НЕЛОКАЛЬНАЯ ЗАДАЧА С ПРЕРЫВНЫМ УСЛОВИЕМ СКЛЕИВАНИЯ ДЛЯ НАГРУЗЛЕННОГО УРАВНЕНИЯ ВОЛНОВОЙ ДИФФУЗИИ, ВКЛЮЧАЮЩЕГО ДРОБНУЮ ПРОИЗВОДНУЮ.
Аннотация
В данной работе исследованы существование и единственность решения нелокальной краевой задачи с разрывным условием согласования для нагруженного параболико-гиперболического уравнения, включающего дробную производную Римана-Лиувилля. Единственность решения доказана методом интегральной энергии, а существование — методом интегральных уравнений.
Ключевые слова
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