Classic solutions to the equation of local fluctuations of the Riesz gravitational fields and their properties

• Дата: 2022
• Автори: Litovchenko , V. A., Літовченко, Владислав Антонович, Літовченко, В. А.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2022
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/6879
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.937, 519.21 We consider a pseudodifferential equation involving the Riesz operator of fractional differentiation, which is a natural generalization of the well-known equation of fractal diffusion. Its fundamental solution to the Cauchy problem is the density of probability distribution of lo...