卡普托分数阶微分方程解的逐次逼近

Fractional Differential Calculus Pub Date : 1900-01-01 DOI:10.7153/fdc-2020-10-10

M. Palani, A. Usachev

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引用次数: 1

摘要

．考虑一类严格大于1的分数阶单项卡普托微分方程的初值问题。对于那些右边满足Osgood型条件的解，我们证明了存在以指数速率收敛于解的连续逼近。作为这一结果的应用，我们研究了这些问题的Ulam-Hyers稳定性。

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Successive approximations of solutions to the Caputo fractional differential equations

. We consider an initial value problem involving a single term Caputo differential equa- tion of fractional order strictly greater than one. For those with right hand sides that satisfy an Osgood type condition, we show that there exist successive approximations which converge to the solution at an exponential rate. As an application of this result, we study the Ulam-Hyers stability of these problems.

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来源期刊

Fractional Differential Calculus

CiteScore

1.30

自引率

0.00%

发文量