An Existence Result for Nonlinear Fractional Differential Equations on Banach Spaces
β Scribed by Benchohra, Mouffak; Cabada, Alberto; Seba, Djamila
- Book ID
- 120451209
- Publisher
- Springer International Publishing AG
- Year
- 2009
- Tongue
- English
- Weight
- 510 KB
- Volume
- 2009
- Category
- Article
- ISSN
- 1687-2762
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π SIMILAR VOLUMES
In this paper, the Leray-Schauder nonlinear alternative is used to investigate the existence of solutions to first-order impulsive initial value problems for functional differential equations in Banach spaces.
We use the nonlinear alternative and topological transversality to prove an existence theorem for the solutions of the functional differential equation αΊ(t) = F (t, x t ), where x t (ΞΈ ) = x(t + ΞΈ ) for all ΞΈ β [-r, 0] and F : [0, A] Γ X 2 β X , X is a Banach space and X 2 is the Banach space of con
This paper is mainly concerned with the existence of solutions of first order nonlinear impulsive fractional integrodifferential equations in Banach spaces. The results are obtained by using fixed point principles. Further, some interesting examples are presented to illustrate the theory.