Bäcklund Transformation of Fractional Riccati Equation and Infinite Sequence Solutions of Nonlinear Fractional PDEs

The Bäcklund transformation of fractional Riccati equation with nonlinear superposition principle of solutions is employed to establish the infinite sequence solutions of nonlinear fractional partial differential equations in the sense of modified Riemann-Liouville derivative. To illustrate the reli...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Abstract and Applied Analysis 2014-01, Vol.2014 (2014), p.18-23-902
1. Verfasser:	Lu, Bin
Format:	Artikel
Sprache:	eng
Schlagworte:	Differential equations, Partial Ordinary differential equations Partial differential equations Riccati equation Sequences (Mathematics) Transformations (Mathematics)
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	The Bäcklund transformation of fractional Riccati equation with nonlinear superposition principle of solutions is employed to establish the infinite sequence solutions of nonlinear fractional partial differential equations in the sense of modified Riemann-Liouville derivative. To illustrate the reliability of the method, some examples are provided.
ISSN:	1085-3375 1687-0409
DOI:	10.1155/2014/572052