Fractional Derivatives with Mittag-Leffler Kernel

Chapter 1 Reproducing Kernel Method for Fractional Derivative with Non-local and Non-singular Kernel

Chapter 2 Necessary and Sufficient Optimality Conditions for Fractional Problems Involving Atangana–Baleanu’s Derivatives

Chapter 3 Variable order Mittag-Leffler fractional operators on isolated time scales and application to the calculus of variations

Chapter 4 Modeling and Analysis of Fractional Leptospirosis Model Using Atangana–Baleanu Derivative

Chapter 5 Dual Fractional Analysis of Blood Alcohol Model Via Non-integer Order Derivatives

Chapter 6 Parameter Estimation of Fractional Gompertz Model Using Cuckoo Search Algorithm

Chapter 7 Existence and Uniqueness Results for a Novel Complex Chaotic Fractional Order System

Chapter 8 On the Chaotic Pole of Attraction with Nonlocal and Nonsingular Operators in Neurobiology

Chapter 9 Modulating Chaotic Oscillations in Autocatalytic Reaction Networks Using Atangana–Baleanu Operator

Chapter 10 Development and Elaboration of a Compound Structure of Chaotic Attractors with Atangana–Baleanu Operator

Chapter 11 On the Atangana–Baleanu Derivative and Its Relation to the Fading Memory Concept: The Diffusion Equation Formulation

Chapter 12 Numerical Solutions and Pattern Formation Process in Fractional Diffusion-Like Equations

Chapter 13 Heat Transfer Analysis in Ethylene Glycol Based Molybdenum Disulfide Generalized Nanofluid via Atangana–Baleanu Fractional Derivative Approach

Chapter 14 Atangana–Baleanu Derivative with Fractional Order Applied to the Gas Dynamics Equations

Chapter 15 New Direction of Atangana–Baleanu Fractional Derivative with Mittag-Leffler Kernel for Non-Newtonian Channel Flow

Chapter 16 Exact Solutions for the Liénard Type Model via Fractional Homotopy Methods

Chapter 17 Model of Coupled System of Fractional Reaction-Diffusion Within a New Fractional Derivative Without Singular Kernel

Chapter 18 Upwind-Based Numerical Approximation of a Space-Time Fractional Advection-Dispersion Equation for Groundwater Transport Within Fractured Systems