KASR TARTIBLI DIFFERENSIAL TENGLAMALAR UCHUN KOSHI MASALASI YECHIMINING MAVJUDLIGI VA YAGONALIGI: CAPUTO HOSILASI ASOSIDA TAHLIL

Authors

  • Safarboyeva Maftuna Aminboy qizi Author

Keywords:

kasr tartibli differensial tenglama, Koshi masalasi, Caputo hosilasi, Volterra integral tenglama, mavjudlik, yagonalik.

Abstract

Mazkur maqolada kasr tartibli differensial tenglamalar uchun Koshi masalasi yechimining mavjudligi va yagonaligi Caputo hosilasi asosida tahlil qilinadi. Caputo hosilasi boshlang‘ich shartlarni klassik ko‘rinishda berish imkonini bergani sababli amaliy modellashtirishda keng qo‘llanadi. Tadqiqotning markaziy g‘oyasi shundan iboratki, kasr hosilali tenglama mos kasr integral operatori yordamida Volterra tipidagi integral tenglamaga ekvivalent o‘tkaziladi va so‘ng yechimning mavjudligi hamda yagonaligi fiks nuqta usullari orqali asoslanadi.

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Published

2026-01-21

Issue

Vol. 3 No. 2 (2026): ZAMONAVIY TARAQQIYOT VA FAN: 21-ASR YONDASHUVLARI

Section

Articles

How to Cite

KASR TARTIBLI DIFFERENSIAL TENGLAMALAR UCHUN KOSHI MASALASI YECHIMINING MAVJUDLIGI VA YAGONALIGI: CAPUTO HOSILASI ASOSIDA TAHLIL. (2026). ZAMONAVIY TARAQQIYOT VA FAN: 21-ASR YONDASHUVLARI, 3(2), 38-42. https://journalss.org/index.php/zam/article/view/15818