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Fundamental stochastic solutions for the conformable fractional NLSE with spatiotemporal dispersion via exponential distribution

In this work, the conformable fractional derivative with the unified solver method are used in the suitable cases to extract new solutions for space-time stochastic fractional nonlinear Schrödinger equation (NLSE) with spatiotemporal dispersion. Namely, some new stochastic solutions with physical parameters for this equation are constructed via exponential distribution. Exponential distribution is employed to clarify the dispersion random effect. The expectation (mean) of stochastic solutions are depicted to exhibit the effect of random parameters on the solutions of space-time stochastic fractional NLSE with spatiotemporal dispersion. These results are highly applicable to develop new theories of plasma physics, industrial studies, biomedical problems, condense matter physics and optical fibers. Simulations are performed by using Maple software. According to the presented results, the proposed technique can be applied for other fractional models arising in natural sciences.