Communications in Nonlinear Science and Numerical Simulation

Title Publication Date Language Citations
Krill herd: A new bio-inspired optimization algorithm2012/12/01English1,077
Recent history of fractional calculus2011/03/01English1,005
A new collection of real world applications of fractional calculus in science and engineering2018/11/01English990
Lyapunov functions for fractional order systems2014/09/01English900
An optimal homotopy-analysis approach for strongly nonlinear differential equations2010/08/01English666
A Caputo fractional derivative of a function with respect to another function2017/03/01English622
Notes on the homotopy analysis method: Some definitions and theorems2009/04/01English572
One method for finding exact solutions of nonlinear differential equations2012/06/01English544
Firefly algorithm with chaos2013/01/01English503
Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems2015/05/01English482
On the ψ -Hilfer fractional derivative2018/07/01English464
A similarity solution for laminar thermal boundary layer over a flat plate with a convective surface boundary condition2009/04/01English458
Fractional calculus in viscoelasticity: An experimental study2010/04/01English428
Grey system model with the fractional order accumulation2013/07/01English406
The role of fractional calculus in modeling biological phenomena: A review2017/10/01English388
Flow and heat transfer of a nanofluid over a nonlinearly stretching sheet: A numerical study2012/01/01English358
Nonlinear dynamic analysis of asymmetric tristable energy harvesters for enhanced energy harvesting2018/08/01English343
A chaotic system with only one stable equilibrium2012/03/01English321
Mathematical modeling of the spread of the coronavirus disease 2019 (COVID-19) taking into account the undetected infections. The case of China2020/09/01English317
Homotopy analysis method for fractional IVPs2009/03/01English316
Solving fuzzy fractional differential equations by fuzzy Laplace transforms2012/03/01English260
Volterra-type Lyapunov functions for fractional-order epidemic systems2015/07/01English255
On the concept and existence of solution for impulsive fractional differential equations2012/07/01English253
Chaos-enhanced accelerated particle swarm optimization2013/02/01English237
On the numerical solutions for the fractional diffusion equation2011/06/01English233
Bright and dark solitons of the generalized nonlinear Schrödinger’s equation2010/06/01English232
Synchronization of the fractional order hyperchaos Lorenz systems with activation feedback control2009/08/01English228
On some new properties of fractional derivatives with Mittag-Leffler kernel2018/06/01English226
Initial condition-dependent dynamics and transient period in memristor-based hypogenetic jerk system with four line equilibria2018/04/01English224
Viscous flow over a shrinking sheet with a second order slip flow model2010/07/01English222