Numerical study and dynamics analysis of diabetes mellitus with co-infection of COVID-19 virus by using fractal fractional operator

M Farman, A Akgül, M Sultan, S Riaz, H Asif… - Scientific Reports, 2024 - nature.com
COVID-19 is linked to diabetes, increasing the likelihood and severity of outcomes due to
hyperglycemia, immune system impairment, vascular problems, and comorbidities like …

Analysis of age wise fractional order problems for the Covid-19 under non-singular kernel of Mittag-Leffler law

B Fatima, M Rahman, S Althobaiti… - Computer Methods in …, 2024 - Taylor & Francis
The developed article considers SIR problems for the recent COVID-19 pandemic, in which
each component is divided into two subgroups: young and adults. These subgroups are …

[HTML][HTML] Stability analysis of an implicit fractional integro-differential equation via integral boundary conditions

M Alam, A Zada, T Abdeljawad - Alexandria Engineering Journal, 2024 - Elsevier
The primary objective of this research study is to analyze a boundary problem involving
Caputo fractional integro-differential equations. The focus is on a differential equation with a …

On a coupled system of fractional differential equations via the generalized proportional fractional derivatives

MI Abbas, M Ghaderi, S Rezapour… - Journal of function …, 2022 - Wiley Online Library
This work investigates the existence and uniqueness of solutions for a coupled system of
fractional differential equations with three‐point generalized fractional integral boundary …

Ulam type stability for mixed Hadamard and Riemann–Liouville Fractional Stochastic Differential Equations

M Rhaima, L Mchiri, AB Makhlouf, H Ahmed - Chaos, Solitons & Fractals, 2024 - Elsevier
This study investigates the existence and Ulam–Hyers stability (UHS) results in the context
of mixed Hadamard and Riemann–Liouville Fractional Stochastic Differential Equations …

Fractional Brownian motion for a system of fuzzy fractional stochastic differential equation

K Abuasbeh, R Shafqat - Journal of Mathematics, 2022 - Wiley Online Library
We study fractional Brownian motion–(FBM–) driven fuzzy stochastic fractional evolution
equations. These equations can be used to model fuzziness, long‐range dependence, and …

[PDF][PDF] New fixed point results for Geraghty contractions and their applications

B Almarri, S Mujahid, I Uddin - J. Appl. Anal. Comput, 2023 - jaac-online.com
In this paper, we prove existence and uniqueness of fixed point involving Geraghty
contraction in a metric space endowed with a binary relation. Moreover, we give an …

Stability and Numerical Simulation of a Nonlinear Hadamard Fractional Coupling Laplacian System with Symmetric Periodic Boundary Conditions

X Lv, K Zhao, H Xie - Symmetry, 2024 - mdpi.com
The Hadamard fractional derivative and integral are important parts of fractional calculus
which have been widely used in engineering, biology, neural networks, control theory, and …

On a partial fractional hybrid version of generalized Sturm–Liouville–Langevin equation

Z Heydarpour, J Izadi, R George, M Ghaderi… - Fractal and …, 2022 - mdpi.com
As we know one of the most important equations which have many applications in various
areas of physics, mathematics, and financial markets, is the Sturm–Liouville equation. In this …

Analysis on controllability results for impulsive neutral hilfer fractional differential equations with nonlocal conditions

T Linitda, K Karthikeyan, PR Sekar, T Sitthiwirattham - Mathematics, 2023 - mdpi.com
In this paper, we investigate the controllability of the system with non-local conditions. The
existence of a mild solution is established. We obtain the results by using resolvent …