On a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and control

A new study on the mathematical modelling of human liver with Caputo–Fabrizio fractional derivative

(2020) Dumitru Baleanu et al.   CHAOS SOLITONS & FRACTALS

The fractional features of a harmonic oscillator with position-dependent mass

(2020) Dumitru Baleanu et al.   COMMUNICATIONS IN THEORETICAL PHYSICS

New results on nonlocal functional integro-differential equations via Hilfer fractional derivative

(2020) R. Subashini et al.   Alexandria Engineering Journal

Novel Numerical Approach Based on Modified Extended Cubic B-Spline Functions for Solving Non-Linear Time-Fractional Telegraph Equation

(2020) Tayyaba Akram et al.   Symmetry-Basel

Fractional Brinkman type fluid in channel under the effect of MHD with Caputo-Fabrizio fractional derivative

(2020) Zar Ali Khan et al.   Alexandria Engineering Journal

Determining new soliton solutions for a generalized nonlinear evolution equation using an effective analytical method

(2020) Behzad Ghanbari et al.   Alexandria Engineering Journal

Some Effective Numerical Techniques for Chaotic Systems Involving Fractal-Fractional Derivatives With Different Laws

(2020) Behzad Ghanbari et al.   Frontiers in Physics

A New Iterative Method for the Numerical Solution of High-Order Non-linear Fractional Boundary Value Problems

(2020) Amin Jajarmi et al.   Frontiers in Physics

Solutions to fractional neutral delay differential nonlocal systems

(2020) N. Valliammal et al.   CHAOS SOLITONS & FRACTALS

A new adaptive synchronization and hyperchaos control of a biological snap oscillator

(2020) Samaneh Sadat Sajjadi et al.   CHAOS SOLITONS & FRACTALS

Analysis of differential equations involving Caputo–Fabrizio fractional operator and its applications to reaction–diffusion equations

(2019) Amjad Shaikh et al.   Advances in Difference Equations

A new and efficient numerical method for the fractional modeling and optimal control of diabetes and tuberculosis co-existence

(2019) Amin Jajarmi et al.   CHAOS

A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator

(2019) D. Baleanu et al.   CHAOS

Transmission dynamics of fractional order Typhoid fever model using Caputo–Fabrizio operator

(2019) Amjad S. Shaikh et al.   CHAOS SOLITONS & FRACTALS

A New Feature of the Fractional Euler–Lagrange Equations for a Coupled Oscillator Using a Nonsingular Operator Approach

(2019) Amin Jajarmi et al.   Frontiers in Physics

On the fractional optimal control problems with a general derivative operator

(2019) Amin Jajarmi et al.   ASIAN JOURNAL OF CONTROL

A new fractional HRSV model and its optimal control: A non-singular operator approach

(2019) Amin Jajarmi et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

On the Motion of a heavy bead sliding on a rotating wire- Fractional treatment

(2018) Dumitru Baleanu et al.   Results in Physics

Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel

(2017) Thabet Abdeljawad et al.   Journal of Nonlinear Sciences and Applications

An efficient recursive shooting method for the optimal control of time-varying systems with state time-delay

(2016) Amin Jajarmi et al.   APPLIED MATHEMATICAL MODELLING

A unified difference-spectral method for time–space fractional diffusion equations

(2016) Jianfei Huang et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model

(2016) Abdon Atangana et al.   Thermal Science

Numerical solution of the fractional Euler-Lagrange’s equations of a thin elastica model

(2015) Dumitru Baleanu et al.   NONLINEAR DYNAMICS

Hyperchaos control of the hyperchaotic Chen system by optimal control design

(2013) S. Effati et al.   NONLINEAR DYNAMICS

Infinite horizon optimal control for nonlinear interconnected large-scale dynamical systems with an application to optimal attitude control

(2011) Amin Jajarmi et al.   ASIAN JOURNAL OF CONTROL

Sensitivity control of a MR-damper semi-active suspension

(2010) Arjon Turnip et al.   International Journal of Precision Engineering and Manufacturing