分数阶微分方程非局部柯西问题解的存在和唯一性

Abstract

Abstract:

In this paper, by using the fixed point theorem and a new method, we study the existence and uniqueness of solutions for nonlocal Cauchy problem for fractional evolution equations with Caputo fractional derivative, and obtain two new results. Finally, to illustrate the theoretical results obtained, we give an example.

Key words: C₀-Semigroup, Fractional evolution equations, Mild solution, Nonlocal Cauchy problem, Laplace transform, Probability density

CLC Number:

O175.13

Deng Jiqin, Deng Ziming. Existence and Uniqueness of Solutions for Nonlocal Cauchy Problem for Fractional Evolution Equations[J].Acta mathematica scientia,Series A, 2016, 36(6): 1157-1164.

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References

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Existence and Uniqueness of Solutions for Nonlocal Cauchy Problem for Fractional Evolution Equations

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