Fuzzy differential equations have gained significant attention in recent years due to their ability model complex systems the presence of uncertainty or imprecise information. These find applications various fields, such as biomathematics, horological processes, production inventory models, epidemic fluid and economic investments. The Fisher is one example, which studies dynamics a population w...

Kolmogorov-Petrovskii-Piskunov equation can be regarded as a generalized form of the Fitzhugh-Nagumo, Fisher and Huxley equations which have many applications in physics, chemistry biology. In this paper, two fractional ex-tended versions non-linear are solved by analytical methods. Firstly, new more general derivative is defined some properties it given. Secondly, solution operator representat...

In the present article, time fractional Fisher equation is considered in conformal form to study application of Lie classical method and quantitative analysis. The symmetry has been applied find infinitesimal generators reductions equation. obtained reduced solved by G ′ / ...

Alternative proofs for the superadditivity and affinity (in large system limit) of usual some fractional Fisher informations a probability density many variables are provided. They consequences fact that such can be interpreted as quantum kinetic energies. Erratum: The month information has been corrected from January to February. We apologize any inconvenience this may cause.

In this article, approximate solutions of some PDE fractional order are investi?gated with the help a new semi-analytical method called optimal auxiliary function method. The proposed was tested upon time-fractional Fisher equation, Fornberg-Whitham and Inviscid Burger equation. beauty is that there no need for discretization assumptions small or large parameters provides an ap?proximate soluti...

Large-N, e-expansion or the conformal bootstrap allow one to make sense of some of conformal field theories in non-integer dimension, which suggests that AdS/CFT may also extend to fractional dimensions. It was shown recently that the sphere free energy and the a-anomaly coefficient of the free scalar field can be reproduced as a one-loop effect in the dual higher-spin theory in a number of int...