Computational study on the dynamics of fractional order differential equations with applications

K Shah, M Arfan, A Ullah, Q Al-Mdallal, KJ Ansari… - Chaos, Solitons & …, 2022 - Elsevier
In this research work, the analysis of general fractional order system is investigated under
Atangana, Baleanu and Caputo (ABC) fractional order derivative. Our study is related to …

Modified Adomian decomposition method for solving fuzzy Volterra-Fredholm integral equation

AA Hamoud, KP Ghadle - The Journal of the Indian …, 2018 - informaticsjournals.co.in
In this paper, a modied Adomian decomposition method has been applied to approximate
the solution of the fuzzy Volterra-Fredholm integral equations of the first and second Kind …

Solving multi-term linear and non-linear diffusion–wave equations of fractional order by Adomian decomposition method

V Daftardar-Gejji, S Bhalekar - Applied Mathematics and Computation, 2008 - Elsevier
Solving multi-term linear and non-linear diffusion–wave equations of fractional order by
Adomian decomposition method - ScienceDirect Skip to main contentSkip to article Elsevier …

Numerical method for solving linear Fredholm fuzzy integral equations of the second kind

S Abbasbandy, E Babolian, M Alavi - Chaos, Solitons & Fractals, 2007 - Elsevier
In this paper we use parametric form of fuzzy number and convert a linear fuzzy Fredholm
integral equation to two linear system of integral equation of the second kind in crisp case …

Analysis of the Fuzzy Fractional‐Order Solitary Wave Solutions for the KdV Equation in the Sense of Caputo‐Fabrizio Derivative

M Naeem, H Rezazadeh, AA Khammash… - Journal of …, 2022 - Wiley Online Library
In this paper, we construct a system for analysis of an analytic solution of fractional fuzzy
solitary wave solutions for the Korteweg–De Vries (KdV) equation. We apply the iterative …

[HTML][HTML] Valid implementation of Sinc-collocation method to solve the fuzzy Fredholm integral equation

S Noeiaghdam, MAF Araghi, S Abbasbandy - Journal of Computational …, 2020 - Elsevier
The main purpose of this work is to validate the numerical solution of fuzzy Fredholm integral
equation (IE) by applying the Sinc-collocation method (S-CM) based on the double …

[HTML][HTML] A hybrid method for solving fuzzy Volterra integral equations of separable type kernels

A Ullah, Z Ullah, T Abdeljawad, Z Hammouch… - Journal of King Saud …, 2021 - Elsevier
The paper deals with the computation of solutions of fuzzy Volterra integral equations with
degenerate kernel by applying a hybrid method. The proposed method is built on Laplace …

[HTML][HTML] Application of fuzzy differential transform method for solving fuzzy Volterra integral equations

S Salahshour, T Allahviranloo - Applied Mathematical Modelling, 2013 - Elsevier
This paper deals with the solutions of fuzzy Volterra integral equations with separable kernel
by using fuzzy differential transform method (FDTM). If the equation considered has a …

A new Bernoulli wavelet method for accurate solutions of nonlinear fuzzy Hammerstein–Volterra delay integral equations

PK Sahu, SS Ray - Fuzzy Sets and Systems, 2017 - Elsevier
In this article, Bernoulli wavelet method has been developed to solve nonlinear fuzzy
Hammerstein–Volterra integral equations with constant delay. This type of integral equation …

[HTML][HTML] An analytical method for solving linear Fredholm fuzzy integral equations of the second kind

A Molabahrami, A Shidfar, A Ghyasi - Computers & Mathematics with …, 2011 - Elsevier
In this paper, we use the parametric form of a fuzzy number and convert a linear fuzzy
Fredholm integral equation to two linear systems of integral equations of the second kind in …