KASR TARTIBLI HILFER DIFFERENSIAL OPERATORINI O‘Z ICHIGA OLUVCHI BENJAMIN-BONA-MAHONI TENGLAMASI UCHUN CHEGARAVIY MASALA YECHIMINING MAVJUDLIGI HAQIDA
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Annotatsiya
Mazkur maqolada kasr tartibli Hilfer operatorini o‘z ichiga oluvchi Benjamin-Bona-Mahony tenglamasi uchun boshlang‘ich chegaraviy masala yechiming mavjud bo‘lmasligi shartlari aniqlangan.
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Foydalaniladigan adabiyotlar
T. B. Benjamin, J. L. Bona, J. J. Mahony. (1972). Model equations for long waves in nonlinear dispersive systems. Phil. Trans. R. Soc. Ser. A. 272, 47–78.
R. Hilfer. (2000). Applications of Fractional Calculus in Physics, World Scientific, Singapore, p.87 and p.429.
R. Hilfer. (2002). Experimental evidence for fractional time evolution in glass materials, Chem. Physics 284, 399-408.
A. A. Kilbas, H. M. Srivastava va J. J. Trujillo. (2006). Theory and Applications of Fractional Differential Equations, Elsevier, North-Holland.