分数阶方程解的存在性结果及连续性依赖

Differential Equations and Applications Pub Date : 2020-01-01 DOI:10.7153/dea-2020-12-24

J. V. C. Sousa

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引用次数: 3

摘要

利用两个分数阶积分不等式，利用充分范数||·||ξ，∞，研究了Banach空间中分数阶非线性Volterra积分方程和分数阶非线性积分微分方程解的存在唯一性。此外，我们还研究了解估计和它们的连续依赖关系。数学学科分类(2010):26A33、34A08、34A12、34A60、34G20。

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Existence results and continuity dependence of solutions for fractional equations

Using two fractional-order integral inequalities we investigate the existence and uniqueness of solutions of the fractional nonlinear Volterra integral equation and the fractional nonlinear integrodifferential equation in Banach space Cξ , using an adequate norm, || · ||ξ ,∞ . Besides, we study the solution estimate and investigate their continuous dependence. Mathematics subject classification (2010): 26A33, 34A08, 34A12, 34A60, 34G20.

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Differential Equations and Applications

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