Abstract
• A family of fractional nonlinear ( 1 + 1 ) dimensions Schrödinger-type models is introduced. • The space-time fractional equation is in the sense of the conformable derivative. • A variety of optical soliton solutions for these equations are obtained. Space-time conformable fractional nonlinear ( 1 + 1 )-dimensional Schrödinger-type models are investigated in this paper. Traveling wave solutions using the sine-Gordon expansion approach for these models are presented. The sine-Gordon expansion method is used to obtain exact solutions for three types of space-time conformable fractional nonlinear Schrödinger-type equations which some of them are new.
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