Hyperchaotic behaviors, optimal control, and synchronization of a nonautonomous cardiac conduction system
In this paper, the hyperchaos analysis, optimal control, and synchronization of a
nonautonomous cardiac conduction system are investigated. We mainly analyze, control …
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 …
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
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 …
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
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 …
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 …
(ADGTM). Further, the efficacy of the method is proved by applying it to well-known …
A novel exact solution for the fractional Ambartsumian equation
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 …
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 …
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
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 …
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
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 …
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 …
the presence of peristaltic propulsion and asymmetric zeta potential at the walls. The present …