We present a five-wave Riemann solver for the equations of ideal relativistic magnetohydrodynamics. Our solver can be regarded as a relativistic extension of the five-wave HLLD Riemann solver initially developed by Miyoshi and Kusano for the equations of ideal MHD. The solution to the Riemann problem is approximated by a five wave pattern, comprised of two outermost fast shocks, two rotational ...

The main goal of this paper is to describe the new version extended Bessel–Maitland function and discuss its special cases. Then, using aforementioned as their kernels, we develop generalized fractional integral differential operators. convergence boundedness newly operators compare them with existing such Saigo Riemann–Liouville are explored. transforms defined in terms Fox–Wright presented. A...

the aim of this paper is to study the high order difference scheme for the solution of a fractional partial differential equation (pde) in the electroanalytical chemistry. the space fractional derivative is described in the riemann-liouville sense. in the proposed scheme we discretize the space derivative with a fourth-order compact scheme and use the grunwald- letnikov discretization of the ri...

in this paper, we use the riemann-liouville fractionalintegrals to establish some new integral inequalities related tochebyshev's functional in the case of two differentiable functions.

In this paper, we establish several necessary conditions to confirm the uniqueness-existence of solutions an extended multi-order finite-term fractional differential equation with double-order integral boundary respect asymmetric operators by relying on Banach’s fixed-point criterion. We validate our study implementing two numerical schemes handle some Riemann–Liouville value problems and obtai...

In this paper, we use the Riemann-Liouville fractionalintegrals to establish some new integral inequalities related toChebyshev's functional in the case of two differentiable functions.

De Bruijn and Newman introduced a deformation of the completed Riemann zeta function ζ, and proved there is a real constant Λ which encodes the movement of the nontrivial zeros of ζ under the deformation. The Riemann hypothesis is equivalent to the assertion that Λ ¤ 0. Newman, however, conjectured that Λ ¥ 0, remarking, “the new conjecture is a quantitative version of the dictum that the Riema...

This paper deals with a model for traffic flow based on a system of conservation laws [2]. We construct a solution of the Riemann Problem at an arbitrary junction of a road network. Our construction provides a solution of the full system. In particular, all moments are conserved. AMS subject classifications: 35Lxx, 35L6

The paper deals with a fluid dynamic model for supply chains. A mixed continuum-discrete model is proposed and possible choices of solutions at nodes guaranteeing the conservation of fluxes are discussed. Fixing a rule a Riemann solver is defined and existence of solutions to Cauchy problems is proved.

This paper discuss the longstanding problems of fractional calculus such as too many definitions while lacking physical or geometrical meanings, and try to extend fractional calculus to any dimension. First, some different definitions of fractional derivatives, such as the Riemann-Liouville derivative, the Caputo derivative, Kolwankar’s local derivative and Jumarie’s modified Riemann-Liouville ...