SOLVABILITY OF A MIXED PROBLEM FOR A DEGENERATE SUB-DIFFUSION EQUATION IN A RECTANGULAR DOMAIN

Ikramova Nargis Saidakbarovna; Yunusalieva Mokhinur Tulqinjon qizi

doi:10.56292/SJFSU/vol31_iss6/a201

Mualliflar

Ikramova Nargis Saidakbarovna

Fergana State University

https://orcid.org/0000-0002-1597-644X
Yunusalieva Mokhinur Tulqinjon qizi

Fergana State University

https://orcid.org/0009-0001-0204-6403

DOI:

https://doi.org/10.56292/SJFSU/vol31_iss6/a201

Kalit so‘zlar:

kasr tartibli hisob, buziladigandifferensial tenglama, aralash masala, kasr tartibli Kaputo differensial operatori, spektral masala.

Annotatsiya

Ushbu maqolada to‘g‘ri to‘rtburchak sohada buziladigan subdiffuziya tenglamasi uchun aralash chegaraviy masala o‘rganilgan. O‘zgaruvchilarni ajratish usuli yordamida fazoviy o‘zgaruvchiga bog‘liq bo‘lgan oddiy differensial tenglama uchun spektral masala hosil qilinadi. Hosil bo‘lgan spektral masalaning xos qiymatlari va xos funksiyalarining mavjudligi musbat differensial operatorlar nazariyasiga asoslanib isbotlangan. Masalaning yechimi Furye qatori ko‘rinishida qurilgan. Olingan qatorning yaqinlashuvchiligi isbotlangan hamda yechimning yagonaligi xos funksiyalar sistemasining to‘laligidan foydalanib asoslangan.

Mualliflar haqida

Ikramova Nargis Saidakbarovna, Fergana State University

Senior Lecturer, Fergana State University
Yunusalieva Mokhinur Tulqinjon qizi, Fergana State University

Master’s Student, Fergana State University

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