fractional equation

fractional equation

[¦frak·shən·əl i′kwā·zhən]
(mathematics)
Any equation that contains fractions.
An equation in which the unknown variable appears in the denominator of one or more terms.
References in periodicals archive ?
16] used the difference method for space-time fractional equation and presented the stability and convergence, Meerschaert and Tadjeran  applied the finite difference approximation for space-fractional equations, Meng  put forward a new approach for solving fractional partial differential equations, Sousa  developed numerical approximations for fractional diffusion equations via splines, Zhou and Wu  proposed the finite element multigrid method for the boundary value problem of fractional advection dispersion equation.
Step 3 substituting (1) into (3), we get a rational fractional equation
Substituting (12) into (10), we get a rational fractional equations which is just for [xi].
Stojanovic: Existenceuniqueness result for a nonlinear n-term fractional equation, J.
Zaslavsky: Some applications of fractional equations, Commun.
Clinical Calculations remains the only text to cover all four major drug calculation methods: basic formula, ratio and proportion, fractional equation, and dimensional analysis.
The aim of this work is to contribute to the development of a new version of fractional fundamental Cattaneo-Vernotte equation applying the idea proposed in the work ; the order considered is (0,2] for the fractional equation in spacetime domain; this representation preserves the dimensionality of the equation for any value taken by the exponent of the fractional derivative.
Considering (18) and assuming that the space derivative is fractional equation (15) and the time derivative is ordinary, the spatial fractional equation is
In this work we have shown that the Caputo's fractional derivative can be used to write the fractional form of the Lagrangian density and the Hamiltonian density for single fluid, then the fractional equations that described the motion of fluids can be obtained from the Euler-Lagrangian equation, and the energy-stress tensor in the fractional form were obtained also, after that we found, the equations of motion from.
Peterson, Comparison theorems and asymptotic behavior of solutions of discrete fractional equations, Electron J.
Li, "A uniform method to Ulam-Hyers stability for some linear fractional equations," Mediterranean Journal of Mathematics, vol.
The mapping includes linear, quadratic and fractional equations, equations that contain an absolute value of an expression, irrational, exponential, logarithmic, trigonometric and literal equations.
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