Found 49 Documents (Results 1–49)
Asymptotic stability of nonlinear fractional delay differential equations with \(\alpha\in(1, 2)\): an application to fractional delay neural networks. (English) Zbl 07864167
Fractional averaging theory for discrete fractional-order system with impulses. (English) Zbl 1541.39004
Derivation and rogue waves of the fractional nonlinear Schrödinger equation for the Rossby waves. (English) Zbl 07863440
Dynamic perturbation analysis of fractional order differential quasiperiodic Mathieu equation. (English) Zbl 07863423
Mixed-mode oscillations and extreme events in fractional-order Bonhoeffer-van der Pol oscillator. (English) Zbl 07861898
Effect of fractional derivatives on amplitude chimeras and symmetry-breaking death states in networks of limit-cycle oscillators. (English) Zbl 07858611
Bifurcations and transition to chaos in generalized fractional maps of the orders \(0 < \alpha < 1\). (English) Zbl 07858597
Synchronization of discrete fractional-order complex networks with and without unknown topology. (English) Zbl 07867654
Retraction: “On the formulation of Adams-Bashforth scheme with Atangana-baleanu-Caputo fractional derivative to model chaotic problems”. (English) Zbl 07868510
Fractional blood flow in rotating nanofluid with different shapes nanoparticles in the influence of activation energy and thermal radiation. (English) Zbl 07866702
Chaos 31, No. 9, Article ID 093109, 15 p. (2021); ibid. 32, No. 8, Article ID 089902, 3 p. (2022).
Dynamics of a fractional epidemiological model with disease infection in both the populations. (English) Zbl 1460.92184
Topology identification of fractional-order complex dynamical networks based on auxiliary-system approach. (English) Zbl 1467.93064
Capturing multifractality of pressure fluctuations in thermoacoustic systems using fractional-order derivatives. (English) Zbl 1459.76073
Fractional calculus with exponential memory. (English) Zbl 1459.26010
MSC:
26A33
Fractional diffusion on the human proteome as an alternative to the multi-organ damage of SARS-CoV-2. (English) Zbl 1445.92136
Representation of solutions for Sturm-Liouville eigenvalue problems with generalized fractional derivative. (English) Zbl 1435.34031
A new and efficient numerical method for the fractional modeling and optimal control of diabetes and tuberculosis co-existence. (English) Zbl 1423.92093
Strange attractor existence for non-local operators applied to four-dimensional chaotic systems with two equilibrium points. (English) Zbl 1409.37043
On the formulation of Adams-bashforth scheme with Atangana-Baleanu-Caputo fractional derivative to model chaotic problems. (English) Zbl 1409.34016
Chaos 29, No. 2, 023111, 12 p. (2019); retraction notice ibid. 31, No. 12, 129902, 1 p. (2021).
Fractional operators with generalized Mittag-Leffler kernels and their iterated differintegrals. (English) Zbl 1409.26003
Mathematical modeling and analysis of two-variable system with noninteger-order derivative. (English) Zbl 1406.34091
Fractional modeling of blood ethanol concentration system with real data application. (English) Zbl 1406.92325
A new analysis for fractional rumor spreading dynamical model in a social network with Mittag-Leffler law. (English) Zbl 1406.91326
Analysis of a fractional eigenvalue problem involving Atangana-Baleanu fractional derivative: a maximum principle and applications. (English) Zbl 1406.34005
New idea of Atangana and Baleanu fractional derivatives to human blood flow in nanofluids. (English) Zbl 1406.76095
New numerical surfaces to the mathematical model of cancer chemotherapy effect in Caputo fractional derivatives. (English) Zbl 1406.92328
Fractional stochastic modeling: new approach to capture more heterogeneity. (English) Zbl 1406.37044
Nonlinear information data mining based on time series for fractional differential operators. (English) Zbl 1445.37058
Singular points in the solution trajectories of fractional order dynamical systems. (English) Zbl 1403.37031
On the analysis of chemical kinetics system pertaining to a fractional derivative with Mittag-Leffler type kernel. (English) Zbl 1390.34027
Fractional formalism to DNA chain and impact of the fractional order on breather dynamics. (English) Zbl 1378.92051
Linear matrix inequality criteria for robust synchronization of uncertain fractional-order chaotic systems. (English) Zbl 1317.34008
Robust outer synchronization between two complex networks with fractional order dynamics. (English) Zbl 1318.34003
On the bound of the Lyapunov exponents for the fractional differential systems. (English) Zbl 1311.34016
Erratum: ”Design of multidirectional multiscroll chaotic attractors based on fractional differential systems via switching control” [Chaos 16, 043120 (2006)]. (English) Zbl 1159.37343
Design of multidirectional multiscroll chaotic attractors based on fractional differential systems via switching control. (English) Zbl 1146.37316
The variant of post-Newtonian mechanics with generalized fractional derivatives. (English) Zbl 1151.83316
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