There are many algorithms based on orthogonal functions that can be applied to real-world
problems. For example, many of them can be reduced to approximate the solution of a …

This work develops a new Legendre delay operational matrix based on Legendre
polynomial features that are integrated with regard to the Legendre fractional derivative …

This paper provides a numerical technique for evaluating the approximate solution of
fractional optimal control problems with the Caputo‐Fabrizio (CF) fractional integro …

The vital target of the current work is to construct two-variable Vieta-Fibonacci polynomials
which are coupled with a matrix collocation method to solve the time-fractional telegraph …

In this investigation, a novel framework is devised to study an important category of fractional-
order systems. The fractional Vieta–Lucas functions (FVLFs) and a hybrid of the block-pulse …

This paper is focused on a numerical method based on the Haar wavelet collocation method
for finding solutions of the variable-order Caputo-Prabhakar fractional integro-differential …

In this study, two predictor–corrector schemes are developed for the numerical solution of
variable exponent fractional‐type integral equations. The proposed schemes considered a …

This paper introduces a novel numerical algorithm for solving pantograph differential
equations and Volterra functional integro‐differential equations including the piecewise …

In this manuscript, we address the resolution of conformable Gegenbauer differential
equations with an order of α, where α∈(0, 1). We demonstrate that our solution aligns …

In this study, we adapted a predictor-corrector technique to simulate delay differential
equations incorporating variable-order Caputo-type fractional derivatives. We addressed the …