2018/05/08 by Ali K. Joohy, Joohy, Ali K.
Mathematics · #Complex Variables (math.CV) #Differential Equations and Numerical Methods #FOS: Mathematics #FOS: Physical sciences #Fractional Differential Equations Solutions #Iterative Methods for Nonlinear Equations #Mathematical Physics (math-ph) #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.1805.03201
openalex publication_date 2018/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this work, we spotted the light on one of the really important concepts\nand turned it into a mathematical branch instead of separate equations studied\nindividually in different specializations of science. The existence and\nuniqueness of solutions for complex differential equations have been proved\nwith many mathematical generalized tools. Homotopy Perturbation Method has been\nused and implemented as a method for solving linear complex differential\nequations with which is the first time such a method used to solve an equation\nin the complex plane. An analytical method of solutions has been investigated\ndeeply with complex series solutions have generalized also using Laurent series\nexpansions. Some really important application in engineering and complex\ngeometry has been implemented with deep understand- ing, such as Airfoil\napplication for airplane and spaceships wings and the fans of jet engines, and\nthe Schwarz-Christoffel transformation.\n