Задача Коши для неоднородного уравнения колебаний балки с дробной производной по времени, содержащего оператор Герасимова — Капуто
DOI:
https://doi.org/10.56143/ujmcs.v2i3s.7Ключевые слова:
Cauchy problem; beam vibration equation; Schrödinger equation; Mittag–Leffler function; Wright function; Gerasimov–Caputo fractional derivative; Riemann–Liouville fractional integralАннотация
В настоящей работе исследуется неоднородная задача Коши, поставленная в полуплоскости для дифференциального уравнения четвёртого порядка, содержащего дробную производную по времени. Исследование задачи разделено на три этапа. Сначала получено решение соответствующей задачи с однородными начальными условиями. Затем с использованием найденного фундаментального решения выведено явное представление решения неоднородной задачи Коши.
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