Time-Fractional Differential Equations - 9789811590658

Name: Time-Fractional Differential Equations - 9789811590658
Brand: Springer Verlag, Singapore

Springer Verlag, Singapore

Time-Fractional Differential EquationsA Theoretical Introduction\nAuthor(s): Adam Kubica, Katarzyna Ryszewska, Masahiro Yamamoto\nFormat: Paperback\nPublisher: Springer Verlag, Singapore, Singapore\nImprint: Springer Verlag, Singapore\nISBN-13: 9789811590658, 978-9811590658\nSynopsis\nThis book aims to establish a foundation for fractional derivatives and fractional differential equations. The theory of fractional derivatives enables considering any positive order of differentiation. The history of research in this field is very long, with its origins dating back to Leibniz. Since then, many great mathematicians, such as Abel, have made contributions that cover not only theoretical aspects but also physical applications of fractional calculus. \n\nThe fractional partial differential equations govern phenomena depending both on spatial and time variables and require more subtle treatments. Moreover, fractional partial differential equations are highly demanded model equations for solv.