Recent advances in fractional differential equations
Diffusion process modeling by using fractional-order models
Lattice fractional calculus
Generalized convolution
Maximum principle for the multi-term time-fractional diffusion equations with the Riemann–Liouville fractional derivatives
Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation
Controllability of fractional damped dynamical systems
Computing Hadamard type operators of variable fractional order
Suppressing chaos in discontinuous systems of fractional order by active control
Nonlocal impulsive fractional differential inclusions with fractional sectorial operators on Banach spaces
A novel expansion iterative method for solving linear partial differential equations of fractional order
Initial value/boundary value problem for composite fractional relaxation equation
Fractional Cauchy problems with almost sectorial operators
Weighted pseudo almost automorphic solutions to a semilinear fractional differential equation with Stepanov-like weighted pseudo almost automorphic nonlinear term
Existence and uniqueness of an attractive nonlinear diffusion system
Existence and controllability for fractional evolution inclusions of Clarke’s subdifferential type
Uniqueness and Ulam stabilities results for partial fractional differential equations with not instantaneous impulses
On a time fractional reaction diffusion equation
Two fractional derivative inclusion problems via integral boundary condition
Dynamics of a fractional hydrodynamical equation for the Heisenberg paramagnet
Nonexistence of periodic solutions and S-asymptotically periodic solutions in fractional difference equations
Maximum-norm error analysis of a difference scheme for the space fractional CNLS
The spectral analysis for a singular fractional differential equation with a signed measure
A weighted numerical algorithm for two and three dimensional two-sided space fractional wave equations
Robust stability and stabilization of fractional-order linear systems with polytopic uncertainties
Some new results for multi-valued fractional evolution equations
Analytic study on linear neutral fractional differential equations
Stability analysis by Krasnoselskii’s fixed point theorem for nonlinear fractional differential equations
Solving the time-fractional diffusion equation via Sinc–Haar collocation method
Time-fractional thermoelasticity problem for a sphere subjected to the heat flux
Group classification of nonlinear time-fractional diffusion equation with a source term
Existence of mild solution for evolution equation with Hilfer fractional derivative
Crank–Nicolson ADI Galerkin finite element method for two-dimensional fractional FitzHugh–Nagumo monodomain model
Heat conduction modeling by using fractional-order derivatives
Pressure responses of a vertically hydraulic fractured well in a reservoir with fractal structure
Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients
Fractional differential equation models with pulses and criterion for pest management
Solutions of nonlinear Schrödinger equation with fractional Laplacian without the Ambrosetti–Rabinowitz condition
Multiple solutions for a coupled system of nonlinear fractional differential equations via variational methods
Fractional oscillator equation – Transformation into integral equation and numerical solution
Qualitative analysis for solutions of a certain more generalized two-dimensional fractional differential system with Hadamard derivative
Second-order explicit difference schemes for the space fractional advection diffusion equation
Bifurcation from interval and positive solutions of the three-point boundary value problem for fractional differential equations
A center Box method for radially symmetric solution of fractional subdiffusion equation
Convergence of solutions of mixed stochastic delay differential equations with applications
Nonlinear dynamic response of a fractionally damped cylindrical shell with a three-to-one internal resonance
Positive solutions for eigenvalue problems of fractional differential equation with generalized p-Laplacian
Fractional-order total variation image denoising based on proximity algorithm
Fractional order nonlinear systems with delay in iterative learning control
Finite element method for two-dimensional space-fractional advection–dispersion equations
Mellin transforms of generalized fractional integrals and derivatives
Impulsive fractional partial differential equations
A fast semi-implicit difference method for a nonlinear two-sided space-fractional diffusion equation with variable diffusivity coefficients