Some Special Functions in the Solution To Cauchy Problem for a Fractional Oscillating Equation
Some special functions, concerning Mittag–Leffler type function, are introduced. The solution to Cauchy problem for some linear non-homogeneous fractional oscillating equation in terms of these functions are given.
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2009-03-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Online Access: | http://mi.mathnet.ru/eng/vsgtu685 |
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Article |
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doaj-be772e3fae6a424daa3a288f807852052020-11-24T21:58:37ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812009-03-011(18)27627910.14498/vsgtu685Some Special Functions in the Solution To Cauchy Problem for a Fractional Oscillating EquationE. N. OgorodnikovN. S. YashaginSome special functions, concerning Mittag–Leffler type function, are introduced. The solution to Cauchy problem for some linear non-homogeneous fractional oscillating equation in terms of these functions are given.http://mi.mathnet.ru/eng/vsgtu685 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
E. N. Ogorodnikov N. S. Yashagin |
| spellingShingle |
E. N. Ogorodnikov N. S. Yashagin Some Special Functions in the Solution To Cauchy Problem for a Fractional Oscillating Equation Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| author_facet |
E. N. Ogorodnikov N. S. Yashagin |
| author_sort |
E. N. Ogorodnikov |
| title |
Some Special Functions in the Solution To Cauchy Problem for a Fractional Oscillating Equation |
| title_short |
Some Special Functions in the Solution To Cauchy Problem for a Fractional Oscillating Equation |
| title_full |
Some Special Functions in the Solution To Cauchy Problem for a Fractional Oscillating Equation |
| title_fullStr |
Some Special Functions in the Solution To Cauchy Problem for a Fractional Oscillating Equation |
| title_full_unstemmed |
Some Special Functions in the Solution To Cauchy Problem for a Fractional Oscillating Equation |
| title_sort |
some special functions in the solution to cauchy problem for a fractional oscillating equation |
| publisher |
Samara State Technical University |
| series |
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| issn |
1991-8615 2310-7081 |
| publishDate |
2009-03-01 |
| description |
Some special functions, concerning Mittag–Leffler type function, are introduced. The solution to Cauchy problem for some linear non-homogeneous fractional oscillating equation in terms of these functions are given. |
| url |
http://mi.mathnet.ru/eng/vsgtu685 |
| work_keys_str_mv |
AT enogorodnikov somespecialfunctionsinthesolutiontocauchyproblemforafractionaloscillatingequation AT nsyashagin somespecialfunctionsinthesolutiontocauchyproblemforafractionaloscillatingequation |
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