Open AccessSemi-Analytic Technique for Solving Fractional Partial Differential Equations with Conformable Derivatives
Author(s) -
Noor I. Ibrahim,
Osama H. Mohammed
Publication year - 2021
Publication title -
al-nahrain journal of science
Language(s) - English
Resource type - Journals
eISSN - 2663-5461
pISSN - 2663-5453
DOI - 10.22401/anjs.24.1.07
Subject(s) - conformable matrix , fractional calculus , mathematics , partial differential equation , partial derivative , derivative (finance) , simple (philosophy) , homotopy analysis method , mathematical analysis , homotopy , pure mathematics , physics , philosophy , epistemology , quantum mechanics , financial economics , economics
In this work, we present a semi-analytical technique to find an approximate result of the conformable fractional partial differential equations (CFPDEs). The fractional order derivative will be in the conformable (CFD) sense. This definition is effective and simple in the solution of the fractional differential equations that have intricate solution with classical fractional derivative definition like Riemann-Liouville and Caputo. Furthermore, the result obtained by the proposed technique is like those in previous studies that used other types of approximate methods like (Homotopy analysis method) but it has the advantage of being simpler than the rest of these methods. In addition, results demonstrate obtained the Precision and effectiveness of the suggested technique.