Spectral Galerkin schemes for a class of multi-order fractional pantograph equations

MM Alsuyuti, EH Doha, SS Ezz-Eldien… - Journal of Computational …, 2021 - Elsevier
In this paper, we study and present a spectral numerical technique for solving a general
class of multi-order fractional pantograph equations with varying coefficients and systems of …

[HTML][HTML] Approximate solution of nonlinear fractional integro-differential equations using fractional alternative Legendre functions

P Rahimkhani, Y Ordokhani - Journal of Computational and Applied …, 2020 - Elsevier
In this paper, a new set of functions called fractional alternative Legendre is defined for
solving nonlinear fractional integro-differential equations. The concept of the fractional …

[图书][B] Fractional differential equations: a coincidence degree approach

M Benchohra, S Bouriah, A Salim, Y Zhou - 2023 - books.google.com
This book is devoted to the existence and uniqueness results for various classes of
problems with periodic conditions. All of the problems in this book deal with fractional …

Double Fuzzy Sumudu transform to solve partial Volterra fuzzy integro-differential equations

A Georgieva - Mathematics, 2020 - mdpi.com
In this paper, the double fuzzy Sumudu transform (DFST) method was used to find the
solution to partial Volterra fuzzy integro-differential equations (PVFIDE) with convolution …

Jacobi collocation method and smoothing transformation for numerical solution of neutral nonlinear weakly singular Fredholm integro-differential equations

T Rezazadeh, E Najafi - Applied Numerical Mathematics, 2022 - Elsevier
In this work, we consider Jacobi collocation method for the numerical solution of neutral
nonlinear weakly singular Fredholm integro-differential equations. We propose conditions …

Sinc-Galerkin method for solving the time fractional convection–diffusion equation with variable coefficients

LJ Chen, MZ Li, Q Xu - Advances in Difference Equations, 2020 - Springer
In this paper, a new numerical algorithm for solving the time fractional convection–diffusion
equation with variable coefficients is proposed. The time fractional derivative is estimated …

Periodic solutions of nonlinear fractional pantograph integro-differential equations with Caputo derivative

D Foukrach, S Bouriah, S Abbas… - … DELL'UNIVERSITA'DI …, 2023 - Springer
The aim purpose of the present work is to study the existence and uniqueness of periodic
solutions for a wide class of nonlinear fractional integro-differential equations of pantograph …

Approximate solution of linear Volterra integro-differential equation by using cubic B-spline finite element method in the complex plane

M Erfanian, H Zeidabadi - Advances in Difference Equations, 2019 - Springer
So far, there are no any publications for solving and obtaining a numerical solution of
Volterra integro-differential equations in the complex plane by using the finite element …

Numerical solution of system of second-order integro-differential equations using nonclassical sinc collocation method

M Ghasemi, K Mohammadi, A Alipanah - Boundary Value Problems, 2023 - Springer
In this paper, a nonclassical sinc collocation method is constructed for the numerical solution
of systems of second-order integro-differential equations of the Volterra and Fredholm types …

Some new results for Hilfer fractional pantograph-type differential equation depending on Riemann–Liouville integral

D Foukrach, S Bouriah, M Benchohra… - The Journal of …, 2022 - Springer
The aim of the present work is to study a large class of ψ-ψ-Hilfer fractional differential
equation of Pantograph-type depending on ψ-ψ-Riemann–Liouville fractional integral …