Numerical solution of distributed order fractional differential equations

JT Katsikadelis - Journal of Computational Physics, 2014 - Elsevier
method for the numerical solution of distributed order FDEs (fractional differential equations)
… In this paper a numerical method is presented for solving distributed order FDEs of the form(…

Numerical solution of distributed order fractional differential equations by hybrid functions

S Mashayekhi, M Razzaghi - Journal of computational physics, 2016 - Elsevier
… paper, a new numerical method for solving the distributed fractional differential equations
is … a new direct computational method for solving the distributed order FDEs of the form in …

[HTML][HTML] Legendre wavelets approach for numerical solutions of distributed order fractional differential equations

B Yuttanan, M Razzaghi - Applied Mathematical Modelling, 2019 - Elsevier
… In this study, a new numerical method for the solution of the linear and nonlinear distributed
fractional differential equations is introduced. The fractional derivative is described in the …

Numerical solution of distributed order integro-differential equations

A Zhang, RM Ganji, H Jafari, MN Ncube, L Agamalieva - Fractals, 2022 - World Scientific
… In this paper, a numerical algorithm is … numerical solutions of differential equations. In
particular, we want to approximate the solution of the distributed order integro-differential equation

[HTML][HTML] Numerical analysis for distributed-order differential equations

K Diethelm, NJ Ford - Journal of Computational and Applied Mathematics, 2009 - Elsevier
Eq. (17) is the ( n + 1 ) -term fractional differential equation that we will solve numerically
in … We shall return to analyse the error in solutions that arise when (2) is approximated by (17) …

An efficient method for numerical solutions of distributed-order fractional differential equations

N Jibenja, B Yuttanan… - Journal of …, 2018 - asmedigitalcollection.asme.org
… This paper presents an efficient numerical method for solving the distributed fractional
differential equations (FDEs). The suggested framework is based on a hybrid of block-pulse …

Multi-order fractional differential equations and their numerical solution

K Diethelm, NJ Ford - Applied Mathematics and Computation, 2004 - Elsevier
… We consider the numerical solution of (possibly nonlinear) fractional … presents the first
viable numerical method for the solution of nonlinear multi-order fractional differential equations. …

On the formulation and numerical simulation of distributed-order fractional optimal control problems

MA Zaky, JAT Machado - … in Nonlinear Science and Numerical Simulation, 2017 - Elsevier
… by ordinary distributed-order fractional differential equations (DFDEs). Secondly, we
propose an efficient numerical scheme for solving an unconstrained convex distributed optimal …

Numerical solutions of distributed order fractional differential equations in the time domain using the Müntz–Legendre wavelets approach

K Maleknejad, J Rashidinia… - … Differential Equations, 2021 - Wiley Online Library
… In this paper, a numerical method is presented to obtain and analyze the behavior of
numerical solutions of distributed order fractional differential equations of the general form in the …

[PDF][PDF] The fractional distributed order oscillator. A numerical solution

JT Katsikadelis - J. Serb. Soc. Comput. Mech, 2012 - academia.edu
… with fractional distributed-order (… fractional distributed-order oscillator. The investigation is
achieved by developing an efficient numerical method for solving FDO differential equations. …