Application of measure of noncompactness to a Cauchy problem for fractional differential equations in Banach spaces (Q2347384)
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scientific article
| Language | Label | Description | Also known as |
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| English | Application of measure of noncompactness to a Cauchy problem for fractional differential equations in Banach spaces |
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Application of measure of noncompactness to a Cauchy problem for fractional differential equations in Banach spaces (English)
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27 May 2015
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The authors of this paper study the existence of solutions of a Cauchy type problem for a nonlinear fractional differential equation, via the techniques of measure of noncompactness. The investigation is based on a new fixed point result which is a generalization of the well-known Darbo's fixed point theorem. The main result is less restrictive than those given in the literature. Some illustrative examples are given.
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fractional derivatives and integrals
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fixed point
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measure of noncompactness
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