Numerical investigation for Caputo-Fabrizio fractional Riccati and Bernoulli equations using iterative reproducing kernel method

Hyperchaotic behaviors, optimal control, and synchronization of a nonautonomous cardiac conduction system

(2021) Dumitru Baleanu et al.   Advances in Difference Equations

Fuzzy fractional differential equations under the Mittag-Leffler kernel differential operator of the ABC approach: Theorems and applications

(2021) Mohammed Al-Smadi et al.   CHAOS SOLITONS & FRACTALS

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

(2021) Dumitru Baleanu et al.   Advances in Difference Equations

A nonstandard finite difference scheme for the modeling and nonidentical synchronization of a novel fractional chaotic system

(2021) Dumitru Baleanu et al.   Advances in Difference Equations

An attractive numerical algorithm for solving nonlinear Caputo–Fabrizio fractional Abel differential equation in a Hilbert space

(2021) Mohammed Al-Smadi et al.   Advances in Difference Equations

A Novel Technique to Control the Accuracy of a Nonlinear Fractional Order Model of COVID-19: Application of the CESTAC Method and the CADNA Library

(2021) Samad Noeiaghdam et al.   Mathematics

Computational algorithm for solving drug pharmacokinetic model under uncertainty with nonsingular kernel type Caputo-Fabrizio fractional derivative

(2021) Nesrine Harrouche et al.   Alexandria Engineering Journal

Modeling the dynamics of the novel coronavirus using Caputo-Fabrizio derivative

(2021) Ebraheem Alzahrani et al.   Alexandria Engineering Journal

Atangana-Baleanu fractional framework of reproducing kernel technique in solving fractional population dynamics system

(2020) Shatha Hasan et al.   CHAOS SOLITONS & FRACTALS

Numerical computations of coupled fractional resonant Schrödinger equations arising in quantum mechanics under conformable fractional derivative sense

(2020) Mohammed Al-Smadi et al.   PHYSICA SCRIPTA

An attractive analytical technique for coupled system of fractional partial differential equations in shallow water waves with conformable derivative

(2020) Mohammed Al-Smadi et al.   COMMUNICATIONS IN THEORETICAL PHYSICS

Modified analytical approach for generalized quadratic and cubic logistic models with Caputo-Fabrizio fractional derivative

(2020) Nadir Djeddi et al.   Alexandria Engineering Journal

Numerical simulation of telegraph and Cattaneo fractional‐type models using adaptive reproducing kernel framework

(2020) Mohammed Al‐Smadi et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Numerical approach in the Hilbert space to solve a fuzzy Atangana-Baleanu fractional hybrid system

(2020) Shatha Hasan et al.   CHAOS SOLITONS & FRACTALS

Two computational approaches for solving a fractional obstacle system in Hilbert space

(2019) Shatha Hasan et al.   Advances in Difference Equations

Jacobi collocation method for the approximate solution of some fractional-order Riccati differential equations with variable coefficients

(2019) Harendra Singh et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

On the fractional optimal control problems with a general derivative operator

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

An adaptive numerical approach for the solutions of fractional advection–diffusion and dispersion equations in singular case under Riesz’s derivative operator

(2019) Omar Abu Arqub et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

On some new properties of fractional derivatives with Mittag-Leffler kernel

(2018) Dumitru Baleanu et al.   Communications in Nonlinear Science and Numerical Simulation

A new collection of real world applications of fractional calculus in science and engineering

(2018) HongGuang Sun et al.   Communications in Nonlinear Science and Numerical Simulation

Iterative reproducing kernel Hilbert spaces method for Riccati differential equations

(2017) Mehmet Giyas Sakar   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

On the notion of fractional derivative and applications to the hysteresis phenomena

(2017) Michele Caputo et al.   MECCANICA

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

(2016) Abdon Atangana et al.   Thermal Science

A new approach for one-dimensional sine-Gordon equation

(2016) Ali Akgül et al.   Advances in Difference Equations

Numerical Solution of High Order Bernoulli Boundary Value Problems

(2014) F. Costabile et al.   Journal of Applied Mathematics

Nonlinear Fractional Jaulent-Miodek and Whitham-Broer-Kaup Equations within Sumudu Transform

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

Reproducing kernel method for singularly perturbed turning point problems having twin boundary layers

(2013) F.Z. Geng et al.   APPLIED MATHEMATICS LETTERS

A Computational Method for Two-Point Boundary Value Problems of Fourth-Order Mixed Integrodifferential Equations

(2013) Mohammed Al-Smadi et al.   MATHEMATICAL PROBLEMS IN ENGINEERING

A modified variational iteration method for solving Riccati differential equations

(2010) Fazhan Geng   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Fractional Electromagnetic Equations Using Fractional Forms

(2009) Dumitru Baleanu et al.   INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS

New method based on the HPM and RKHSM for solving forced Duffing equations with integral boundary conditions

(2009) Fazhan Geng et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS