In this paper, we introduce $rho$-altering $J$-type mappings in modular spaces. We prove some fixed point theorems for $rho$-altering and $rho$-altering $J$-type mappings in modular spaces. We also furnish illustrative examples to express relationship between these mappings. As a consequence, the results are applied to the existence of solution of an integral equation arising from an ODE ...

Urysohn integral equation is one of the most applicable topics in both pure and applied mathematics. The main objective of this paper is to solve the Urysohn type Fredholm integral equation. To do this, we approximate the solution of the problem by substituting a suitable truncated series of the well known Legendre polynomials instead of the known function. After discretization of the problem o...

OBJECTIVE To improve the performance of glomerular filtration rate (GFR) estimating equation in Chinese type 2 diabetic patients by modification of the CKD-EPI equation. DESIGN AND PATIENTS A total of 1196 subjects were enrolled. Measured GFR was calibrated to the dual plasma sample 99mTc-DTPA-GFR. GFRs estimated by the re-expressed 4-variable MDRD equation, the CKD-EPI equation and the Asian...

Considering the fractal structure of space-time, a Burgers – Korteweg – de Vries (BKdV) type equation is obtained. Particularly, if the motions of the “non-differentiable fluid” are irrotational, the BKdV type equation is reduced to a non-linear Schrödinger type equation. In this case, the scalar complex velocity field simultaneously becomes wave function.

The integrable coupled nonlinear Schrödinger equation of Manakov type is widely used in recent developments in the field of optical solitons in fibers. The use and applications of the equation is to explain how the solitons waves transmit in optical fiber, what happens when the interaction among optical solitons influences directly the capacity and quality of communication and so on. Some of ex...

The multiple scale expansion method is used to derive amplitude equations for a system with thermohaline convection in the neighborhood of Hopf and Taylor bifurcation points and at the double zero point of the dispersion relation. A complex Ginzburg-Landau equation, a Newell-Whitehead-type equation, and an equation of the φ type, respectively, were obtained. Analytic expressions for the coeffic...

Side weir is a type of weirs that used extensively in a variety ofengineering projects such as river engineering, dam,waste water , Irrigation and drainage network. So the study on the flow characteristics on the type weir, is one of the mostimportant topics in hydraulic engineering. The spatially varied flow (S.V.F)with discharge decreasing is governing equation to this type weir.Study on the ...

the purpose of this research was to study and predict fuel consumption rate of tractor due to different aspect ratios of chisel plow blade and to determine a general relationship equation between aspect ratio ( ) and fuel consumption rate.  an itm-399 (81 kw) tractor and a mounted-type chisel plow with 9 shanks were used. the 5 and 10 cm width chisel blades were used. the experiments were condu...