Existence of positive solutions for a coupled system of nonlinear fractional differential equations

• Дата: 2019
• Автори: Ghanmi, A., Ганмі, А.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2019
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/1417
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We study the following nonlinear boundary-value problems for fractional differential equations $$D^{\alpha} u(t) = f(t, v(t),D^{\beta - 1}v(t)), t > 0,\\ D^{\beta} v(t) = g(t, u(t),D^{\alpha - 1}u(t)), t > 0,\\ u > 0,\; v > 0 \in (0,\infty), \lim_{t\rightarrow 0+} u(t) =...