168 citations
13 papers
On a Generalized Entropy Measure Leading to the Pathway Model: with a preliminary application to solar neutrino data
A. M. Mathai, H. J. Haubold
An entropy for the scalar variable case, parallel to Havrda-Charvat entropy was introduced by the first author and the properties and its connection to Tsallis non-extensive statis…
Space-time fractional reaction-diffusion equations associated with a generalized Riemann-Liouville fractional derivative
R. K. Saxena, A. M. Mathai, H. J. Haubold
This paper deals with the investigation of the computational solutions of an unified fractional reaction-diffusion equation, which is obtained from the standard diffusion equation…
Boltzmann-Gibbs entropy is sufficient but not necessary for the likelihood factorization required by Einstein
Constantino Tsallis, Hans J. Haubold
In 1910 Einstein published a crucial aspect of his understanding of Boltzmann entropy. He essentially argued that the likelihood function of any system composed by two probabilisti…
Computational solutions of unified fractional reaction-diffusion equations with composite fractional time derivative
R. K. Saxena, A. M. Mathai, H. J. Haubold
This paper deals with the investigation of the computational solutions of an unified fractional reaction-diffusion equation, which is obtained from the standard diffusion equation…
Extension of thermonuclear functions through the pathway model including Maxwell-Boltzmann and Tsallis distributions
H. J. Haubold, D. Kumar
The Maxwell-Boltzmannian approach to nuclear reaction rate theory is extended to cover Tsallis statistics (Tsallis, 1988) and more general cases of distribution functions. An analy…
Pathway parameter and thermonuclear functions
A. M. Mathai, H. J. Haubold
In the theory of thermonuclear reaction rates, analytical evaluation of thermonuclear functions for non-resonant reactions, including cases with cut-off and depletion of the tail o…