Some existence results for a nonlinear fractional differential equation on partially ordered Banach spaces
β 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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π SIMILAR VOLUMES
We present an existence theorem for at least one continuous solution for a nonlinear quadratic functional integral equation of fractional order. Also, a general quadratic integral of fractional order will be considered.
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