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Existence and uniqueness results of some fractional boundary value problem
-
Hanifa Seddiki
and
Said Mazouzi
Published/Copyright:
May 20, 2011
Abstract
We establish in this paper some existence results of a solution to a boundary value problem of fractional differential equation. We obtain two results, the first one by the Banach fixed point theorem and the second by a nonlinear alternative of Leray–Schauder type.
Received: 2009-09-21
Revised: 2010-05-04
Accepted: 2010-05-18
Published Online: 2011-05-20
Published in Print: 2011-June
© de Gruyter 2011
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Keywords for this article
Boundary value problem;
fractional differential equation;
fixed point theorem
Articles in the same Issue
- Semiinfinite multiobjective fractional programming, part II: Duality models
- Wavelet characterization of Sobolev spaces with variable exponent
- Structure of the fixed point set of asymptotically nonexpansive mappings in Banach spaces with weak uniformly normal structure
- Masas in the Calkin algebra without the Continuum Hypothesis
- Existence and uniqueness results of some fractional boundary value problem
- Set-valued variational-like inclusions with H -η-accretive operators in Banach spaces
- On semi-invariant submanifolds of a nearly Sasakian manifold admitting a semi-symmetric non-metric connection
- An estimate for the distance of a complex valued Sobolev function defined on the unit disc to the class of holomorphic functions
- Comparison ODE theorems related to the method of lines
