Fractional Calculus and Applied Analysis

Titel Veröffentlichungsdatum Sprache Zitate
Ten Equivalent Definitions of the Fractional Laplace Operator2017/02/01English291
Numerical methods for solving the multi-term time-fractional wave-diffusion equation2013/03/01English249
A Review on Variable-Order Fractional Differential Equations: Mathematical Foundations, Physical Models, Numerical Methods and Applications2019/02/01English208
A survey on impulsive fractional differential equations2016/08/01English175
A finite element method for time fractional partial differential equations2011/06/29English171
Fractional Calculus in Image Processing: A Review2016/10/01English166
Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation2011/12/29English141
On explicit stability conditions for a linear fractional difference system2015/05/23English134
Time-fractional diffusion equation in the fractional Sobolev spaces2015/05/23English130
Spectral approximations to the fractional integral and derivative2012/06/30English123
Some generalized fractional calculus operators and their applications in integral equations2012/09/29English118
Some pioneers of the applications of fractional calculus2014/03/21English116
Models of Dielectric Relaxation Based on Completely Monotone Functions2016/10/01English110
A fully Hadamard type integral boundary value problem of a coupled system of fractional differential equations2014/03/21English107
Fundamental solution of a distributed order time-fractional diffusion-wave equation as probability density2013/03/19English107
Too Much Regularity May Force Too Much Uniqueness2016/12/01English102
General time-fractional diffusion equation: some uniqueness and existence results for the initial-boundary-value problems2016/06/01English99
A Practical Guide to Prabhakar Fractional Calculus2020/02/01English98
An historical perspective on fractional calculus in linear viscoelasticity2012/09/29English95
On the oscillation of fractional differential equations2012/03/18English88
The Chronicles of Fractional Calculus2017/04/01English85
Erdélyi-Kober fractional diffusion2011/12/29English84
A Lyapunov-type inequality for a fractional boundary value problem2013/09/13English83
A variable-order time-fractional derivative model for chloride ions sub-diffusion in concrete structures2013/03/01English83
On a System of Fractional Differential Equations with Coupled Integral Boundary Conditions2015/03/13English83
Why Fractional Derivatives with Nonsingular Kernels Should Not Be Used2020/06/01English82
New spectral techniques for systems of fractional differential equations using fractional-order generalized Laguerre orthogonal functions2014/09/03English81
Strong maximum principle for fractional diffusion equations and an application to an inverse source problem2016/08/01English79
High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations (II)2015/05/23English78
Fractional Impulsive Differential Equations: Exact Solutions, Integral Equations and Short Memory Case2019/02/01English78