Application of Natural Transform Method to Fractional Pantograph Delay Differential Equations
In this paper, a new method based on combination of the natural transform method (NTM), Adomian decomposition method (ADM), and coefficient perturbation method (CPM) which is called “perturbed decomposition natural transform method” (PDNTM) is implemented for solving fractional pantograph delay diff...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2019/3913840 |
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| author | M. Valizadeh Y. Mahmoudi F. Dastmalchi Saei |
| author_facet | M. Valizadeh Y. Mahmoudi F. Dastmalchi Saei |
| author_sort | M. Valizadeh |
| collection | DOAJ |
| description | In this paper, a new method based on combination of the natural transform method (NTM), Adomian decomposition method (ADM), and coefficient perturbation method (CPM) which is called “perturbed decomposition natural transform method” (PDNTM) is implemented for solving fractional pantograph delay differential equations with nonconstant coefficients. The fractional derivative is regarded in Caputo sense. Numerical evaluations are included to demonstrate the validity and applicability of this technique. |
| format | Article |
| id | doaj-art-6c45253d753145609133e8221b99a71e |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-6c45253d753145609133e8221b99a71e2025-02-03T05:53:59ZengWileyJournal of Mathematics2314-46292314-47852019-01-01201910.1155/2019/39138403913840Application of Natural Transform Method to Fractional Pantograph Delay Differential EquationsM. Valizadeh0Y. Mahmoudi1F. Dastmalchi Saei2Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, IranDepartment of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, IranDepartment of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, IranIn this paper, a new method based on combination of the natural transform method (NTM), Adomian decomposition method (ADM), and coefficient perturbation method (CPM) which is called “perturbed decomposition natural transform method” (PDNTM) is implemented for solving fractional pantograph delay differential equations with nonconstant coefficients. The fractional derivative is regarded in Caputo sense. Numerical evaluations are included to demonstrate the validity and applicability of this technique.http://dx.doi.org/10.1155/2019/3913840 |
| spellingShingle | M. Valizadeh Y. Mahmoudi F. Dastmalchi Saei Application of Natural Transform Method to Fractional Pantograph Delay Differential Equations Journal of Mathematics |
| title | Application of Natural Transform Method to Fractional Pantograph Delay Differential Equations |
| title_full | Application of Natural Transform Method to Fractional Pantograph Delay Differential Equations |
| title_fullStr | Application of Natural Transform Method to Fractional Pantograph Delay Differential Equations |
| title_full_unstemmed | Application of Natural Transform Method to Fractional Pantograph Delay Differential Equations |
| title_short | Application of Natural Transform Method to Fractional Pantograph Delay Differential Equations |
| title_sort | application of natural transform method to fractional pantograph delay differential equations |
| url | http://dx.doi.org/10.1155/2019/3913840 |
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