Existence results for fractional order semilinear functional differential equations with nondense domain

Existence results for fractional order semilinear functional differential equations with nondense domain

In this paper, we establish sufficient conditions for existence and uniqueness of solutions for some nondensely defined semilinear functional differential equations involving the Riemann–Liouville derivative. Our approach is based on integrated semigroup theory, the Banach contraction principle, and...

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Veröffentlicht in:Nonlinear analysis 2010-01, Vol.72 (2), p.925-932
Hauptverfasser: Belmekki, Mohammed, Benchohra, Mouffak
Format: Artikel
Sprache:eng
Schlagworte:
Derivatives
Difference and functional equations, recurrence relations
Differential equations
Exact sciences and technology
Finite differences and functional equations
Fixed point
Fractional derivative
Fractional integral
Integral solutions
Mathematical analysis
Mathematics
Nondense domain
Nonlinearity
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Real functions
Sciences and techniques of general use
Semigroups
Semilinear functional differential equation
Uniqueness
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Beschreibung
Zusammenfassung:In this paper, we establish sufficient conditions for existence and uniqueness of solutions for some nondensely defined semilinear functional differential equations involving the Riemann–Liouville derivative. Our approach is based on integrated semigroup theory, the Banach contraction principle, and the nonlinear alternative of Leray–Schauder type.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2009.07.034