This article presents the solution of fractional SIR epidemic model using Laplace residual power series method. We introduce in sense Caputo’s derivative; it is presented by three differential equations, which third one depends on first coupled equations. The method (LRPSM) implemented this research to solve proposed model, we present a form convergent expansion that converges rapidly exact one...

ABSTRACT We offer an exact analytical equation for the void central region. show that density is solely determined by amplitude of initial perturbation. Our results suggest N-body simulations somewhat overestimate emptiness voids: majority them should have underdensity $\delta _\mathrm{ c} \gt -73{{\ \rm per\ cent}}$ , and there be almost no voids with \lt -88{{\ cent}}$. The region a part open...

Finite-length armchair graphene nanoribbons can behave as one dimensional topological materials, that may show edge states in their zigzag-terminated edges, depending on width and termination. We here a full solution of Tight-Binding rectangles any length be seen either finite-length or zigzag ribbons. find exact analytical expressions for both bulk eigen-states eigen-energies. write down the C...