ANALYTICAL APPROXIMATE SOLUTION OF NON-LINEAR PROBLEM BY HOMOTOPY PERTURBATION METHOD (HPM)
Journal Title: Matrix Science Mathematic | Matriks Sains Matematik (MSMK) - Year 2019, Vol 3, Issue 1
Abstract
In this article, we want to find the analytic approximate solution of nonlinear problems by using Homotopy Perturbation Method. Using the Homotopy Perturbation Method once we express the nonlinear problem into infinite number of sub linear problems and then obtain the solution of linear problems.
Authors and Affiliations
Ihtisham ul Haq
ANALYTIC SOLUTION OF FRACTIONAL JEFFREY FLUID INDUCED BY ABRUPT MOTION OF THE PLATE
This paper presents some new exact solutions corresponding to unsteady fractional Jeffrey fluid produced by a flat plate between two side walls perpendicular to the plate. The fractional calculus approach in the governin...
THE ADOMIAN DECOMPOSITION METHOD FOR SOLVING HIV INFECTION MODEL OF LATENTLY INFECTED CELLS
In this article, the Adomian decomposition method (ADM) is applied to find the solution of HIV infection model of latently infected CD4+T cells. This method investigates the solution of ordinary differential equation whi...
ON APPLICATIONS OF COUPLED FIXED-POINT THEOREM IN HYBRID DIFFERENTIAL EQUATIONS OF ARBITRARY ORDER
In this manuscript, we use fixed point theorem due to Bashiri theory and develop sufficient conditions for existence of solution of coupled system of fractional differential equation in Banach space.
New Types of Fuzzy Interior Ideals of Ordered Semigroups Based on Fuzzy Points
Subscribing to the Zadeh's idea on fuzzy sets, many researchers strive to identify the key attributes of these sets for new finding in mathematics. In this perspective, new types of fuzzy interior ideals called ( qk...
Investigating at Least One Solution to a Systems of Multi-Points Boundary Value Problems
Current article is concerned with the investigating a coupled systems of boundary value problems(BVPs) of fractional order differential equations(FDEs). By means of classical fixed point theorems, we prove the existence...