Modeling of a Mass-Spring-Damper System by Fractional Derivatives with and without a Singular Kernel

Modeling and simulation of the fractional space-time diffusion equation

(2016) J.F. Gómez-Aguilar et al.   Communications in Nonlinear Science and Numerical Simulation

Multi-objective optimization of distributed-order fractional damping

(2015) Yousef Naranjani et al.   Communications in Nonlinear Science and Numerical Simulation

Analysis of the Keller–Segel Model with a Fractional Derivative without Singular Kernel

(2015) Abdon Atangana et al.   Entropy

Universal character of the fractional space-time electromagnetic waves in dielectric media

(2015) J.F. Gómez-Aguilar et al.   JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS

Reduction of oscillations via fractional order pre-filtering

(2015) Mohammad Saleh Tavazoei   SIGNAL PROCESSING

Analysis of Natural and Artificial Phenomena Using Signal Processing and Fractional Calculus

(2015) J. A. Tenreiro Machado et al.   Fractional Calculus and Applied Analysis

Extension of the resistance, inductance, capacitance electrical circuit to fractional derivative without singular kernel

(2015) Abdon Atangana et al.   Advances in Mechanical Engineering

Space-Time Fractional Diffusion-Advection Equation with Caputo Derivative

(2014) José Francisco Gómez Aguilar et al.   Abstract and Applied Analysis

Damage Detection of a Continuous Bridge from Response of a Moving Vehicle

(2014) Z. H. Li et al.   SHOCK AND VIBRATION

On the Solution of the Nonlinear Fractional Diffusion-Wave Equation with Absorption: a Homotopy Approach

(2014) Vivek Mishra et al.   ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES

Fractional Transmission Line with Losses

(2014) José Francisco Gómez-Aguilar et al.   ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES

From the hyper-Bessel operators of Dimovski to the generalized fractional calculus

(2014) Virginia Kiryakova   Fractional Calculus and Applied Analysis

A Note on Fractional Order Derivatives and Table of Fractional Derivatives of Some Special Functions

(2013) Abdon Atangana et al.   Abstract and Applied Analysis

On development of fractional calculus during the last fifty years

(2013) J. A. Tenreiro Machado et al.   SCIENTOMETRICS

The mellin integral transform in fractional calculus

(2013) Yuri Luchko et al.   Fractional Calculus and Applied Analysis

An historical perspective on fractional calculus in linear viscoelasticity

(2012) Francesco Mainardi   Fractional Calculus and Applied Analysis

The fractional oscillator as an open system

(2012) Vasily Tarasov   Open Physics

Recent history of fractional calculus

(2010) J. Tenreiro Machado et al.   Communications in Nonlinear Science and Numerical Simulation

Application of numerical inverse Laplace transform algorithms in fractional calculus

(2010) Hu Sheng et al.   JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS

The multi-index Mittag-Leffler functions as an important class of special functions of fractional calculus

(2009) V. Kiryakova   COMPUTERS & MATHEMATICS WITH APPLICATIONS