KASR TARTIBLI KOSHI MASALASINI INTEGRAL TENGLAMAGA KELTIRISH

Authors

  • Safarboyeva Maftuna Aminboy qizi Safarboyeva Maftuna Aminboy qizi Author

Keywords:

kasr tartibli hosila, Koshi masalasi, Kaputo hosilasi, integral tenglama, Volterra tenglamasi, Lipshits sharti, Pikar ketma-ketligi.

Abstract

Ushbu maqolada kasr tartibli differensial tenglamalar uchun Koshi masalasini unga ekvivalent bo‘lgan integral tenglama ko‘rinishiga keltirish masalasi tadqiq etiladi. Xususan, Kaputo ma’nosidagi kasr tartibli hosila asosida qo‘yilgan boshlang‘ich qiymatli masala Volterra tipidagi integral tenglamaga aylantiriladi. Maqolada kasr tartibli integral operator, Kaputo hosilasi, boshlang‘ich shartlarning roli va integral tenglama bilan differensial masalaning ekvivalentligi izohlanadi. Shuningdek, yechimning mavjudligi va yagonaligini ko‘rsatishda Lipshits sharti hamda ketma-ket yaqinlashishlar usulidan foydalanish imkoniyati asoslab beriladi.

Author Biography

  • Safarboyeva Maftuna Aminboy qizi, Safarboyeva Maftuna Aminboy qizi

    Xorazm viloyati Osiyo xalqaro Universiteti

    1-bosqich magistragura matematika yo'nalishi

References

Downloads

Published

2026-06-27

Issue

Vol. 7 No. 2 (2026): ADVANCES IN RESEARCH AND INNOVATION SOLUTIONS

Section

Articles