In this article, a new version of the generalized F-expansion method is proposed enabling to obtain exact solutions Biswas-Arshed equation and Boussinesq defined by Atangana’s beta-derivative. First, introduced, then, nonlinear fractional differential equations expressed with beta-derivative are given. When results examined, it seen that single, combined, mixed Jacobi elliptic function obtained...

The modified $F(R)$ gravity theory with the function $F(R)=-(1/\beta)\ln(1-\beta R)$ is studied. action at small coupling $\beta$ becomes Einstein--Hilbert action. bound on parameter from local tests $\beta\leq 2\times 10^{-6}$ cm$^2$. We find constant curvature solutions and it was shown that de Sitter space unstable but a solution zero Ricci scalar stable. potential mass of field (scalaron) a...

Background: Thalassemia is the most common blood disorder in the world. This hereditary anemia, Which develops due to a constitutional imbalance in alpha and beta chains of adult haemoglobin (hbA), has serious and life- threatening complications (accompanied by haemolysis and bone deformities) in its major form. We may encounter a diverse collection of articles in world research centers about t...

background: skin cancer can be treated by various methods. electron radiotherapy has been a useful therapeutic modality in the treatment of skin cancers in areas which are difficult to cure by other methods. depth dose distribution of 166ho using varskin2 code is presented in this work. material and methods: depth dose distribution of 166ho was calculated, using varskin2 code by adding of 166ho...

This paper deals with the existence of $N$ vortex patches located at vertex a regular polygon sides that rotate around center constant angular velocity. That is done for Euler and (SQG)$_\beta$ equations, $\beta\in(0,1)$, but may be also extended to more general models. The idea desingularization Thomsom point system, is, vortices sides. proof based on study contour dynamics equation combined a...