In this paper, we suggest a new integro-differential equation by utilizing from the concept of
fractal-fractional derivative and integral newly introduced by Atangana. We offer that under …

This article obtains optical solitons to the Biswas-Arshed equation for birefringent fibers with
higher order dispersions and in the absence of four-wave mixing terms, in a media with Kerr …

Azo dye degradation utilizing microorganisms has acquired significance over the last
decades, owing to its beneficial properties such as rapid degradation, economic feasibility …

In this article, we find the solutions to fractional Volterra-type integral equation nonlinear
systems through a Chebyshev pseudo-spectral method (CPM). The fractional derivative is …

The space-time fractional modified equal-width equation is a class of fractional partial
differential equations which have been used widely in nonlinear optics, solid state physics …