| A new collection of real world applications of fractional calculus in science and engineering |
149 |
| On the Psi-Hilfer fractional derivative |
71 |
| Nonlinear dynamic analysis of asymmetric tristable energy harvesters for enhanced energy harvesting |
60 |
| On some new properties of fractional derivatives with Mittag-Leffler kernel |
51 |
| Initial condition-dependent dynamics and transient period in memristor-based hypogenetic jerk system with four line equilibria |
45 |
| No nonlocality. No fractional derivative |
40 |
| On an accurate discretization of a variable-order fractional reaction-diffusion equation |
37 |
| The Prabhakar or three parameter Mittag-Leffler function: Theory and application |
35 |
| Series representations for fractional-calculus operators involving generalised Mittag-Leffler functions |
31 |
| Lump and lump-soliton solutions to the Hirota-Satsuma-Ito equation |
31 |
| Analytical solutions to mixed convection MHD fluid flow induced by a nonlinearly deforming permeable surface |
30 |
| Leibniz type rule: psi-Hilfer fractional operator |
26 |
| Persistence and ergodicity of a stochastic single species model with Allee effect under regime switching |
21 |
| Finite-time stability and synchronization of memristor-based fractional-order fuzzy cellular neural networks |
21 |
| Chebyshev cardinal wavelets and their application in solving nonlinear stochastic differential equations with fractional Brownian motion |
21 |
| On strong homogeneity of a class of global optimization algorithms working with infinite and infinitesimal scales |
19 |
| A critical analysis of the Caputo-Fabrizio operator |
19 |
| Theoretical analysis of multi-stable energy harvesters with high-order stiffness terms |
18 |
| General high-order breathers and rogue waves in the (3+1)-dimensional KP-Boussinesq equation |
17 |
| Dynamical analysis of multilayered cantilevers |
17 |
| Grey-Markov pre diction model based on background value optimization and central-point triangular whitenization weight function |
17 |
| Periodically intermittent discrete observation control for synchronization of fractional-order coupled systems |
16 |
| An efficient and secure chaotic cipher algorithm for image content preservation |
16 |
| Dynamics and synchronization of conformable fractional-order hyperchaotic systems using the Homotopy analysis method |
16 |
| Periodic and rational solutions of the reduced Maxwell-Bloch equations |
15 |
| An explicit dissipation-preserving method for Riesz space-fractional nonlinear wave equations in multiple dimensions |
15 |
| Lie symmetry analysis, exact solutions and conservation laws for the time fractional Caudrey-Dodd-Gibbon-Sawada-Kotera equation |
15 |
| The exact measures of the Sierpinski d-dimensional tetrahedron in connection with a Diophantine nonlinear system |
15 |
| Simulations of variable concentration aspects in a fractional nonlinear viscoelastic fluid flow |
15 |
| Numerical simulation of the nonlinear dynamics of harmonically driven Riesz-fractional extensions of the Fermi-Pasta-Ulam chains |
15 |
| Effects of time delays on stability and Hopf bifurcation in a fractional ring-structured network with arbitrary neurons |
14 |
| Prabhakar-like fractional viscoelasticity |
14 |
| Finite difference/finite element method for a novel 2D multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains |
14 |
| Direct transcription methods based on fractional integral approximation formulas for solving nonlinear fractional optimal control problems |
14 |
| Scattering of the phi(8) kinks with power-law asymptotics |
13 |
| Global stability and Hopf-bifurcation of prey-predator system with two discrete delays including habitat complexity and prey refuge |
13 |
| Variable order fractional systems |
13 |
| Threshold dynamics of HCV model with cell-to-cell transmission and a non-cytolytic cure in the presence of humoral immunity |
13 |
| Homotopy analysis method for predicting multiple solutions in the channel flow with stability analysis |
13 |
| Impacts of time delay on flocking dynamics of a two-agent flock model |
13 |
| Inhibitory electromagnetic induction current induces enhancement instead of reduction of neural bursting activities |
12 |
| Darboux transformations and global solutions for a nonlocal derivative nonlinear Schrodinger equation |
12 |
| Composite nonlinear feedback integral sliding mode tracker design for uncertain switched systems with input saturation |
12 |
| Generalized shifted Chebyshev polynomials for fractional optimal control problems |
12 |
| Stability analysis of neural networks with time-varying delay: Enhanced stability criteria and conservatism comparisons |
12 |
| Nonlinear waves of a nonlocal modified KdV equation in the atmospheric and oceanic dynamical system |
12 |
| An artificial neural network framework for reduced order modeling of transient flows |
12 |
| Dynamics of rogue waves in the partially PT-symmetric nonlocal Davey-Stewartson systems |
12 |
| Selection of spatial pattern on resonant network of coupled memristor and Josephson junction |
12 |
| FPGA-based implementation of different families of fractional-order chaotic oscillators applying Grunwald-Letnikov method |
12 |
