کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8902005 1631952 2018 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Subordination approach to multi-term time-fractional diffusion-wave equations
ترجمه فارسی عنوان
رویکرد زیربنایی به معادلات موج چند فصلی موج فیزیکی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی
This paper is concerned with the fractional evolution equation with a discrete distribution of Caputo time-derivatives such that the largest and the smallest orders, α and αm, satisfy the conditions 1<α≤2 and α−αm≤1. First, based on a study of the related propagation function, the nonnegativity of the fundamental solutions to the spatially one-dimensional Cauchy and signaling problems is proven and propagation speed of a disturbance is discussed. Next, we study the equation with a general linear spatial differential operator defined in a Banach space and suppose it generates a cosine family. A subordination principle is established, which implies the existence of a unique solution and gives an integral representation of the solution operator in terms of the corresponding cosine family and a probability density function. Explicit representation of the probability density function is derived. The subordination principle is applied for obtaining regularity results. The analytical findings are supported by numerical work.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 339, September 2018, Pages 179-192
نویسندگان
, ,