KASR TARTIBLI DIFFUZIYA TENGLAMASI UCHUN KOSHI MASALASINI YECHISH USULLARI
Abstract
Ushbu maqolada vaqt bo‘yicha Caputo ma’nosidagi kasr tartibli hosilaga ega bo‘lgan diffuziya tenglamasi uchun Koshi masalasini yechish usullari tadqiq etiladi. Masalaning analitik yechimini topishda Furye va Laplas integral almashtirishlari usuli qo‘llanilgan hamda yechim Wright va Foxning H - funksiyalari orqali integral ko‘rinishida ifodalangan. Maqolada asosiy operatorlarning xossalari, teoremalarning qat’iy matematik isbotlari va olingan natijalarning amaliy tatbiqi sifatida aniq model masalalar yechib ko‘rsatilgan. Natijalar anomal diffuziya va relyaksatsiya jarayonlarini modellashtirishda muhim ahamiyatga ega.
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