The goal of this research is to reveal the unknown time dependent diffusion coefficient in space-time fractional differential equations by means Taylor series method. Unlike most methods used inverse problems, using no over-measured data a substantial advantage method.
 As result, could be determined with high precision. Illustrative examples shows that retrieved and solution problem are a...

Renewable energy supplies are steadily gaining increasing importance in all the countries. In particular, solar energy, being non-polluting, clean and inexhaustible, has received wide attention among scientists and engineers. Though there are many advantages, an important factor is that solar energy is time dependent energy source with an intermittent character. Hence some form of thermal energ...

An L-cell line adapted to grow in protein-free medium is a source of material that stimulates the proliferation of serum-dependent BHK cells under otherwise protein-free conditions. The material produced by the L-cells is resolvable into separate DNA-synthetic and mitotic stimulatory activities. The stimulation of mitosis is dependent upon the presence of one or more heat-labile macromolecules,...

We prove existence of a solution for a polymer crystal growth model describing the movement of a front (Γ(t)) evolving with a nonlocal velocity. In this model the nonlocal velocity is linked to the solution of a heat equation with source δΓ. The proof relies on new regularity results for the eikonal equation, in which the velocity is positive but merely measurable in time and with Hölder bounds...

Gravitational collapse of cylindrical anisotropic fluid has been considered in analogy with the work of Misner and Sharp. Using Darmois matching conditions, the interior cylindrical dissipative fluid (in the form of shear viscosity and heat flux )is matched to an exterior vacuum Einstein–Rosen space-time. It is found that on the bounding 3-surface the radial pressure of the anisotropic perfect ...

Ventilation flows generated by a localised heat source within room containing two openings to the ambient environment are examined. The representative of doorway and high-level vent, steady two-layer stratification well-mixed fluid is established for all cases considered. Classical displacement ventilation flow observed when interface between layers above height doorway. Displacement can persis...

Little is known in the literature about concept of nonuniform heat source/sink and higher-order chemical reaction for dynamics Oldroyd-B nanoparticles. Therefore, present article addresses features nonlinear mixed convection bidirectional MHD nanoparticles with thermal radiation aspects through porous space. Stratification effects both temperature concentration setups are also used mathematical...

The synthesis of heat integrated multi-component distillation systems is complex due to its huge search space for structural combination and optimization computation. To provide a systematic approach and tools for the synthesis design of distillation systems, a new method for modeling heat integrated columns is presented, and the operating cost objective function is minimized by improved harmon...

We consider a collision between moving particle and fixed system, each having internal degrees of freedom. identify the regime where motion acts as work source for joint leading to energy changes which preserve entropy. This arises when has high kinetic its quantum state is broad in momentum narrow space, whether pure or mixed. In this case, scattering map ruling dynamics freedom becomes unitar...