A theoretical study of the Caputo–Fabrizio fractional modeling for hearing loss due to Mumps virus with optimal control

H Mohammadi, S Kumar, S Rezapour… - Chaos, Solitons & …, 2021 - Elsevier
Mumps is the most common cause of acquired unilateral deafness in children, in which
hearing loss occurs at all auditory frequencies. We use a box model to model hearing loss in …

A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment

S Kumar, A Kumar, B Samet, JF Gómez-Aguilar… - Chaos, Solitons & …, 2020 - Elsevier
A tumor is most dangerous disease of medical science which is a mass or lumps of tissue
that's formed by an accumulation of abnormal cells. A famous fractional tumor-immune …

A fractional differential equation model for the COVID-19 transmission by using the Caputo–Fabrizio derivative

D Baleanu, H Mohammadi, S Rezapour - Advances in difference …, 2020 - Springer
We present a fractional-order model for the COVID-19 transmission with Caputo–Fabrizio
derivative. Using the homotopy analysis transform method (HATM), which combines the …

A new mathematical model for Zika virus transmission

S Rezapour, H Mohammadi, A Jajarmi - Advances in difference equations, 2020 - Springer
We present a new mathematical model for the transmission of Zika virus between humans
as well as between humans and mosquitoes. In this way, we use the fractional-order Caputo …

[HTML][HTML] On a fractional hybrid integro-differential equation with mixed hybrid integral boundary value conditions by using three operators

D Baleanu, S Etemad, S Rezapour - Alexandria Engineering Journal, 2020 - Elsevier
We investigate the existence of solutions for a fractional hybrid integro-differential equation
with mixed hybrid integral boundary value conditions. In this way, we use a generalization of …

On a coupled Caputo conformable system of pantograph problems

S THABET, S ETEMAD… - Turkish Journal of …, 2021 - journals.tubitak.gov.tr
Our fundamental purpose in the present manuscript is to explore existence and uniqueness
criteria for a new coupled Caputo conformable system of pantograph problems in which for …

A mathematical theoretical study of a particular system of Caputo–Fabrizio fractional differential equations for the Rubella disease model

D Baleanu, H Mohammadi, S Rezapour - Advances in Difference …, 2020 - Springer
In this paper, we study the rubella disease model with the Caputo–Fabrizio fractional
derivative. The mathematical solution of the liver model is presented by a three-step Adams …

A Novel Homotopy Perturbation Method with Applications to Nonlinear Fractional Order KdV and Burger Equation with Exponential‐Decay Kernel

S Ahmad, A Ullah, A Akgül… - Journal of Function …, 2021 - Wiley Online Library
In this paper, we introduce the Yang transform homotopy perturbation method (YTHPM),
which is a novel method. We provide formulae for the Yang transform of Caputo‐Fabrizio …

Homotopy perturbation method-based soliton solutions of the time-fractional (2+ 1)-dimensional Wu–Zhang system describing long dispersive gravity water waves in …

M Qayyum, E Ahmad, S Tauseef Saeed, H Ahmad… - Frontiers in …, 2023 - frontiersin.org
Physical phenomena and natural disasters, such as tsunamis and floods, are caused due to
dispersive water waves and shallow waves caused by earthquakes. In order to analyze and …

Existence of solutions for some functional integrodifferential equations with nonlocal conditions

K Munusamy, C Ravichandran… - … Methods in the …, 2020 - Wiley Online Library
In this paper, we discuss the existence of mild solution of functional integrodifferential
equation with nonlocal conditions. To establish this results by using the resolvent operator …