This paper extends the homotopy perturbation Sumudu transform method (HPSTM) to solve linear and nonlinear fractional Klein-Gordon equations. To illustrate the reliability of the method, some examples are presented. The convergence of the HPSTM solutions to the exact solutions is shown. As a novel application of homotopy perturbation sumudu transform method, the presented work showed some essential difference with existing similar application four classical examples also highlighted the significance of this work.

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The advection diffusion equation was solved analytically using separation of variables technique, considering first the wind speed and eddy diffusivity as constants; second as variables dependent on vertical height z. Comparison between predicted two models and observed concentration on Inshas, Cairo (Egypt) is done.

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Background: Aspergillus versicolor is a marine-derived fungi isolated from Hyrtios erectus Red Sea sponge. The aim of this study was to carry out a pharmacological screening and investigation for the in vitro biological activity (antioxidant, cholinergic, antidiabetic and anticancer) of Aspergillus versicolor crude extracts active compounds by using different qualitative and quantitative methods. Results: The present study results showed that Aspergillus versicolor crude extracts contain 0.6 mg total phenolic/mg crude extract. Aspergillus versicolor showed also a potent anioxidative capacity by decreasing the oxidation of ABTS. The anticancer and inhibitory effects of Aspergillus versicolor crude extracts on PTK and SHKI were found to be 75.29 % and 80.76%; respectively. The AChE inhibitory assay revealed that Aspergillus versicolor extracts had an inhibitory percentage of 86.67%. Furthermore, the anti-inflammatory activity using COX1, COX2, TNF, and IL6 were 77.32, 85.21 %, 59.83%, and 56.15%; respectively. Additionally, the anti-viral effect using reverse transcriptase enzyme showed high antiviral activity with 92.10 %. Conclusion: The current study cleared out that the Aspergillus versicolor crude extract and its active constituents showed strong effects on diminishing the oxidative stress, neurodegenerative damage, anti-inflammatory, anticancer and anti-viral suggesting its beneficial as a promising fermented product in the treatment of cancer, oxidative stress, alzheimer, anti-inflammatory and anti-viral.