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Frankl-Type Problem for a Mixed Type Equation with the Caputo Fractional Derivative
Lobachevskii Journal of Mathematics Pub Date : 2020-11-07 , DOI: 10.1134/s1995080220090152 E. T. Karimov
中文翻译:
带Caputo分数阶导数的混合型方程的Frankl型问题
更新日期:2020-11-09
Lobachevskii Journal of Mathematics Pub Date : 2020-11-07 , DOI: 10.1134/s1995080220090152 E. T. Karimov
Abstract
In this work, we investigate Frankl-type problem with integral conjugating condition for a mixed type equation consisting of sub-diffusion and wave equations. A uniqueness and the existence of formulated problem have been proved using energy integrals and the method of integral equations, imposing certain conditions on given data.
中文翻译:
带Caputo分数阶导数的混合型方程的Frankl型问题
摘要
在这项工作中,我们研究了由子扩散和波动方程组成的混合型方程的积分共轭条件的Frankl型问题。利用能量积分和积分方程的方法,在给定的数据上施加一定条件,证明了其唯一性和存在的拟定问题。