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

Fuzzy conformable fractional differential equations: novel extended approach and new numerical solutions

(2020) Omar Abu Arqub et al.   SOFT COMPUTING

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

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

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

Blood vessel detection based on fractional Hessian matrix with non-singular Mittag–Leffler Gaussian kernel

(2019) J.E. Solís-Pérez et al.   Biomedical Signal Processing and Control

Analytical numerical solutions of the fractional multi-pantograph system: Two attractive methods and comparisons

(2019) Ahmad El-Ajou et al.   Results in Physics

Series solutions of nonlinear conformable fractional KdV-Burgers equation with some applications

(2019) Ahmad El-Ajou et al.   European Physical Journal Plus

On the fuzzy fractional differential equation with interval Atangana–Baleanu fractional derivative approach

(2019) Tofigh Allahviranloo et al.   CHAOS SOLITONS & FRACTALS

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

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

Non validity of index law in fractional calculus: A fractional differential operator with Markovian and non-Markovian properties

(2018) Abdon Atangana   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Numerical Solutions of Fractional Systems of Two-Point BVPs by Using the Iterative Reproducing Kernel Algorithm

(2018) Z. Altawallbeh et al.   Ukrainian Mathematical Journal

Computational algorithm for solving fredholm time-fractional partial integrodifferential equations of dirichlet functions type with error estimates

(2018) Mohammed Al-Smadi et al.   APPLIED MATHEMATICS AND COMPUTATION

Numerical investigations for systems of second-order periodic boundary value problems using reproducing kernel method

(2016) Mohammed Al-Smadi et al.   APPLIED MATHEMATICS AND COMPUTATION

Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional order

(2016) Abdon Atangana 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

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

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

Generalized differentiability of fuzzy-valued functions

(2012) Barnabás Bede et al.   FUZZY SETS AND SYSTEMS

On the concept of solution for fractional differential equations with uncertainty

(2009) Ravi P. Agarwal et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS