This article consists of Improved Bernoulli Sub-Equation Function Method (IBSEFM) to get the new solutions nonlinear fractional Schrödinger equation described by beta-derivative. Foremost, it is dealt with derivative Atangana. Secondly, basic properties IBSEFM are given. Finally, proposed method has been applicated considered its solutions. Moreover, graphs obtained plotted via Mathematica. It ...

Viscoelastic fluids, such as polymers, paints, and DNA suspensions, are almost everywhere very useful in the industry. This article aims to study significance of ramped temperature dynamics viscoelastic fluid. Magnetohydrodynamic (MHD) effect is considered presence Lorentz force. The flow a porous medium using generalized Darcy’s law. Heat transfers through convection, fluid near plate takes he...

(1) Background: symmetry breaking (self-organized transformation of symmetric stats) is a global phenomenon that arises in an extensive diversity essentially physical structures. We investigate the time-2D space fractional wave equation complex domain; (2) Methods: differential operator used together with to define new operator. Then by applying operator, we formulate generalized equation. shal...

The aim of this research is to explore fractional integral inequalities that involve interval-valued preinvex functions. Initially, a new set operators introduced uses the extended generalized Mittag-Leffler function Eμ,α,lγ,δ,k,c(τ;p) as kernel in interval domain. Additionally, form Atangana–Baleanu operator defined using same kernel, which unifies multiple existing operators. By varying param...

the present study aims at indicating the existence and uniqueness result of system in extended colombeaualgebra. the caputo fractional derivative is used for solving the system of odes. in addition, rieszfractional derivative of colombeau generalized algebra is considered. the purpose of introducing rieszfractional derivative is regularizing it in colombeau sense. we also give a solution to a n...

in this paper, exp-function and (g′/g)expansion methods are presented to derive traveling wave solutions for a class of nonlinear space-time fractional differential equations. as a results, some new exact traveling wave solutions are obtained.