Solving Fractional Difference Equations Using the Laplace Transform Method
We discuss the Laplace transform of the Caputo fractional difference and the fractional discrete Mittag-Leffer functions. On these bases, linear and nonlinear fractional initial value problems are solved by the Laplace transform method.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/230850 |
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| _version_ | 1832550218549166080 |
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| author | Li Xiao-yan Jiang Wei |
| author_facet | Li Xiao-yan Jiang Wei |
| author_sort | Li Xiao-yan |
| collection | DOAJ |
| description | We discuss the Laplace transform of the Caputo fractional difference and the fractional discrete Mittag-Leffer functions. On these bases, linear and nonlinear fractional initial value problems are solved by the Laplace transform method. |
| format | Article |
| id | doaj-art-7123cb769d394da881421554a13d0cd9 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7123cb769d394da881421554a13d0cd92025-02-03T06:07:26ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/230850230850Solving Fractional Difference Equations Using the Laplace Transform MethodLi Xiao-yan0Jiang Wei1School of Mathematical Science, Anhui University, Hefei, Anhui 230601, ChinaSchool of Mathematical Science, Anhui University, Hefei, Anhui 230601, ChinaWe discuss the Laplace transform of the Caputo fractional difference and the fractional discrete Mittag-Leffer functions. On these bases, linear and nonlinear fractional initial value problems are solved by the Laplace transform method.http://dx.doi.org/10.1155/2014/230850 |
| spellingShingle | Li Xiao-yan Jiang Wei Solving Fractional Difference Equations Using the Laplace Transform Method Abstract and Applied Analysis |
| title | Solving Fractional Difference Equations Using the Laplace Transform Method |
| title_full | Solving Fractional Difference Equations Using the Laplace Transform Method |
| title_fullStr | Solving Fractional Difference Equations Using the Laplace Transform Method |
| title_full_unstemmed | Solving Fractional Difference Equations Using the Laplace Transform Method |
| title_short | Solving Fractional Difference Equations Using the Laplace Transform Method |
| title_sort | solving fractional difference equations using the laplace transform method |
| url | http://dx.doi.org/10.1155/2014/230850 |
| work_keys_str_mv | AT lixiaoyan solvingfractionaldifferenceequationsusingthelaplacetransformmethod AT jiangwei solvingfractionaldifferenceequationsusingthelaplacetransformmethod |