Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients
نویسندگان
چکیده
منابع مشابه
Studies on Sturm-Liouville boundary value problems for multi-term fractional differential equations
...
متن کاملStudies on Sturm-Liouville boundary value problems for multi-term fractional differential equations
Abstract. The Sturm-Liouville boundary value problem of the multi-order fractional differential equation is studied. Results on the existence of solutions are established. The analysis relies on a weighted function space and a fixed point theorem. An example is given to illustrate the efficiency of the main theorems.
متن کاملInitial-boundary-value problems for the generalized multi-term time-fractional diffusion equation
Article history: Received 5 February 2010 Available online 26 August 2010 Submitted by P. Broadbridge
متن کاملInitial-boundary Value Problems for Continuity Equations with Bv Coefficients
We establish well-posedness of initial-boundary value problems for continuity equations with BV (bounded total variation) coefficients. We do not prescribe any condition on the orientation of the coefficients at the boundary of the domain. We also discuss some examples showing that, regardless the orientation of the coefficients at the boundary, uniqueness may be violated as soon as the BV regu...
متن کاملInitial Value/boundary Value Problems for Fractional Diffusion-wave Equations and Applications to Some Inverse Problems
We consider initial value/boundary value problems for fractional diffusion-wave equation: ∂ α t u(x, t) = Lu(x, t), where 0 < α ≤ 2, where L is a symmetric uniformly elliptic operator with t-independent smooth coefficients. First we establish the unique existence of ths weak solutions and the asymptotic behaviour as the time t goes to ∞ and the proofs are based on the eigenfunction expansions. ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematics and Computation
سال: 2015
ISSN: 0096-3003
DOI: 10.1016/j.amc.2014.11.073