[HTML][HTML] New solutions of fractional 4d chaotic financial model with optimal control via he-laplace algorithm

M Qayyum, E Ahmad, ST Saeed, A Akgül… - Ain Shams Engineering …, 2024 - Elsevier
The objective of current investigation is to propose a solution to predict the interest rate,
investment demand, and price index with optimal control in a fractional financial 4D chaotic …

[HTML][HTML] A constructive numerical approach to solve the Fractional Modified Camassa–Holm equation

KS Nisar - Alexandria Engineering Journal, 2024 - Elsevier
In recent years, there has been a growing interest among researchers in the study of shallow
water waves, driven by their wide applicability across various scientific disciplines. Within …

Laplace-residual power series method for solving time-fractional reaction–diffusion model

MN Oqielat, T Eriqat, O Ogilat, A El-Ajou… - Fractal and …, 2023 - mdpi.com
Despite the fact the Laplace transform has an appreciable efficiency in solving many
equations, it cannot be employed to nonlinear equations of any type. This paper presents a …

[PDF][PDF] A hybrid analytical technique for solving multi-dimensional time-fractional Navier-Stokes system

E Salah, A Qazza, R Saadeh, A El-Ajou - AIMS Mathematics, 2023 - researchgate.net
A hybrid analytical technique for solving multi-dimensional time-fractional Navier-Stokes system
Page 1 AIMS Mathematics, 8(1): 1713–1736. DOI: 10.3934/math.2023088 Received: 16 August …

A solution for the neutron diffusion equation in the spherical and hemispherical reactors using the residual power series

A El-Ajou, M Shqair, I Ghabar, A Burqan… - Frontiers in …, 2023 - frontiersin.org
A novel analytical solution to the neutron diffusion equation is proposed in this study using
the residual power series approach for both spherical and hemispherical fissile material …

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 …

Efficient solution of fractional system partial differential equations using Laplace residual power series method

A Shafee, Y Alkhezi, R Shah - Fractal and Fractional, 2023 - mdpi.com
In this paper, we present an efficient solution method for solving fractional system partial
differential equations (FSPDEs) using the Laplace residual power series (LRPS) method …

Exact and approximate solutions for linear and nonlinear partial differential equations via Laplace residual power series method

H Khresat, A El-Ajou, S Al-Omari, SE Alhazmi… - Axioms, 2023 - mdpi.com
The Laplace residual power series method was introduced as an effective technique for
finding exact and approximate series solutions to various kinds of differential equations. In …

Comparative Analysis of the Time‐Fractional Black–Scholes Option Pricing Equations (BSOPE) by the Laplace Residual Power Series Method (LRPSM)

MI Liaqat, E Okyere - Journal of Mathematics, 2023 - Wiley Online Library
The residual power series method is effective for obtaining solutions to fractional‐order
differential equations. However, the procedure needs the (n− 1) ϖ derivative of the residual …

Extended Laplace power series method for solving nonlinear Caputo fractional Volterra integro-differential equations

AK Alomari, M Alaroud, N Tahat, A Almalki - Symmetry, 2023 - mdpi.com
In this paper, we compile the fractional power series method and the Laplace transform to
design a new algorithm for solving the fractional Volterra integro-differential equation. For …