Fractional calculus and fractional differential equations [Documento eletrónico] / edited by Varsha Daftardar-Gejji
Language: eng.Country: SG - Singapura.Publication: Singapore : Springer Nature Singapore, Birkhäuser, 2019Description: XI, 180 p. : il.ISBN: 978-981-13-9227-6.Series: Trends in MathematicsSubject - Topical Name: Differential equations | Mathematical analysis Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
---|---|---|---|---|---|---|---|---|
E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA370.SPR FCT (Browse shelf(Opens below)) | 1 | Available | 96502 |
Browsing Biblioteca NOVA FCT shelves, Shelving location: Online, Collection: Não Ficção Close shelf browser (Hides shelf browser)
QA370.SPR FCT 500 examples and problems of applied differential equations | QA370.SPR FCT Numerical methods for fractional differentiation | QA370.SPR FCT Boundary value problems and hardy spaces for elliptic systems with block structure | QA370.SPR FCT Fractional calculus and fractional differential equations | QA370.SPR FCT Inverse problems and related topics, Shanghai, China, October 12-14, 2018 | QA370.SPR FCT Fractional-in-time semilinear parabolic equations and applications | QA370.SPR FCT Mathematics of wave phenomena |
This book provides a broad overview of the latest developments in fractional calculus and fractional differential equations (FDEs) with an aim to motivate the readers to venture into these areas. It also presents original research describing the fractional operators of variable order, fractional-order delay differential equations, chaos and related phenomena in detail. Selected results on the stability of solutions of nonlinear dynamical systems of the non-commensurate fractional order have also been included. Furthermore, artificial neural network and fractional differential equations are elaborated on; and new transform methods (for example, Sumudu methods) and how they can be employed to solve fractional partial differential equations are discussed. The book covers the latest research on a variety of topics, including: comparison of various numerical methods for solving FDEs, the Adomian decomposition method and its applications to fractional versions of the classical Poisson processes, variable-order fractional operators, fractional variational principles, fractional delay differential equations, fractional-order dynamical systems and stability analysis, inequalities and comparison theorems in FDEs, artificial neural network approximation for fractional operators, and new transform methods for solving partial FDEs. Given its scope and level of detail, the book will be an invaluable asset for researchers working in these areas.
There are no comments on this title.