In the classical Batalin–Vilkovisky formalism, BV operator $$\Delta $$ is a differential of order two with respect to commutative product. graded setting, it known that if homotopically trivial, then there tree level cohomological field theory induced on homology; this manifestation fact homotopy quotient operad algebras by represented hypercommutative algebras. paper, we study generalized wher...

Abstract In this manuscript we will present the theoretical framework of recently proposed infinite derivative theory gravity with a non-symmetric connection. We explicitly derive field equations at linear level and obtain new solutions non-trivial form torsion tensor in presence fermionic source, show that these are both ghost singularity-free.

In this paper, transverse and longitudinal vibration of nonlinear plate under exciting of orbiting mass is considered based on first-order shear deformation theory. The nonlinear governing equation of motion are discretized by the finite element method in combination with Newmark’s time integration scheme under von Karman strain-displacement assumptions. For validation of method and formulation...