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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …