Speciality: 05.13.18 (Mathematical modelling, calculating methods, and the program systems)
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Keywords: Mittag–Leffler type function, Rieman–Liouville's franctional integrals and derivates, Caushy problem for a fractional occilating equation.

Subject:

Some special functions, concerning Mittag–Leffler type function, are introduced. The solution to Caushy problem for some linear non-homogeneous fractional occilating equation in terms of these functions are given.

Main publications:

1. Ogorodnikov E. N., Yashagin N. S., “Vynuzhdennye kolebaniya drobnykh ostsillyatorov”, Trudy pyatoi Vserossiiskoi nauchn. konf. s mezhdunar. uchastiem, т. 1, SamGTU, Samara, 2008, 215–221
2. Ogorodnikov E. N., Yashagin N. S., “Analiz vynuzhdennykh kolebanii drobnykh ostsillyatorov”, Tezisy dokladov Mezhdunar. konf. po mat. fizike i ee prilozheniyam, т. 1, Mat. institut im. V. A. Steklova RAN, Samarsk. gos. un-t, Samara, 2008, 141–143

Publications in Math-Net.Ru

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Organisations:

• Samara State Technical University