Hyperchaotic behaviors, optimal control, and synchronization of a nonautonomous cardiac conduction system

D Baleanu, SS Sajjadi, JH Asad, A Jajarmi… - Advances in Difference …, 2021 - Springer
In this paper, the hyperchaos analysis, optimal control, and synchronization of a
nonautonomous cardiac conduction system are investigated. We mainly analyze, control …

A new generalized definition of fractional derivative with non-singular kernel

K Hattaf - Computation, 2020 - mdpi.com
This paper proposes a new definition of fractional derivative with non-singular kernel in the
sense of Caputo which generalizes various forms existing in the literature. Furthermore, the …

Contributions of the fixed point technique to solve the 2D Volterra integral equations, Riemann–Liouville fractional integrals, and Atangana–Baleanu integral operators

HA Hammad, H Aydi, N Mlaiki - Advances in Difference Equations, 2021 - Springer
In this manuscript, some fixed point results for generalized contractive type mappings under
mild conditions in the setting of double controlled metric spaces (in short, η ℷ ν η_\gimel^ν …

Stability analysis of initial value problem of pantograph-type implicit fractional differential equations with impulsive conditions

A Ali, I Mahariq, K Shah, T Abdeljawad… - Advances in Difference …, 2021 - Springer
In this paper, we study an initial value problem for a class of impulsive implicit-type fractional
differential equations (FDEs) with proportional delay terms. Schaefer's fixed point theorem …

[HTML][HTML] A semi-analytic method to solve nonlinear differential equations with arbitrary order

JP Chauhan, SR Khirsariya - Results in Control and Optimization, 2023 - Elsevier
In this paper, we describe the new Adomian Decomposition General Transform Method
(ADGTM). Further, the efficacy of the method is proved by applying it to well-known …

A novel exact solution for the fractional Ambartsumian equation

A Ebaid, C Cattani, AS Al Juhani… - Advances in Difference …, 2021 - Springer
Fractional calculus (FC) is useful in studying physical phenomena with memory effect. In this
paper, a fractional form of Ambartsumian equation is considered utilizing the Caputo …

Role of Fourier sine transform on the dynamical model of tensioned carbon nanotubes with fractional operator

KA Abro, JF Gómez‐Aguilar - Mathematical Methods in the …, 2020 - Wiley Online Library
The metallic or semiconducting characteristics of cylindrical graphitic tubes (single‐walled
carbon nanotubes) exhibit strongest fibers in the world subject to their chirality and diameter …

Shifted fractional Jacobi collocation method for solving fractional functional differential equations of variable order

MA Abdelkawy, AM Lopes, MM Babatin - Chaos, Solitons & Fractals, 2020 - Elsevier
Abstract Functional differential equations have been widely used for modeling real-world
phenomena in distinct areas of science. However, classical calculus can not provide always …

Study on Krasnoselskii's fixed point theorem for Caputo–Fabrizio fractional differential equations

Eiman, K Shah, M Sarwar, D Baleanu - Advances in Difference Equations, 2020 - Springer
This note is concerned with establishing existence theory of solutions to a class of implicit
fractional differential equations (FODEs) involving nonsingular derivative. By using usual …

[HTML][HTML] Heat measures in performance of electro-osmotic flow of Williamson fluid in micro-channel

S Noreen, S Waheed, DC Lu, A Hussanan - Alexandria Engineering …, 2020 - Elsevier
Present study signifies the thermal analysis of the electroosmotic flow of Williamson fluid in
the presence of peristaltic propulsion and asymmetric zeta potential at the walls. The present …