**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**9

# Fractional Calculus Related Abstracts

##### 9 Modified Fractional Curl Operator

**Authors:**
Rawhy Ismail

**Abstract:**

**Keywords:**
Fractional Calculus,
curl operator,
fractional curl operators,
Maxwell equations

##### 8 Fractional-Order PI Controller Tuning Rules for Cascade Control System

**Authors:**
Truong Nguyen Luan Vu,
Le Hieu Giang,
Le Linh

**Abstract:**

**Keywords:**
Fractional Calculus,
Bode’s ideal transfer function,
fractional–order proportional integral (FOPI) controller,
cascade control system

##### 7 Analytical Design of Fractional-Order PI Controller for Decoupling Control System

**Authors:**
Truong Nguyen Luan Vu,
Le Hieu Giang,
Le Linh

**Abstract:**

**Keywords:**
Fractional Calculus,
ideal transfer function of bode,
fractional order proportional integral (FOPI) controller,
decoupling control system

##### 6 Stability Analysis of Tumor-Immune Fractional Order Model

**Authors:**
Sadia Arshad,
Yifa Tang,
Dumitru Baleanu

**Abstract:**

**Keywords:**
Numerical Simulations,
Fractional Calculus,
Stability Analysis,
cancer model

##### 5 Numerical Solution of Magneto-Hydrodynamic Flow of a Viscous Fluid in the Presence of Nanoparticles with Fractional Derivatives through a Cylindrical Tube

**Authors:**
Asma Rashid Butt,
Muhammad Abdullah,
Nauman Raza

**Abstract:**

**Keywords:**
Fractional Calculus,
Magnetic Particles,
viscous fluid,
laplace transformation

##### 4 Application of a SubIval Numerical Solver for Fractional Circuits

**Authors:**
Marcin Sowa

**Abstract:**

**Keywords:**
Fractional Calculus,
Circuit Analysis,
numerical method,
SubIval,
numerical solver

##### 3 A Mathematical Model Approach Regarding the Children’s Height Development with Fractional Calculus

**Authors:**
Nisa Özge Önal,
Kamil Karaçuha,
Göksu Hazar Erdinç,
Banu Bahar Karaçuha,
Ertuğrul Karaçuha

**Abstract:**

**Keywords:**
Fractional Calculus,
children growth percentile,
children physical development,
linear and polynomial model

##### 2 Nonlocal Phenomena in Quantum Mechanics

**Authors:**
HüSeyin ŞIrin,
Kazim G. Atman

**Abstract:**

**Keywords:**
Fractional Calculus,
Einstein’s Coefficients,
Fractional Quantum Mechanics,
Nonlocal Theories

##### 1 Fractional Calculus into Structural Dynamics

**Authors:**
Jorge Lopez

**Abstract:**

**Keywords:**
Structural dynamics,
Fractional Calculus,
coupled oscillators,
fractional oscillator