On the Cauchy problems for Barenblatt-Zheltov-Kochina type fractional equations
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Ushbu maqolada Caputo hosilasi bilan berilgan Barenblatt-Jeltov-Kochina tipidagi bir jinsli
kars tartibli tenglama uchun Koshi masalasi o‘rganiladi. Berilgan Koshi masalasining yechimi
mavjudligi Furye usuli yordamida ko‘rsatiladi, topilgan yechimning uzluksizligi esa funksional
qatorlar xossalaridan foydalangan holda isbotlanadi. Shuningdek, yechimning yagona ekanligi ham
isbotlanadi. Masala yechimining mavjudligi va yagonaligini ko‘rsatish jarayonida Mittag-Leffler
funksiyasining xossalaridan keng foydalaniladi.
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https://doi.org/10.1134/S1995080221030069
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