LOCAL FRACTIONAL VARIATIONAL ITERATION TRANSFORM METHOD: A TOOL FOR SOLVING LOCAL FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS
Hossein Jafari, Hassan Kamil Jassim, Ali Ansari, Van Thinh Nguyen
Abstract
In this paper, we use the local fractional variational iteration transform method LFVITM to solve a class of linear and nonlinear partial differential equations (PDEs), as well as a system of PDEs which are involving local fractional differential operators (LFDOs). The technique combines the variational iteration transform approach and the Yang–Laplace transform. To show how effective and precise the LFVITM four examples are given.
Topics & Concepts
Fractional calculusMathematicsApplied mathematicsPartial differential equationMathematical analysisFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsMathematical functions and polynomials