Khả Năng Kiểm Soát Xấp Xỉ Thông Qua Các Toán Tử Giải Đúng Của Các Phương Trình Tích Phân Ngẫu Nhiên Loại Sobolev Với Chuyển Động Brown Phân Số và Các Bước Nhảy Poisson

Bulletin of the Iranian Mathematical Society - Tập 45 - Trang 1045-1059 - 2018
Hamdy M. Ahmed1
1Higher Institute of Engineering, El-Shorouk Academy, El-Shorouk City, Cairo, Egypt

Tóm tắt

Sử dụng phép toán phân số, lý thuyết phân tích ngẫu nhiên và các định lý điểm cố định với các tính chất của các toán tử giải đúng $$\alpha $$, các điều kiện đủ cho khả năng kiểm soát xấp xỉ của các phương trình tích phân ngẫu nhiên loại Sobolev với chuyển động Brown phân số và các bước nhảy Poisson đã được thiết lập. Cuối cùng, một ví dụ được đưa ra để minh họa các kết quả đã đạt được.

Từ khóa

#khả năng kiểm soát xấp xỉ #phương trình tích phân ngẫu nhiên #động học Brown phân số #bước nhảy Poisson #toán tử giải đúng

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