Handling systems of incommensurate fractional order equations using improved fractional euler method

S Alshorm, IM Batiha, I Jebril… - 2023 International …, 2023 - ieeexplore.ieee.org
This paper targets to introduce a new numerical scheme for solving an incommensurate
system of fractional order differential equations, which would be carried out by using a …

Numerical solution for incommensurate system of fractional order differential equations

IM Batiha, S Alshorm, A Zraiqat… - 2023 International …, 2023 - ieeexplore.ieee.org
Numerical Solution for Incommensurate System of Fractional Order Differential Equations Page
1 Numerical Solution for Incommensurate System of Fractional Order Differential Equations 1st …

New algorithms for dealing with fractional initial value problems

IM Batiha, AA Abubaker, IH Jebril, SB Al-Shaikh… - Axioms, 2023 - mdpi.com
This work purposes to establish two small numerical modifications for the Fractional Euler
method (FEM) and the Modified Fractional Euler Method (MFEM) to deal with fractional initial …

A mathematical study on a fractional-order SEIR Mpox model: analysis and vaccination influence

IM Batiha, AA Abubaker, IH Jebril, SB Al-Shaikh… - Algorithms, 2023 - mdpi.com
This paper establishes a novel fractional-order version of a recently expanded form of the
Susceptible-Exposed-Infectious-Recovery (SEIR) Mpox model. This model is investigated by …

A robust scheme for reduction of higher fractional-order systems

IM Batiha, N Allouch, IH Jebril, S Momani - Journal of Engineering …, 2024 - Springer
The objective of this work is to present a numerical solution to a system of higher fractional-
order differential equations with initial value problems. In order to achieve this objective, we …

[PDF][PDF] Two-dimensional fractional wave equation via a new numerical approach

IM Batiha, IH Jebril, N Anakira… - … Journal of Innovative …, 2024 - researchgate.net
The main goal of this work is to solve the fractional wave equation in two dimensions
numerically with the use of some novel fractional formulas. In particular, the proposed …

[PDF][PDF] Numerical advancements: A duel between Euler-Maclaurin and Runge-Kutta for initial value problem

IM Batiha, MW Alomari, N Anakira… - International Journal …, 2025 - researchgate.net
This work is dedicated to advancing the approximation of initial value problems through the
introduction of an innovative and superior method inspired by the Euler-Maclaurin formula …

[PDF][PDF] Fractional Approach to Two-Group Neutron Diffusion in Slab Reactors

IM Batiha, N Allouch, M Shqair, IH Jebril… - … Journal of Robotics …, 2025 - researchgate.net
The two-energy neutron diffusion model in slab reactors characterizes neutron behavior
across two energy groups: fast and thermal. Fast neutrons, generated by fission, decelerate …

Handling a Commensurate, Incommensurate, and Singular Fractional-Order Linear Time-Invariant System

IM Batiha, O Talafha, OY Ababneh, S Alshorm… - Axioms, 2023 - mdpi.com
From the perspective of the importance of the fractional-order linear time-invariant (FoLTI)
system in plenty of applied science fields, such as control theory, signal processing, and …

A new fractional approach for the higher-order q-Taylor method

N Allouch, IM Batiha, IH Jebril, S Hamani… - Image Analysis and …, 2024 - ias-iss.org
The main goal of this work is to propose a new fractional approach of the higher-order q-
Taylor method with Initial Value Problems (IVPs) for fractional q-difference equations which …