STUDY ON NONLINEAR FRACTIONAL ORDER CONFORMABLE MODEL OF INFECTIOUS DISEASE USING UPDATED ANALYTICAL TECHNIQUES

Manar A. Alqudah; Kamal Shah; Thabet Abdeljawad; Fatemah Mofarreh

doi:10.1142/S0218348X25400808

STUDY ON NONLINEAR FRACTIONAL ORDER CONFORMABLE MODEL OF INFECTIOUS DISEASE USING UPDATED ANALYTICAL TECHNIQUES

Manar A. Alqudah
, Kamal Shah
, Thabet Abdeljawad^*
, Fatemah Mofarreh

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

Over the past 20 years, fractional calculus has received increased attention. The concerned field has many applications in investigating different applied sciences problems by using the concept of mathematical modeling. Epidemic models have increasingly been studied by applying the tools of fractional calculus. This work is related to the use of conformable fractional order derivative (CFOD) to study an epidemic model. The qualitative results of the suggested model are studied by applying fixed point theory. Additionally, we develop a suitable approach by using the conformable fractional differential transform (CFDT) technique to compute the analytical approximation solutions to the proposed model. Furthermore, we use MATLAB-16 to simulate the obtained results graphically. The results have also been compared with the results of another method.

Original language	English
Article number	2540080
Journal	Fractals
Volume	33
Issue number	4
DOIs	https://doi.org/10.1142/S0218348X25400808
Publication status	Published - 2025
Externally published	Yes

Keywords

Conformable Fractional Differential Transform
Conformable Fractional Order Derivative
Qualitative Theory
SEIR Model

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1142/S0218348X25400808

Cite this

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title = "STUDY ON NONLINEAR FRACTIONAL ORDER CONFORMABLE MODEL OF INFECTIOUS DISEASE USING UPDATED ANALYTICAL TECHNIQUES",

abstract = "Over the past 20 years, fractional calculus has received increased attention. The concerned field has many applications in investigating different applied sciences problems by using the concept of mathematical modeling. Epidemic models have increasingly been studied by applying the tools of fractional calculus. This work is related to the use of conformable fractional order derivative (CFOD) to study an epidemic model. The qualitative results of the suggested model are studied by applying fixed point theory. Additionally, we develop a suitable approach by using the conformable fractional differential transform (CFDT) technique to compute the analytical approximation solutions to the proposed model. Furthermore, we use MATLAB-16 to simulate the obtained results graphically. The results have also been compared with the results of another method.",

keywords = "Conformable Fractional Differential Transform, Conformable Fractional Order Derivative, Qualitative Theory, SEIR Model",

author = "Alqudah, \{Manar A.\} and Kamal Shah and Thabet Abdeljawad and Fatemah Mofarreh",

note = "Publisher Copyright: {\textcopyright} 2025 The Author(s)",

year = "2025",

doi = "10.1142/S0218348X25400808",

language = "English",

volume = "33",

journal = "Fractals",

issn = "0218-348X",

publisher = "World Scientific",

number = "4",

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TY - JOUR

T1 - STUDY ON NONLINEAR FRACTIONAL ORDER CONFORMABLE MODEL OF INFECTIOUS DISEASE USING UPDATED ANALYTICAL TECHNIQUES

AU - Alqudah, Manar A.

AU - Shah, Kamal

AU - Abdeljawad, Thabet

AU - Mofarreh, Fatemah

PY - 2025

Y1 - 2025

N2 - Over the past 20 years, fractional calculus has received increased attention. The concerned field has many applications in investigating different applied sciences problems by using the concept of mathematical modeling. Epidemic models have increasingly been studied by applying the tools of fractional calculus. This work is related to the use of conformable fractional order derivative (CFOD) to study an epidemic model. The qualitative results of the suggested model are studied by applying fixed point theory. Additionally, we develop a suitable approach by using the conformable fractional differential transform (CFDT) technique to compute the analytical approximation solutions to the proposed model. Furthermore, we use MATLAB-16 to simulate the obtained results graphically. The results have also been compared with the results of another method.

AB - Over the past 20 years, fractional calculus has received increased attention. The concerned field has many applications in investigating different applied sciences problems by using the concept of mathematical modeling. Epidemic models have increasingly been studied by applying the tools of fractional calculus. This work is related to the use of conformable fractional order derivative (CFOD) to study an epidemic model. The qualitative results of the suggested model are studied by applying fixed point theory. Additionally, we develop a suitable approach by using the conformable fractional differential transform (CFDT) technique to compute the analytical approximation solutions to the proposed model. Furthermore, we use MATLAB-16 to simulate the obtained results graphically. The results have also been compared with the results of another method.

KW - Conformable Fractional Differential Transform

KW - Conformable Fractional Order Derivative

KW - Qualitative Theory

KW - SEIR Model

UR - https://www.scopus.com/pages/publications/105002123868

U2 - 10.1142/S0218348X25400808

DO - 10.1142/S0218348X25400808

M3 - Article

AN - SCOPUS:105002123868

SN - 0218-348X

VL - 33

JO - Fractals

JF - Fractals

IS - 4

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ER -

STUDY ON NONLINEAR FRACTIONAL ORDER CONFORMABLE MODEL OF INFECTIOUS DISEASE USING UPDATED ANALYTICAL TECHNIQUES

Abstract

Keywords

UN SDGs

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