Numerical algorithm for the variable-order Caputo fractional functional differential equation

Nonlinear Dynamics ◽

10.1007/s11071-016-2797-y ◽

2016 ◽

Vol 85 (3) ◽

pp. 1815-1823 ◽

Author(s):

A. H. Bhrawy ◽

M. A. Zaky

Keyword(s):

Differential Equation ◽

Functional Differential Equation ◽

Numerical Algorithm ◽

Variable Order ◽

Functional Differential ◽

Fractional Functional

Download Full-text

A numerical solution of variable order fractional functional differential equation based on the shifted Legendre polynomials

SeMA Journal ◽

10.1007/s40324-018-0173-1 ◽

2018 ◽

Vol 76 (2) ◽

pp. 217-226 ◽

Author(s):

Reza Dehghan

Keyword(s):

Differential Equation ◽

Numerical Solution ◽

Functional Differential Equation ◽

Legendre Polynomials ◽

Variable Order ◽

Shifted Legendre Polynomials ◽

Functional Differential ◽

Fractional Functional

Download Full-text

An efficient numerical method for variable order fractional functional differential equation

Applied Mathematics Letters ◽

10.1016/j.aml.2017.08.020 ◽

2018 ◽

Vol 76 ◽

pp. 221-226 ◽

Author(s):

Jiabao Yang ◽

Huanmin Yao ◽

Boying Wu

Keyword(s):

Differential Equation ◽

Numerical Method ◽

Functional Differential Equation ◽

Variable Order ◽

Functional Differential ◽

Fractional Functional

Download Full-text

A numerical solution for variable order fractional functional differential equation

Applied Mathematics Letters ◽

10.1016/j.aml.2016.08.018 ◽

2017 ◽

Vol 64 ◽

pp. 125-130 ◽

Author(s):

Yun-Tao Jia ◽

Min-Qiang Xu ◽

Ying-Zhen Lin

Keyword(s):

Differential Equation ◽

Numerical Solution ◽

Functional Differential Equation ◽

Variable Order ◽

Functional Differential ◽

Fractional Functional

Download Full-text

POSITIVE SOLUTIONS FOR BOUNDARY VALUE PROBLEM OF SINGULAR FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATION

International Journal of Pure and Apllied Mathematics ◽

10.12732/ijpam.v92i2.3 ◽

2014 ◽

Vol 92 (2) ◽

Author(s):

L. Song

Keyword(s):

Differential Equation ◽

Boundary Value Problem ◽

Positive Solutions ◽

Functional Differential Equation ◽

Boundary Value ◽

Functional Differential ◽

Fractional Functional

Download Full-text

ψ-Hilfer Fractional Functional Differential Equation by Picard Operator Method

Journal of Applied Nonlinear Dynamics ◽

10.5890/jand.2020.12.011 ◽

2020 ◽

Vol 9 (4) ◽

pp. 685-702 ◽

Author(s):

Mohammed A. Almalahi ◽

Mohammed S. Abdo ◽

Satish K. Panchal

Keyword(s):

Differential Equation ◽

Functional Differential Equation ◽

Operator Method ◽

Picard Operator ◽

Functional Differential ◽

Fractional Functional

Download Full-text

On the Fractional Functional Differential Equation with Abstract Volterra Operator

Bulletin of the Brazilian Mathematical Society New Series ◽

10.1007/s00574-019-00139-y ◽

2019 ◽

Vol 50 (4) ◽

pp. 803-822 ◽

Author(s):

J. Vanterler da C. Sousa ◽

E. Capelas de Oliveira ◽

Kishor D. Kucche

Keyword(s):

Differential Equation ◽

Functional Differential Equation ◽

Volterra Operator ◽

Functional Differential ◽

Fractional Functional

Download Full-text

A TIME FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATION DRIVEN BY THE FRACTIONAL BROWNIAN MOTION

Journal of Applied Analysis & Computation ◽

10.11948/2156-907x.20180068 ◽

2019 ◽

Vol 9 (2) ◽

pp. 547-567 ◽

Author(s):

Jingqi Han ◽

◽

Litan Yan

Keyword(s):

Differential Equation ◽

Brownian Motion ◽

Fractional Brownian Motion ◽

Functional Differential Equation ◽

Functional Differential ◽

Fractional Functional

Download Full-text

On the nonexistence of blowing-up solutions to a fractional functional-differential equation

Georgian Mathematical Journal ◽

10.1515/gmj-2012-0006 ◽

2012 ◽

Vol 19 (1) ◽

Author(s):

Mokhtar Kirane ◽

Milan Medved' ◽

Nasser-eddine Tatar

Keyword(s):

Differential Equation ◽

Functional Differential Equation ◽

Functional Differential ◽

Blowing Up Solutions ◽

Fractional Functional

Download Full-text

Existence of positive solutions for nonlinear fractional functional differential equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2012.01.081 ◽

2012 ◽

Vol 64 (10) ◽

pp. 3456-3467 ◽

Author(s):

Yulin Zhao ◽

Haibo Chen ◽

Li Huang

Keyword(s):

Differential Equation ◽

Positive Solutions ◽

Functional Differential Equation ◽

Existence Of Positive Solutions ◽

Functional Differential ◽

Fractional Functional

Download Full-text

Existence results for non-instantaneous impulsive fractional functional differential equation with infinite delay

Fractional Differential Calculus ◽

10.7153/fdc-2021-11-03 ◽

2021 ◽

pp. 35-53

Author(s):

Jayanta Borah ◽

Swaroop Nandan Bora

Keyword(s):

Differential Equation ◽

Functional Differential Equation ◽

Infinite Delay ◽

Existence Results ◽

Functional Differential ◽

Fractional Functional

Download Full-text