...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...

... 08 01 2019 03 04 2019 04 04 2019 © Emerald Publishing Limited 2019 Emerald Publishing Limited Licensed re-use rights only Legendre polynomials Differential quadrature method Caputo derivative Fractional differential equations Adam Bashforth method Runge–Kutta method...

... the literature. Comparison shows the supremacy of proposed method in terms of robust accuracy and swift convergence. Method can work on several similar types of problems. Originality/value It has been demonstrated that many physical systems are modelled more accurately by fractional differential equations...