Solutions to Fractional Differential Equations with Nonlocal Initial Condition in Banach Spaces

Solutions to Fractional Differential Equations with Nonlocal Initial Condition in Banach Spaces

A new existence and uniqueness theorem is given for solutions to differential equations involving the Caputo fractional derivative with nonlocal initial condition in Banach spaces. An application is also given.

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Veröffentlicht in:Advances in difference equations 2010, Vol.2010 (1), p.340349-340349
Hauptverfasser: Lv, Zhi-Wei, Liang, Jin, Xiao, Ti-Jun
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Banach spaces
Cauchy problems
Mathematics
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Beschreibung
Zusammenfassung:A new existence and uniqueness theorem is given for solutions to differential equations involving the Caputo fractional derivative with nonlocal initial condition in Banach spaces. An application is also given.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/1687-1847-2010-340349