Maximum principle for certain generalized time and space fractional diffusion equations
نویسندگان
چکیده
منابع مشابه
Survey Paper Maximum Principle and Its Application for the Time-fractional Diffusion Equations
Dedicated to Professor Rudolf Gorenflo on the occasion of his 80th anniversary In the paper, maximum principle for the generalized time-fractional diffusion equations including the multi-term diffusion equation and the diffusion equation of distributed order is formulated and discussed. In these equations, the time-fractional derivative is defined in the Caputo sense. In contrast to the Riemann...
متن کاملMaximum principle and numerical method for the multi-term time-space Riesz-Caputo fractional differential equations
The maximum principle for the space and time-space fractional partial differential equations is still an open problem. In this paper, we consider a multi-term time-space Riesz-Caputo fractional differential equations over an open bounded domain. A maximum principle for the equation is proved. The uniqueness and continuous dependence of the solution are derived. Using a fractional predictor-corr...
متن کاملSpace-Time Fractional Reaction-Diffusion Equations Associated with a Generalized Riemann-Liouville Fractional Derivative
This paper deals with the investigation of the computational solutions of a unified fractional reaction-diffusion equation, which is obtained from the standard diffusion equation by replacing the time derivative of first order by the generalized Riemann–Liouville fractional derivative defined by others and the space derivative of second order by the Riesz–Feller fractional derivative and adding...
متن کاملOn certain time- and space-fractional evolution equations
In this article, we present first a new technique to prove, in a general case, the recent result of Cazenave, Dickstein and Weissler [6] on the blowing-up solutions to a temporally nonlocal nonlinear parabolic equation. Then, we study the blow-up rate and the global existence in time of the solutions. Furthermore, we show necessary conditions for global existence.
متن کاملSystem of fuzzy fractional differential equations in generalized metric space
In this paper, we study the existence of integral solutions of fuzzy fractional differential systems with nonlocal conditions under Caputo generalized Hukuhara derivatives. These models are considered in the framework of completegeneralized metric spaces in the sense of Perov. The novel feature of our approach is the combination of the convergentmatrix technique with Schauder fixed point princi...
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: Quarterly of Applied Mathematics
سال: 2015
ISSN: 0033-569X,1552-4485
DOI: 10.1090/s0033-569x-2015-01386-2