4 papers
Levinson's theorem and its generalization for Dirichlet L-functions
Swapnil Ray
In this report, we present a proof of Levinson's theorem, following the ideas of Matthew P. Young in 2010, which states that one-third of the non-trivial zeros of the Riemann zeta…
Numerical simulation of time fractional Kudryashov Sinelshchikov equation describing the pressure waves in a mixture of liquid and gas bubbles
Gayatri Das, S. Saha Ray
This article is concerned with an approximate analytical solution for the time fractional Kudryashov Sinelshchikov equation by using the reproducing kernel Hilbert space method. Th…
New analytical solution for time fractional Burgers-Huxley equation describing the interaction between reaction mechanisms and diffusion transport
Gayatri Das, S. Saha Ray
This manuscript studies the numerical solution of the time-fractional Burgers-Huxley equation in a reproducing kernel Hilbert space. The analytical solution of the equation is obta…
Numerical simulation to the time fractional Vakhnenko Parkes equation for modeling the propagation of high frequency waves in relaxation medium
Gayatri Das, S. Saha Ray
This article is concerned with solving the time fractional Vakhnenko Parkes equation using the reproducing kernels. Reproducing kernel theory, the normal basis, some important Hilb…