[PDF][PDF] A tau-Gegenbauer spectral approach for systems of fractional integrodifferential equations with the error analysis

K Sadri, D Amilo, K Hosseini, E Hinçal, AR Seadawy - AIMS Math., 2024 - aimspress.com
This research paper focused on the solution of systems of fractional integro-differential
equations (FIDEs) of the Volterra type with variable coefficients. The proposed approach …

Chebyshev wavelets operational matrices for solving nonlinear variable-order fractional integral equations

Y Yang, MH Heydari, Z Avazzadeh… - Advances in Difference …, 2020 - Springer
In this study, a wavelet method is developed to solve a system of nonlinear variable-order
(VO) fractional integral equations using the Chebyshev wavelets (CWs) and the Galerkin …

Solving a system of fractional-order Volterra-Fredholm integro-differential equations with weakly singular kernels via the second Chebyshev wavelets method

E Bargamadi, L Torkzadeh, K Nouri, A Jajarmi - Fractal and Fractional, 2021 - mdpi.com
In this paper, by means of the second Chebyshev wavelet and its operational matrix, we
solve a system of fractional-order Volterra–Fredholm integro-differential equations with …

Pell-Lucas collocation method to solve high-order linear Fredholm-Volterra integro-differential equations and residual correction

Ş YÜZBAŞI, G Yildirim - Turkish Journal of Mathematics, 2020 - journals.tubitak.gov.tr
In this article, a collocation method based on Pell-Lucas polynomials is studied to
numerically solve higher order linear Fredholm-Volterra integro differential equations …

A hybrid approach established upon the Müntz‐Legender functions and 2D Müntz‐Legender wavelets for fractional Sobolev equation.

M Hosseininia, MH Heydari… - … Methods in the Applied …, 2022 - search.ebscohost.com
This article proposes a hybrid technique for finding approximation solutions of the fractional
2D Sobolev equation. In the proposed approach, the Müntz‐Legender functions and Müntz …

Numerical Investigation of Fractional‐Order Differential Equations via φ‐Haar‐Wavelet Method

FM Alharbi, AM Zidan, M Naeem… - Journal of Function …, 2021 - Wiley Online Library
In this paper, we propose a novel and efficient numerical technique for solving linear and
nonlinear fractional differential equations (FDEs) with the φ‐Caputo fractional derivative. Our …

Approximate analytical solutions for systems of fractional nonlinear integro-differential equations using the polynomial least squares method

B Căruntu - Fractal and Fractional, 2021 - mdpi.com
We employ the Polynomial Least Squares Method as a relatively new and very
straightforward and efficient method to find accurate approximate analytical solutions for a …

A New Efficient Method for Solving System of Weakly Singular Fractional Integro‐Differential Equations by Shifted Sixth‐Kind Chebyshev Polynomials

S Yaghoubi, H Aminikhah, K Sadri - Journal of Mathematics, 2022 - Wiley Online Library
In this paper, a new approach for solving the system of fractional integro‐differential
equation with weakly singular kernels is introduced. The method is based on a class of …

A numerical approach for solving fractional order pantograph mixed Volterra-Fredholm delay-integro-differential equations

Y Wang, L Zhang, H Li - Numerical Algorithms, 2025 - Springer
This paper investigates fractional order pantograph mixed Volterra-Fredholm delay-integro-
differential equations using a new numerical approach that leverages Bernoulli polynomials …

A block-by-block strategy for fractional systems of nonlinear weakly singular integro-differential equations

F Afiatdoust, MH Heydari, MM Hosseini - Computational and Applied …, 2023 - Springer
This paper concentrates on providing a new approach to arrive at approximate solution of a
fractional nonlinear system of weakly singular integro-differential equations. This approach …