Applying adiabatic, cyclic two-parameter modulations we investigate quantum heat transfer across an anharmonic molecular junction contacted with two heat baths. We demonstrate that the pumped heat typically exhibits a Berry-phase effect in providing an additional geometric contribution to heat flux. Remarkably, a robust fractional quantized geometric phonon response is identified as well. The p...

The studies of classical nanofluids are restricted to models described by partial differential equations of integer order, and the memory effects are ignored. Fractional nanofluids, modeled by differential equations with Caputo time derivatives, are able to describe the influence of memory on the nanofluid behavior. In the present paper, heat and mass transfer characteristics of two water-based...

This article discusses an iterative transformation method via fuzziness that mixtures the Laplace transform with method. Using Caputo derivative operator, proposed technique demonstrates inherent reliability of fractional fuzzy biological population equations initial conditions. The obtained results to are more general and apply a broad variety problems. A parametric description solutions is by...

In this study, we apply a recently developed idea of up and down fuzzy-ordered relations between two fuzzy numbers. Here, consider Riemann–Liouville fractional integrals to establish the Hermite–Hadamard-, Fejér-, Pachpatte-type inequalities. We estimate inequalities for newly introduced class ?-preinvexity over fuzzy-number valued settings. For first time, such involving functions are proven u...

The symmetric function class interacts heavily with other types of functions. One these is the pre-invex class, which strongly related to symmetry theory. This paper proposes a novel fuzzy fractional extension Hermite-Hadamard, Hermite-Hadamard-Fejér, and Pachpatte type inequalities for up down fuzzy-number-valued mappings. Using operators, several generalizations have been developed, where wel...

Heat pumps offer economical alternatives of recovering heat from different sources for use in various industrial, commercial and residential applications. In this study, singlestage air-source vapor compression heat pump system has been optimized using a genetic algorithm (GA) and fuzzy logic (FL). The necessary thermodynamic properties for optimization were calculated by FL. Thermodynamic prop...