Fractional order semilinear Volterra integrodifferential equations in Banach spaces

2014/06/16 by Kexue Li, Li, Kexue
Mathematics · #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis #Differential Equations and Boundary Problems

paper · pdf · doi:10.48550/arxiv.1406.3995

Abstract

In this paper, sufficient conditions are established for the existence results of fractional order semilinear Volterra integrodifferential equations in Banach spaces. The results are obtained by using the theory of fractional cosine families and fractional powers of operators.

Citations

• On fractional powers of generators of fractional resolvent families

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