Stability analysis of fractional difference equations with delay.

Long-term memory is a feature observed in systems ranging from neural networks to epidemiological models. The memory in such systems is usually modeled by the time delay. Furthermore, the nonlocal operators, such as the "fractional order difference," can also have a long-time memory.

Investigation of new 1,2,3-triazolyl-quinolinyl-propan-2-ol derivatives as potential antimicrobial agents: and approach.

A new series of 1-((1-(4-substituted benzyl)-1-1,2,3-triazol-4-yl)methoxy)-2-(2-substituted quinolin-4-yl)propan-2-ol () have been synthesized. The newly synthesized 1,2,3-triazolyl-quinolinyl-propan-2-ol () derivatives were screened for antimicrobial activity against H37Rv, , , , and . Most of the compounds showed good to moderate antibacterial activity and all derivatives have shown excellent to good antitubercular activity with MIC 0.

Study of low-dimensional nonlinear fractional difference equations of complex order.

We study the fractional maps of complex order, , for 0 < < 1 and 0 ≤ r < 1 in one and two dimensions. In two dimensions, we study Hénon, Duffing, and Lozi maps, and in 1 d, we study logistic, tent, Gauss, circle, and Bernoulli maps. The generalization in 2 d can be done in two different ways, which are not equivalent for fractional order and lead to different bifurcation diagrams.

Hyperinfection with presenting as acute abdomen in a patient on corticosteroid therapy: A case report.

Infection with Strongyloides stercoralis, a human pathogenic roundworm, is common in tropical countries like India. Owing to its variable clinical presentation and irregular larval output in stool, it often remains neglected and underdiagnosed. Signs and symptoms are largely dependent on the immune status of the infected individual.