A Hopf-Lax formula for Hamilton-Jacobi equations with Caputo time-fractional derivative
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.04.069
Abstract: Abstract We prove a representation formula of Hopf-Lax type for solutions to Hamilton-Jacobi equation involving a Caputo time-fractional derivative. Equations of this type are associated with optimal control problems where the controlled dynamics is given… read more here.
Keywords: time; caputo time; hopf lax; time fractional ... See more keywords
Transport properties of mixed convective nano-material flow considering the generalized fourier law and a vertical surface: Concept of caputo-time fractional derivative
Sign Up to like & getrecommendations! Published in 2022 at "Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy"
DOI: 10.1177/09576509221075110
Abstract: With improved characteristics and thermal stability, the nanoparticles show a significant interest in many engineering and industrial processes. The applications of nanomaterials include applications in solar energy systems, chemical reactors, heating and cooling processes, and… read more here.
Keywords: time; time fractional; fractional derivative; flow ... See more keywords