Solutions and memory effect of fractional-order chaotic system: A review

S He, H Wang, K Sun - Chinese Physics B, 2022 - iopscience.iop.org
Fractional calculus is a 300 years topic, which has been introduced to real physics systems
modeling and engineering applications. In the last few decades, fractional-order nonlinear …

Bifurcations, stability analysis and complex dynamics of Caputo fractal-fractional cancer model

L Xuan, S Ahmad, A Ullah, S Saifullah, A Akgül… - Chaos, Solitons & …, 2022 - Elsevier
The association of cancer and immune cells has complex nature and produces chaotic
behavior when it is simulated. The newly introduced operators which combine the fractal …

Existence results for Atangana-Baleanu fractional neutral integro-differential systems with infinite delay through sectorial operators

MM Arjunan, A Hamiaz, V Kavitha - Chaos, Solitons & Fractals, 2021 - Elsevier
This manuscript's main objective is to examine the existence of mild solution of Atangana-
Baleanu fractional order semi-linear integro-differential equations [ABFSIDE] and semi …

[HTML][HTML] Fractal-fractional study of the hepatitis C virus infection model

KM Saad, M Alqhtani, JF Gómez-Aguilar - Results in Physics, 2020 - Elsevier
The main purpose of this article is proposed and investigated a new model of fractal-
fractional-order model for hepatitis C virus (HCV) infection with immune response, in which …

[HTML][HTML] A theoretical and numerical analysis of a fractal–fractional two-strain model of meningitis

S Rezapour, JKK Asamoah, A Hussain, H Ahmad… - Results in Physics, 2022 - Elsevier
Meningitis is an inflammation of the membranes that surround and protect the brain and
spinal cord. Typically, the enlargement is caused by a bacterial or viral infection of the fluid …

Analysis of propagating wave structures of the cold bosonic atoms in a zig-zag optical lattice via comparison with two different analytical techniques

WA Faridi, MI Asjad, M Toseef, T Amjad - Optical and Quantum Electronics, 2022 - Springer
The wave propagation has the significant role in the field of coastal engineering and ocean.
In the geographical fields, waves are primary source of environmental process owed to …

[HTML][HTML] Complex dynamics of multi strain TB model under nonlocal and nonsingular fractal fractional operator

S Ahmad, A Ullah, MB Riaz, A Ali, A Akgül… - Results in Physics, 2021 - Elsevier
Researchers have recently begun to use fractal fractional operators in the Atangana–
Baleanu sense to analyze complicated dynamics of various models in applied sciences, as …

Robustness and exploration between the interplay of the nonlinear co-dynamics HIV/AIDS and pneumonia model via fractional differential operators and a …

S Rashid, SZ Hamidi, MA Raza, R Shafique… - Scientific Reports, 2024 - nature.com
In this article, we considered a nonlinear compartmental mathematical model that assesses
the effect of treatment on the dynamics of HIV/AIDS and pneumonia (H/AP) co-infection in a …

A new modern scheme for solving fractal–fractional differential equations based on deep feedforward neural network with multiple hidden layer

MR Admon, N Senu, A Ahmadian, ZA Majid… - … and Computers in …, 2024 - Elsevier
The recent development of knowledge in fractional calculus introduced an advanced
superior operator known as fractal–fractional derivative (FFD). This operator combines …

Theoretical and mathematical codynamics of nonlinear tuberculosis and COVID-19 model pertaining to fractional calculus and probabilistic approach

S Rashid, SZ Hamidi, S Akram, MA Raza, SK Elagan… - Scientific Reports, 2024 - nature.com
Severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) is a novel virus known as
coronavirus 2 (SARS-CoV-2) that affects the pulmonary structure and results in the …