Abstract
In this article, we introduce a family of nonlinear (1+1) dimensions Schrödinger-type models with space-time fractional evolution in the sense of a conformable fractional derivative. We apply the modified Kudryashov method in context of fractional complex transformation and seek a variety of optical soliton solutions for these equations. The modified Kudryashov method is efficient and consistent for solving nonlinear space-time fractional differential equations.
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