...Zain ul Abdeen; Mujeeb ur Rehman Purpose The purpose of this paper is to obtain a numerical scheme for finding numerical solutions of linear and nonlinear Hadamard-type fractional differential equations. Design/methodology/approach The aim of this paper is to develop a numerical scheme...

... polynomials with the least-squares method, numerical solutions of the studied equations can be obtained quickly. Illustrative examples are given to show that the proposed technique has better precision than other numerical methods. Originality/value The proposed algorithm is efficient for the considered...

..., numerical solutions can be quickly obtained in high precision. Presented numerical examples can also indicate that the technique is feasible for this kind of fractional partial differential equations. Numerical solutions Alternative Legendre polynomials Differential operator matrices Space-time...

... Rehman can be contacted at: mujeeburrehman345@yahoo.com Numerical solutions Caputo derivative Fractional differential equations Quadrature method Fractional calculus was first developed as a pure mathematical theory in the middle of nineteenth century (Ross, 1977). About 100 year later...

... and mass transfer Dilating and contracting channel Micropolar fluid Numerical solutions Permeable walls The flow of gasses and liquids in certain practical situations like artificial respiratory system, blood circulation, biological transportation of substances and industrial filling equipment...