In this paper, the boundary value inverse problem related to generalized Burgers–Fisher and Burgers–Huxley equations is solved numerically based on a spline approximation tool. B-splines with quasilinearization Tikhonov regularization methods are used obtain new numerical solutions problem. First, method linearize equation in specific time step. Then, linear combination of approximate largest o...

Kolmogorov-Petrovskii-Piskunov equation can be regarded as a generalized form of the Fitzhugh-Nagumo, Fisher and Huxley equations which have many applications in physics, chemistry biology. In this paper, two fractional ex-tended versions non-linear are solved by analytical methods. Firstly, new more general derivative is defined some properties it given. Secondly, solution operator representat...