Perturbation method for linear and non-linear fractional order systems and integral representation for evaluation of integrals
In the present work, the authors used the Laplace transform - perturbation method to solve certain linear and non-linear systems of fractional differential and difference equations with constant coefficients with the fractional derivatives in the Caputo sense. We also considered the problems of stri...
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2015-02-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Subjects: | |
| Online Access: | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/21411 |
| _version_ | 1818484404696121344 |
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| author | Arman Aghili M. R. Masomi |
| author_facet | Arman Aghili M. R. Masomi |
| author_sort | Arman Aghili |
| collection | DOAJ |
| description | In the present work, the authors used the Laplace transform - perturbation method to solve certain linear and non-linear systems of fractional differential and difference equations with constant coefficients with the fractional derivatives in the Caputo sense. We also considered the problems of string vibrations in different cases with fractional damping. Another purpose of this article is to evaluate certain integrals. Illustrative examples are also provided. |
| first_indexed | 2024-12-10T15:55:03Z |
| format | Article |
| id | doaj.art-f13487fdd0884a478aadab8c47687e6b |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-12-10T15:55:03Z |
| publishDate | 2015-02-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-f13487fdd0884a478aadab8c47687e6b2022-12-22T01:42:41ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882015-02-013318110210.5269/bspm.v33i1.2141110804Perturbation method for linear and non-linear fractional order systems and integral representation for evaluation of integralsArman Aghili0M. R. Masomi1University of Guilan Applied Mathematics Department, Faculty of Mathematical Sciences,University of Guilan Applied Mathematics Department, Faculty of Mathematical Sciences,In the present work, the authors used the Laplace transform - perturbation method to solve certain linear and non-linear systems of fractional differential and difference equations with constant coefficients with the fractional derivatives in the Caputo sense. We also considered the problems of string vibrations in different cases with fractional damping. Another purpose of this article is to evaluate certain integrals. Illustrative examples are also provided.http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/21411Laplace transformCaputo fractional derivativeFractional differential equationsPerturbation methodFractional difference equation |
| spellingShingle | Arman Aghili M. R. Masomi Perturbation method for linear and non-linear fractional order systems and integral representation for evaluation of integrals Boletim da Sociedade Paranaense de Matemática Laplace transform Caputo fractional derivative Fractional differential equations Perturbation method Fractional difference equation |
| title | Perturbation method for linear and non-linear fractional order systems and integral representation for evaluation of integrals |
| title_full | Perturbation method for linear and non-linear fractional order systems and integral representation for evaluation of integrals |
| title_fullStr | Perturbation method for linear and non-linear fractional order systems and integral representation for evaluation of integrals |
| title_full_unstemmed | Perturbation method for linear and non-linear fractional order systems and integral representation for evaluation of integrals |
| title_short | Perturbation method for linear and non-linear fractional order systems and integral representation for evaluation of integrals |
| title_sort | perturbation method for linear and non linear fractional order systems and integral representation for evaluation of integrals |
| topic | Laplace transform Caputo fractional derivative Fractional differential equations Perturbation method Fractional difference equation |
| url | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/21411 |
| work_keys_str_mv | AT armanaghili perturbationmethodforlinearandnonlinearfractionalordersystemsandintegralrepresentationforevaluationofintegrals AT mrmasomi perturbationmethodforlinearandnonlinearfractionalordersystemsandintegralrepresentationforevaluationofintegrals |