Unique continuation principle for the one-dimensional time-fractional diffusion equation

This paper deals with the unique continuation of solutions for a one-dimensional anomalous diffusion equation with Caputo derivative of order α (0, 1). Firstly, the uniqueness of solutions to a lateral Cauchy problem for the anomalous diffusion equation is given via the Theta function method, from which we further verify the unique continuation principle. © 2019 Diogenes Co., Sofia.

Авторы
Li Z.1 , Yamamoto M. 2, 3, 4
Издательство
Walter de Gruyter GmbH
Номер выпуска
3
Язык
Английский
Страницы
644-657
Статус
Опубликовано
Том
22
Год
2019
Организации
  • 1 School of Mathematics and Statistics, Shandong University of Technology, No. 266, Xincunxi Road, Zhangdian District Zibo, Shandong, 255049, China
  • 2 Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo, 153-8914, Japan
  • 3 Peoples' Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Str., Moscow, 117198, Russian Federation
  • 4 Honorary Member of Academy of Romanian Scientists, Splaiul Independentei Str. no 54, Bucharest, 050094, Romania
Ключевые слова
Fractional diffusion equation; fractional Theta function; Laplace transform; unique continuation principle
Цитировать
Поделиться

Другие записи

Crous P.W., Carnegie A.J., Wingfield M.J., Sharma R., Mughini G., Noordeloos M.E., Santini A., Shouche Y.S., Bezerra J.D.P., Dima B., Guarnaccia V., Imrefi I., Jurjević Ž., Knapp D.G., Kovács G.M., Magistà D., Perrone G., Rämä T., Rebriev Y.A., Shivas R.G., Singh S.M., Souza-Motta C.M., Thangavel R., Adhapure N.N., Alexandrova A.V., Alfenas A.C., Alfenas R.F., Alvarado P., Alves A.L., Andrade D.A., Andrade J.P., Barbosa R.N., Barili A., Barnes C.W., Baseia I.G., Bellanger J.-M., Berlanas C., Bessette A.E., Bessette A.R., Biketova A.Y., Bomfim F.S., Brandrud T.E., Bransgrove K., Brito A.C.Q., Cano-Lira J.F., Cantillo T., Cavalcanti A.D., Cheewangkoon R., Chikowski R.S., Conforto C., Cordeiro T.R.L., Craine J.D., Cruz R., Damm U., Dearnaley J.D.W., Dimitrov R.A., Dovana F., Erhard A., Esteve-Raventós F., Félix C.R., Ferisin G., Fernandes R.A., Ferreira R.J., Ferro L.O., Figueiredo C.N., Frank J.L., Freire K.T.L.S., García D., Gené J., Gęsiorska A., Gibertoni T.B., Gondra R.A.G., Gouliamova D.E., Gramaje D., Guard F., Gusmão L.F.P., Haitook S., Hirooka Y., Houbraken J., Hubka V., Inamdar A., Iturriaga T., Iturrieta-González I., Jadan M., Jiang N., Justo A., Kachalkin A.V., Kapitonov V.I., Karadelev M., Karakehian J., Kasuya T., Kautmanová I., Kruse J., Kušan I., Kuznetsova T.A., Landell M.F., Larsson K.-H., Lee H.B., Lima D.X., Lira C.R.S., Machado A.R., Madrid H., Magalhães O.M.C., Majerova H., Malysheva E.F., Mapperson R.R., Marbach P.A.S., Martín M.P., Martín-Sanz A., Matočec N., McTaggart A.R., Mello J.F., Melo R.F.R., Mešić A., Michereff S.J., Miller A.N., Minoshima A., Molinero-Ruiz L., Morozova O.V., Mosoh D., Nabe M., Naik R., Nara K., Nascimento S.S., Neves R.P., Olariaga I., Oliveira R.L., Oliveira T.G.L., Ono T., Ordoñez M.E., Ottoni A.M., Paiva L.M., Pancorbo F., Pant B., Pawłowska J., Peterson S.W., Raudabaugh D.B., Rodríguez-Andrade E., Rubio E., Rusevska K., Santiago A.L.C.M.A., Santos A.C.S., Santos C., Sazanova N.A., Shah S., Sharma J., Silva B.D.B., Siquier J.L., Sonawane M.S., Stchigel A.M., Svetasheva T., Tamakeaw N., Telleria M.T., Tiago P.V., Tian C.M., Tkalčec Z., Tomashevskaya M.A., Truong H.H., Vecherskii M.V., Visagie C.M., Vizzini A., Yilmaz N., Zmitrovich I.V., Zvyagina E.A., Boekhout T., Kehlet T., Læssøe T., Groenewald J.Z., De Oliveira R.J.V., De Souza J.T., De Souza H.G.
Persoonia: Molecular Phylogeny and Evolution of Fungi. Nationaal Herbarium Nederland. Том 42. 2019. С. 291-473