Fractional Cauchy problems with almost sectorial operators

Lu Zhang and Yong Zhou

Applied Mathematics and Computation, 2015, vol. 257, issue C, 145-157

Abstract: This paper concerns the abstract Cauchy problem of fractional evolution equations with almost sectorial operators. The suitable mild solutions of evolution equations with Riemann–Liouville derivative and Caputo derivative are introduced respectively. The existence theorems of mild solutions of Cauchy problems are established. The results obtained here improve and generalize some known results. Finally, an example is given for demonstration.

Keywords: Fractional evolution equations; Almost sectorial operator; Riemann–Liouville derivative; Caputo derivative; Measure of noncompactness; Cauchy problem (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:257:y:2015:i:c:p:145-157

DOI: 10.1016/j.amc.2014.07.024

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