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Nonlocal boundary value problems for hyperbolic equations with a Caputo fractional derivative
Journal of Computational and Applied Mathematics ( IF 2.1 ) Pub Date : 2021-07-03 , DOI: 10.1016/j.cam.2021.113709
Elimhan N. Mahmudov , Shakir Sh. Yusubov

In this paper, we study local and nonlocal boundary value problems for hyperbolic equations of general form with variable coefficients and a Caputo fractional derivative. To study the stated problem, a certain fractional-order functional space is introduced. The problem posed is reduced to an integral equation, and the existence of its solution is proved using an a priori estimate.



中文翻译:

具有 Caputo 分数阶导数的双曲方程的非局部边值问题

在本文中,我们研究了具有可变系数和 Caputo 分数阶导数的一般形式的双曲方程的局部和非局部边值问题。为了研究上述问题,引入了某个分数阶泛函空间。提出的问题简化为一个积分方程,并使用先验估计证明其解的存在性。

更新日期:2021-07-08
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