A cotangent fractional derivative with the application

L Sadek - Fractal and Fractional, 2023 - mdpi.com
In this work, we present a new type of fractional derivatives (FD) involving exponential
cotangent function in their kernels called Riemann–Liouville D σ, γ and Caputo cotangent …

Fictitious finite integration method for solving high order partial differential equations

M Lei, PY Liu, YC Hon - Engineering Analysis with Boundary Elements, 2023 - Elsevier
In this paper, we combine the finite integration method (FIM) with the technique of fictitious
points to solve high order partial differential equations (HOPDEs). Two type of fictitious finite …

Optimal control of fractional differential equations with interval uncertainty

T Shokouhi, M Allahdadi… - … Methods for Differential …, 2024 - cmde.tabrizu.ac.ir
The purpose of this paper is to obtain numerical solutions of fractional interval optimal
control problems. To do so, first, we obtain a system of fractional interval differential …

A new numerical approach to the solution of the nonlinear Kawahara equation by using combined Taylor–Dickson approximation

D Priyadarsini, M Routaray, PK Sahu - Iranian Journal of Numerical …, 2024 - ijnao.um.ac.ir
This article presents a novel numerical approach to the solution of the nonlinear Kawahara
equation. The desired approximations are obtained from the combination of Dickson …

Numerical solution of some Volterra integrodifferential equations by using collocation methods

K Cheima - 2024 - dspace.centre-univ-mila.dz
This thesis aims to present a straightforward, convergent, and readily applicable numerical
method for computing approximate solutions to linear two-dimensional first-order and …

[PDF][PDF] Consistency and feasibility of Haar wavelet collocation method for a nonlinear optimal control problem with application

R SAURABH, A SETIA, M MUNIYASAMY… - wseas.com
Haar wavelet-based numerical algorithms have recently been developed for various
mathematical problems, including optimal control problems. However, no numerical …