Histamine enhances granulocyte-macrophage colony-stimulating factor and interleukin-6 production by human peripheral blood mononuclear cells

This article presents a numerical method based on the Adams–Bashforth–Moulton scheme to solve variable-order fractional delay differential equations (VFDDEs). In these equations, the variable-order (VO) fractional derivatives are described in the Caputo sense. The existence and uniqueness of the solutions are proved under Lipschitz condition. Numerical examples are presented showing the applicability and efficiency of the novel method.

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An efficient cubic spline approximation for variable-order fractional differential equations with time delay

Yaghoobi

Moghaddam

Ivaz

2016

Nonlinear Dyn

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Numerical approach for a class of distributed order time fractional partial differential equations

Moghaddam

Machado

Morgado

2019

Applied Numerical Mathematics

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A numerical method based on finite difference for solving fractional delay differential equations

Moghaddam

Mostaghim²

2013

Journal of Taibah University for Science

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A stable three-level explicit spline finite difference scheme for a class of nonlinear time variable order fractional partial differential equations

Moghaddam

Machado

2017

Computers & Mathematics with Applications

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A numerical approach for solving a class of variable-order fractional functional integral equations

2018

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Behrouz Parsa Moghaddam

Optimal variable-order fractional PID controllers for dynamical systems

Extended Algorithms for Approximating Variable Order Fractional Derivatives with Applications

An Extended Predictor–Corrector Algorithm for Variable-Order Fractional Delay Differential Equations

An efficient cubic spline approximation for variable-order fractional differential equations with time delay

Numerical approach for a class of distributed order time fractional partial differential equations

A numerical method based on finite difference for solving fractional delay differential equations

A stable three-level explicit spline finite difference scheme for a class of nonlinear time variable order fractional partial differential equations

A numerical approach for solving a class of variable-order fractional functional integral equations

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