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