Abstract Cauchy problem for fractional functional differential equations
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Fractional functional differential equations, Banach spaces, measure of noncompactness, existence, continuationAbstrakt
In this paper, the existence and continuation of solutions for the Cauchy initial value problem of fractional functional differential equations in an arbitrary Banach space is discussed under hypotheses based on Carathéodory condition and the measure of noncompactness. In addition, an example is given to show that the criteria on existence of solutions for the initial value problem of fractional differential equations in finite-dimensional spaces may not be true in infinite-dimensional cases.Pobrania
Opublikowane
2013-04-22
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1.
ZHOU, Yong, JIAO, Feng & PEČARIĆ, Josip. Abstract Cauchy problem for fractional functional differential equations. Topological Methods in Nonlinear Analysis [online]. 22 kwiecień 2013, T. 42, nr 1, s. 119–136. [udostępniono 22.7.2024].
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