Abstract Cauchy problem for fractional functional differential equations
Keywords
Fractional functional differential equations, Banach spaces, measure of noncompactness, existence, continuationAbstract
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.Downloads
Published
2013-04-22
How to Cite
1.
ZHOU, Yong, JIAO, Feng and PEČARIĆ, Josip. Abstract Cauchy problem for fractional functional differential equations. Topological Methods in Nonlinear Analysis. Online. 22 April 2013. Vol. 42, no. 1, pp. 119 - 136. [Accessed 2 December 2024].
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