SOLVABILITY FOR A CLASS OF FDES WITH SOME (e₁, e₂, θ)-NONLOCAL ANTI PERIODIC CONDITIONS AND ANOTHER CLASS OF KDV BURGER EQUATION TYPE

Abstract

In this paper, we work two different problems. First, we investigate a new class of fractional differential equations involving Caputo sequential derivative with some (e₁, e₂, θ)-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.