Some novel mathematical analysis on the fractal–fractional model of the AH1N1/09 virus and its generalized Caputo-type version

S Etemad, I Avci, P Kumar, D Baleanu… - Chaos, Solitons & …, 2022 - Elsevier
In this paper, we formulate a new model of a particular type of influenza virus called
AH1N1/09 in the framework of the four classes consisting of susceptible, exposed, infectious …

Generalized critical Kirchhoff-type potential systems with Neumann boundary conditions

N Chems Eddine, MA Ragusa - Applicable Analysis, 2022 - Taylor & Francis
In this paper, we consider a class of quasilinear stationary Kirchhoff type potential systems
with Neumann Boundary conditions, which involves a general variable exponent elliptic …

On parameterized inequalities of Ostrowski and Simpson type for convex functions via generalized fractional integrals

H Budak, F Hezenci, H Kara - Mathematical Methods in the …, 2021 - Wiley Online Library
The present paper first establishes that an identity involving generalized fractional integrals
is proved for differentiable functions by using two parameters. By utilizing this identity, we …

On system of variable order nonlinear p-Laplacian fractional differential equations with biological application

H Khan, J Alzabut, H Gulzar, O Tunç, S Pinelas - Mathematics, 2023 - mdpi.com
The study of variable order differential equations is important in science and engineering for
a better representation and analysis of dynamical problems. In the literature, there are …

Tripled fixed points and existence study to a tripled impulsive fractional differential system via measures of noncompactness

S Etemad, MM Matar, MA Ragusa, S Rezapour - Mathematics, 2021 - mdpi.com
In this paper, a tripled fractional differential system is introduced as three associated
impulsive equations. The existence investigation of the solution is based on contraction …

Analysis of a class of fractal hybrid fractional differential equation with application to a biological model

T Abdeljawad, M Sher, K Shah, M Sarwar, I Amacha… - Scientific Reports, 2024 - nature.com
Recently, the area devoted to fractional calculus has given much attention by researchers.
The reason behind such huge attention is the significant applications of the mentioned area …

A novel numerical approach in solving fractional neutral pantograph equations via the ARA integral transform

A Burqan, R Saadeh, A Qazza - Symmetry, 2021 - mdpi.com
In this article, a new, attractive method is used to solve fractional neutral pantograph
equations (FNPEs). The proposed method, the ARA-Residual Power Series Method (ARA …

Nonlocal controllability of Sobolev-type conformable fractional stochastic evolution inclusions with Clarke subdifferential

HM Ahmed, MA Ragusa - Bulletin of the Malaysian Mathematical Sciences …, 2022 - Springer
In this paper, Sobolev-type conformable fractional stochastic evolution inclusions with
Clarke subdifferential and nonlocal conditions are studied. By using fractional calculus …

A size-dependent non-fourier heat conduction model for magneto-thermoelastic vibration response of nanosystems

AE Abouelregal, Ö Civalek, B Akgöz - Journal of Applied and …, 2024 - jacm.scu.ac.ir
This study proposes a new fractional model to show how heat transfers through
nanomaterials by considering the thermoelastic vibration of one-dimensional nanostructures …

On solutions of two post-quantum fractional generalized sequential Navier problems: an application on the elastic beam

S Etemad, SK Ntouyas, I Stamova, J Tariboon - Fractal and Fractional, 2024 - mdpi.com
Fractional calculus provides some fractional operators for us to model different real-world
phenomena mathematically. One of these important study fields is the mathematical model …