...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. where x ≥ 0, and m ∈ ℕ (ℕ denote positive integers). For constant C...

... problems. Mujeeb ur Rehman can be contacted at: mujeeburrehman345@yahoo.com Numerical solutions Caputo derivative Fractional differential equations Quadrature method This section comprises main integration rules that will be used repeatedly to develop numerical method for fractional...

... Emerald Publishing Limited 2017 Emerald Publishing Limited Licensed re-use rights only Chemical reaction Heat and mass transfer Dilating and contracting channel Micropolar fluid Numerical solutions Permeable walls The flow of gasses and liquids in certain practical situations like...