A generalization of the canonical coherent states a quantum harmonic oscillator has been performed by requiring conditions normalizability, continuity in label, and resolution identity operator with positive weight function. Relying on this approach, present scenario, are generalized over or finite dimensional Fock space oscillator. class is determined such that corresponding distributions numb...

In this study, a generalized solution for the helical motion of charged particle in uniform electric and magnetic fields is obtained using powerful fractional derivative approach. Using approach, differential equations that describe were obtained. The presented great detail terms series Mittag-Leffler function. Laplace transform technique was used to solve regular form (with parameter γ). Two t...

Models, mathematical or stochastic, which move from one functional form to another through pathway parameters, so that in between stages can be captured, are examined in this article. Models which move from generalized type-1 beta family to type-2 beta family, to generalized gamma family to generalized Mittag-Leffler family to Lévy distributions are examined here. It is known that one can likel...

We present a numerical method for the Monte Carlo simulation of uncoupled continuous-time random walks with a Lévy alpha -stable distribution of jumps in space and a Mittag-Leffler distribution of waiting times, and apply it to the stochastic solution of the Cauchy problem for a partial differential equation with fractional derivatives both in space and in time. The one-parameter Mittag-Leffler...

In this paper a closed form solution of a fractional integro-differential equation of Volterra type involving Mittag-Leffler function has been obtained using straight forward technique of Sumudu transform. Some particular cases have also been considered.

In economics, depreciation functions (operator kernels) are certain decreasing functions, which assumed to be equal unity at zero. Usually, an exponential function is used as a function. However, in operator kernels do not allow simultaneous consideration of memory effects and effects. this paper, it proposed consider non-exponential type, simultaneously take into account by using the Prabhakar...