The aim of this paper is solving nonlinear Volterra-Fredholm fractional integro-differential equations with mixed boundary conditions‎. ‎The basic idea is to convert fractional integro-differential equation to a type of second kind Fredholm integral equation‎. ‎Then the obtained Fredholm integral equation will be solved with Nystr"{o}m and Newton-Kantorovitch method‎.  ‎Numerical tests for demo...

rolling-based seismic isolation systems, in which rollers of circular or non-circular section are used, are less expensive and easier to manufacture. however, this type of isolation suffers from either lack of restoring or re-centering capability, or weakness against uplift forces. to resolve the first shortcoming the use of elliptical as well as pillow-shape rolling parts has been suggested, a...

An alternative type of nonlinear evolution equation is derived that describes interfacial waves in a two-layer fiuid system. The equation presented here is a higher-order version of the Benjamin-Ono (BO) equation. A solitary-wave solution of the equation is obtained by means of a singular perturbation method. The characteristics of the solution are discussed in comparison with those for a highe...

a literature review revealed that most of the empirical equations introduced for determination of the uniaxial compressive strength (ucs) of rocks based on the schmidt hammer rebound number (n) are not sufficiently reliable mostly due to the relatively low coefficient of correlations. this is attributed to the fact that in most cases one formula is used for all types of rocks, although...

this paper presents some results concerning the existence of solutions for a functional integral equation of volterra type in two variables, via measure of noncompactness. two examples are included to illustrate the main result.

It has been shown that the enzymic addition of valine to valine transfer ribonucleic acid (tRNA) of Escherichia co2i is exceedingly sensitive to alcohol or salt concentrations and that the rate of the reaction is predictable from the Debye-Htickel equations, if it is assumed that there are somewhat more than 4 positive charges and 4 negative charges involved in the rate-determining step. (For i...