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Some existence results for a nonlinear fractional differential equation on partially ordered Banach spaces

✍ Scribed by Baleanu, Dumitru; Agarwal, Ravi P; Mohammadi, Hakimeh; Rezapour, Shahram


Book ID
120545961
Publisher
Springer International Publishing AG
Year
2013
Tongue
English
Weight
166 KB
Volume
2013
Category
Article
ISSN
1687-2762

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An existence result for a functional dif
✍ Mustapha Yebdri; Fadela Nigro πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 369 KB

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 ∈ [-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