An application of s-elementary wavelets in numerical solution of differential and fractional integral equations

In this article we introduce wavelet sets and consider a special wavelet set in R. We build a basis associated to this type wavelet sets and use operational matrix of this basis to solve nonlinear Riccati differential equations and Riemann-Liouville fractional integral equations of order $\alpha >0$, numerically. Convergence analysis of this basis is investigated. Also, we give examples that show the accuracy of the new method by comparing it with previous methods

Additive Beneficial Effects Of Aerobic Training And Royal Jelly On Hippocampal Inflammation And Function In Experimental Autoimmune Encephalomyelitis Rats

Abstract Background: Although the beneficial role of training and the use of some antioxidants in physiological and psychological disorders in autoimmune diseases has been reported, the simultaneous effect of aerobic training (AT) and royal jelly (RJ) with different doses is not well understood. The present study aimed to investigate the effect of AT and RJ on inflammatory factors, hippocampus and psychological functions in the experimental autoimmune encephalomyelitis (EAE).Methods: Sprague-Dawley rats with EAE were assigned to seven groups: (1) EAE, (2) sham (Sh), (3) 50 mg / kg RJ (RJ50), (4) 100 mg / kg RJ (RJ100), (5) AT, (6) AT + RJ50, and (7) AT + RJ100 and healthy control. Results: AT decreased IL-17, TGF-β gene expression and immobilization time, while it increased IL-10, OAT% and OAR% compared to the EAE group. RJ50 and RJ100 decreased IL-17, IL-23 gene expression, and immobilization time, and increased IL-10 and OAR% compared to the EAE group. AT + RJ50 and AT + RJ100 decreased IL-17, IL-23, TGF-β, and immobilization time, while increased IL-10 and OAT% compared to the EAE group. The effect of AT + RJ100 on decreasing IL-17, IL-23, immobilization time, increasing TGF-β, IL-10, and OAR% was more favorable than RJ50. Conclusion: AT and RJ improved inflammatory factors and reduced anxiety and depression. The synergistic effect of two interventions, especially using higher doses of RJ were more favorable.</jats:p