$Boundary value problems for differential equations with fractional order and nonlocal conditions$

Boundary value problems for differential equations with fractional order and nonlocal conditions

In this paper, we establish sufficient conditions for the existence of solutions for a class of boundary value problem for fractional differential equations involving the Caputo fractional derivative and nonlocal conditions.

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Bibliographische Detailangaben
Veröffentlicht in:	Nonlinear analysis 2009-10, Vol.71 (7), p.2391-2396
Hauptverfasser:	Benchohra, M., Hamani, S., Ntouyas, S.K.
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary value problem Caputo fractional derivative Exact sciences and technology Existence Fixed point Fractional integral Global analysis, analysis on manifolds Mathematical analysis Mathematics Nonlocal boundary conditions Numerical analysis Numerical analysis. Scientific computation Ordinary differential equations Partial differential equations, boundary value problems Real functions Sciences and techniques of general use Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds Uniqueness
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Beschreibung
Zusammenfassung:	In this paper, we establish sufficient conditions for the existence of solutions for a class of boundary value problem for fractional differential equations involving the Caputo fractional derivative and nonlocal conditions.
ISSN:	0362-546X 1873-5215
DOI:	10.1016/j.na.2009.01.073