Exact solutions of fractional heat-like and wave-like equations with variable coefficients

Abstract

Purpose – This paper aims to apply fractional variational iteration method using He's polynomials (FVIMHP) to obtain exact solutions for variable-coefficient fractional heat-like and wave-like equations with fractional order initial and boundary conditions. Design/methodology/approach – The approach is based on FVIMHP. The authors choose as some examples to illustrate the validity and the advantages of the method. Findings – The results reveal that the FVIMHP method provides a very effective, convenient and powerful mathematical tool for solving fractional differential equations. Originality/value – The variable-coefficient fractional heat-like and wave-like equations with fractional order initial and boundary conditions are solved first. Illustrative examples are included to demonstrate the validity and applicability of the method.