Homotopy method


Homotopy methods for fractional linear/nonlinear differential equations with a local derivative operator is a scholarly work, published in 2018 in ''Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi''. The main subjects of the publication include mathematical analysis, iterative numerical method, conformable matrix, fractional calculus, partial differential equation, anomalous diffusion, linear map, glossary of archaeology, differential operator, nonlinear system, operon, applied mathematics, mathematics, -, and homotopy. The authors obtain approximate solutions of these mentioned DEs in the form of infinite series which converges rapidly to their exact values by using and homotopy analysis method (HAM) and modified homotopy perturbation method (MHPM).