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Iqbal Jebril,Yazid GOUARI,Mahdi RAKAH,Zoubir Dahmani 경남대학교 수학교육과 2023 Nonlinear Functional Analysis and Applications Vol.28 No.4
In this paper, we work two different problems. First, we investigate a new class of fractional differential equations involving Caputo sequential derivative with some $(e_1,e_2, \theta )-$periodic conditions. The existence and uniqueness of solutions are proven. The stability of solutions is also discussed. The second part includes studying traveling wave solutions of a conformable fractional Korteweg-de Vries-Burger (KdV Burger) equation through the Tanh method. Graphs of some of the waves are plotted and discussed, and a conclusion follows.