Analysis of multipoint impulsive problem of fractional-order differential equations

K Shah, B Abdalla, T Abdeljawad, R Gul - Boundary Value Problems, 2023 - Springer
This manuscript is related to establishing appropriate results for the existence and
uniqueness of solutions to a class of nonlinear impulsive implicit fractional-order differential …

[HTML][HTML] Nonlinear fractional mathematical model of tuberculosis (TB) disease with incomplete treatment under Atangana-Baleanu derivative

MU Rahman, M Arfan, Z Shah, P Kumam… - Alexandria Engineering …, 2021 - Elsevier
The current work investigates the mathematical model of Tuberculosis disease with
incomplete treatment under the Atangana-Baleanu-Caputo (ABC) derivative with fractional …

[HTML][HTML] Investigation of fractal-fractional order model of COVID-19 in Pakistan under Atangana-Baleanu Caputo (ABC) derivative

M Arfan, H Alrabaiah, MU Rahman, YL Sun… - Results in Physics, 2021 - Elsevier
This manuscript addressing the dynamics of fractal-fractional type modified SEIR model
under Atangana-Baleanu Caputo (ABC) derivative of fractional order y and fractal dimension …

[HTML][HTML] Computational and theoretical modeling of the transmission dynamics of novel COVID-19 under Mittag-Leffler power law

M Sher, K Shah, ZA Khan, H Khan, A Khan - Alexandria Engineering …, 2020 - Elsevier
In the current article, we studied the novel corona virus (2019-nCoV or COVID-19) which is a
threat to the whole world nowadays. We consider a fractional order epidemic model which …

--Caputo fractional differential equations with multi-point boundary conditions by Topological Degree Theory

Z Baitiche, C Derbazi, M Benchohra - Results in Nonlinear Analysis, 2020 - dergipark.org.tr
In this article, we discuss the existence and uniqueness of solutions to some nonlinear
fractional differential equations involving the ψ--Caputo fractional derivative with multi-point …

On analysis of the fractional mathematical model of rotavirus epidemic with the effects of breastfeeding and vaccination under Atangana-Baleanu (AB) derivative

S Ahmad, A Ullah, M Arfan, K Shah - Chaos, Solitons & Fractals, 2020 - Elsevier
In this article, the fractional-order model of the rotavirus epidemic with the effect of
breastfeeding and vaccination under the Atangana-Baleanu derivative is investigated. To …

[HTML][HTML] Analysis of the fractional tumour-immune-vitamins model with Mittag–Leffler kernel

S Ahmad, A Ullah, A Akgül, D Baleanu - Results in Physics, 2020 - Elsevier
Abstract Recently, Atangana-Baleanu fractional derivative has got much attention of the
researchers due to its non-locality and non-singularity. This operator contains an accurate …

[HTML][HTML] Mathematical analysis of HBV and HCV co-infection model under nonsingular fractional order derivative

WY Shen, YM Chu, M ur Rahman, I Mahariq, A Zeb - Results in Physics, 2021 - Elsevier
The current research study is devoted to analyze the fractional order co-infection disease
epidemic model endowed with Caputo fractional derivative. We also investigate the …

Fuzzy fractional-order model of the novel coronavirus

S Ahmad, A Ullah, K Shah, S Salahshour… - Advances in difference …, 2020 - Springer
In this paper, a novel coronavirus infection system with a fuzzy fractional differential equation
defined in Caputo's sense is developed. By using the fuzzy Laplace method coupled with …

Stability analysis of a nonlinear coupled implicit switched singular fractional differential system with p-Laplacian

M Ahmad, A Zada, J Alzabut - Advances in Difference Equations, 2019 - Springer
This paper deals with existence, uniqueness, and Hyers–Ulam stability of solutions to a
nonlinear coupled implicit switched singular fractional differential system involving Laplace …