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Maximum Principle and Its Application for the Time-Fractional Diffusion Equations

Luchko, Yury (2011)

Fractional Calculus and Applied Analysis

MSC 2010: 26A33, 33E12, 35B45, 35B50, 35K99, 45K05 Dedicated to Professor Rudolf Gorenflo on the occasion of his 80th anniversaryIn 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-Liouville fractional derivative, the Caputo fractional...

Microlocal time decays for hyperbolic eqations with lower order terms.

Ruzhansky, Michael (2008)

Novi Sad Journal of Mathematics

Models for phase separation and their mathematics.

Fife, Paul C. (2000)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Monotone operators. A survey directed to applications to differential equations

Jan Franců (1990)

Aplikace matematiky

The paper deals with the existence of solutions of the form $A u = b$ with operators monotone in a broader sense, including pseudomonotone operators and operators satisfying conditions $S$ and $M$ . The first part of the paper which has a methodical character is concluded by the proof of an existence theorem for the equation on a reflexive separable Banach space with a bounded demicontinuous coercive operator satisfying condition ${(M)}_{0}$ . The second part which has a character of a survey compares various types of...

Displaying 1 – 4 of 4

Maximum Principle and Its Application for the Time-Fractional Diffusion Equations

Microlocal time decays for hyperbolic eqations with lower order terms.

Models for phase separation and their mathematics.

Monotone operators. A survey directed to applications to differential equations

Currently displaying 1 – 4 of 4