. Guirao Ravi P. Agarwal |
| author_facet | Pshtiwan Othman Mohammed José António Tenreiro Machado Juan L. G. Guirao Ravi P. Agarwal |
| author_sort | Pshtiwan Othman Mohammed |
| collection | DOAJ |
| description | Nonlinear fractional differential equations reflect the true nature of physical and biological models with non-locality and memory effects. This paper considers nonlinear fractional differential equations with unknown analytical solutions. The Adomian decomposition and the fractional power series methods are adopted to approximate the solutions. The two approaches are illustrated and compared by means of four numerical examples. |
| first_indexed | 2024-03-10T11:34:39Z |
| format | Article |
| id | doaj.art-6ed6ecca913742e48ed40c9bb5a38232 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T11:34:39Z |
| publishDate | 2021-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-6ed6ecca913742e48ed40c9bb5a382322023-11-21T19:00:12ZengMDPI AGMathematics2227-73902021-05-0199107010.3390/math9091070Adomian Decomposition and Fractional Power Series Solution of a Class of Nonlinear Fractional Differential EquationsPshtiwan Othman Mohammed0José António Tenreiro Machado1Juan L. G. Guirao2Ravi P. Agarwal3Department of Mathematics, College of Education, University of Sulaimani, Sulaimani 46001, Kurdistan Region, IraqInstitute of Engineering, Polytechnic of Porto, Department of Electrical Engineering, Rua Dr. António Bernardino de Almeida, 431, 4249-015 Porto, PortugalDepartment of Applied Mathematics and Statistics, Technical University of Cartagena, Hospital de Marina, 30203 Cartagena, SpainDepartment of Mathematics, Texas A & M University-Kingsville, Kingsville, TX 78363, USANonlinear fractional differential equations reflect the true nature of physical and biological models with non-locality and memory effects. This paper considers nonlinear fractional differential equations with unknown analytical solutions. The Adomian decomposition and the fractional power series methods are adopted to approximate the solutions. The two approaches are illustrated and compared by means of four numerical examples.https://www.mdpi.com/2227-7390/9/9/1070Adomian decomposition methodfractional power series methodnonlinear fractional differential equations |
| spellingShingle | Pshtiwan Othman Mohammed José António Tenreiro Machado Juan L. G. Guirao Ravi P. Agarwal Adomian Decomposition and Fractional Power Series Solution of a Class of Nonlinear Fractional Differential Equations Mathematics Adomian decomposition method fractional power series method nonlinear fractional differential equations |
| title | Adomian Decomposition and Fractional Power Series Solution of a Class of Nonlinear Fractional Differential Equations |
| title_full | Adomian Decomposition and Fractional Power Series Solution of a Class of Nonlinear Fractional Differential Equations |
| title_fullStr | Adomian Decomposition and Fractional Power Series Solution of a Class of Nonlinear Fractional Differential Equations |
| title_full_unstemmed | Adomian Decomposition and Fractional Power Series Solution of a Class of Nonlinear Fractional Differential Equations |
| title_short | Adomian Decomposition and Fractional Power Series Solution of a Class of Nonlinear Fractional Differential Equations |
| title_sort | adomian decomposition and fractional power series solution of a class of nonlinear fractional differential equations |
| topic | Adomian decomposition method fractional power series method nonlinear fractional differential equations |
| url | https://www.mdpi.com/2227-7390/9/9/1070 |
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