Existence and data dependence results for fractional differential equations involving atangana-baleanu derivative

A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative

(2020) Behzad Ghanbari et al.   CHAOS SOLITONS & FRACTALS

Applications of some fixed point theorems for fractional differential equations with Mittag-Leffler kernel

(2020) Hojjat Afshari et al.   Advances in Difference Equations

On a comprehensive model of the novel coronavirus (COVID-19) under Mittag-Leffler derivative

(2020) Mohammed S. Abdo et al.   CHAOS SOLITONS & FRACTALS

Study of evolution problem under Mittag–Leffler type fractional order derivative

(2020) Kamal Shah et al.   Alexandria Engineering Journal

On new approach of fractional derivative by Mittag-Leffler kernel to neutral integro-differential systems with impulsive conditions

(2020) C. Ravichandran et al.   CHAOS SOLITONS & FRACTALS

A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment

(2020) Sunil Kumar et al.   CHAOS SOLITONS & FRACTALS

Mathematical model for spreading of COVID‐19 virus with the Mittag–Leffler kernel

(2020) Kumararaju Logeswari et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Study of transmission dynamics of COVID-19 mathematical model under ABC fractional order derivative

(2020) Sabri T.M. Thabet et al.   Results in Physics

Analysis of the fractional tumour-immune-vitamins model with Mittag–Leffler kernel

(2020) Shabir Ahmad et al.   Results in Physics

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

New results on existence in the framework of Atangana–Baleanu derivative for fractional integro-differential equations

(2019) C. Ravichandran 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

A new fractional modelling and control strategy for the outbreak of dengue fever

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

On the nonlinear dynamical systems within the generalized fractional derivatives with Mittag–Leffler kernel

(2018) Dumitru Baleanu et al.   NONLINEAR DYNAMICS

Mathematical analysis and numerical simulation for a smoking model with Atangana–Baleanu derivative

(2018) Sümeyra Uçar et al.   CHAOS SOLITONS & FRACTALS

On a class of ordinary differential equations in the frame of Atangana–Baleanu fractional derivative

(2018) Fahd Jarad et al.   CHAOS SOLITONS & FRACTALS

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

(2016) Abdon Atangana et al.   Thermal Science

Existence of fractional neutral functional differential equations

(2009) R.P. Agarwal et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

General uniqueness and monotone iterative technique for fractional differential equations

(2008) V. Lakshmikantham et al.   APPLIED MATHEMATICS LETTERS

Theory of fractional functional differential equations

(2007) V. Lakshmikantham   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS