Solutions for time-fractional coupled nonlinear Schrödinger equations arising in optical solitons

New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model

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Engineering, Mechanical Engineering, Physics +11

Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion

Akira Hasegawa, F. D. Tappert · Applied Physics Letters · 1973 · 2.9K citations

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A new Definition of Fractional Derivative without Singular Kernel

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Natural Sciences, Mathematics, Physics +10

Experimental Observation of Picosecond Pulse Narrowing and Solitons in Optical Fibers

L. F. Mollenauer, R. H. Stolen, J. P. Gordon · Physical Review Letters · 1980 · 2.2K citations

Natural Sciences, Electrical Engineering, Physics +17

A new collection of real world applications of fractional calculus in science and engineering

HongGuang Sun, Yong Zhang, Dumitru Bǎleanu et al. · Communications in Nonlinear Science and Numerical Simulation · 2018 · 1.7K citations

Natural Sciences, Mathematics, Applied Mathematics +13