HILFER KASR TARTIBLI OPERATORNI O‘Z ICHIGA OLUVCHI BURGER TENGLAMASI UCHUN CHEGARAVIY MASALA YECHIMINING MAVJUDLIGI HAQIDA
Ключевые слова:
Burger tenglamasi, Hilfer kasr tartibli differensial operatori, yechimning mavudligi.Аннотация
Ushbu maqolada kasr tartibli differensial operatorni o‘z ichiga oluvchi Burger tenglamasi uchun chegaraviy masalaning kuchsiz yechimi chegaraviy shartlarda berilgan funksiyalar qanday shartlarni qanoatlantirganda mavjud bo‘lmasligi aniqlangan.
Библиографические ссылки
A.A. Kilbas, H.M. Srivastava va J.J. Trujillo, Theory and Applications of Fractional Differential Equations, Elsevier, North-Holland, 2006.
R. Hilfer, Applications of Fractional Calculus in Physics, World Scientific, Singapore, 200, p.87 and p.429.
R. Hilfer, Experimental evidence for fractional time evolution in glass materials, Chem. Physics 284 (2002), 399-408.
Ahmed Alsaedi, Mokhtar Kirane and Berikbol T. Torebek (2020) Blow-up smooth solutions of the time-fractional Burger equation, Questiones Mathematical, 43:2, 185-192, DOI:10.2989/16073606.2018.1544596.
J.M. Burger, A Mathematical Model Illustrating the Theory of Turbulence, Adv.in Appl. Mech. I, pp.171-199, Academic Pres, New York, 1948.
S.I. Pokhozhaev, Essentially nonlinear capacities induced by differential operators, Dokl.Ros. Akad. Nauk. 357(5) (1997), 592-594.
