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

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

(2020) Omar Abu Arqub et al.   SOFT COMPUTING

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

Fuzzy fractional differential equations with the generalized Atangana-Baleanu fractional derivative

(2020) Ho Vu et al.   FUZZY SETS AND SYSTEMS

Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC – Fractional Volterra integro-differential equations

(2019) Omar Abu Arqub et al.   CHAOS SOLITONS & FRACTALS

Fractional difference operators with discrete generalized Mittag–Leffler kernels

(2019) Thabet Abdeljawad   CHAOS SOLITONS & FRACTALS

Modulation of reproducing kernel Hilbert space method for numerical solutions of Riccati and Bernoulli equations in the Atangana-Baleanu fractional sense

(2019) Omar Abu Arqub et al.   CHAOS SOLITONS & FRACTALS

Spline collocation methods for systems of fuzzy fractional differential equations

(2019) Zahra Alijani et al.   CHAOS SOLITONS & FRACTALS

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

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

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

Numerical solutions for the Robin time-fractional partial differential equations of heat and fluid flows based on the reproducing kernel algorithm

(2018) Omar Abu Arqub   INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW

Numerical solutions of time-fractional partial integrodifferential equations of Robin functions types in Hilbert space with error bounds and error estimates

(2018) Omar Abu Arqub et al.   NONLINEAR DYNAMICS

Decolonisation of fractional calculus rules: Breaking commutativity and associativity to capture more natural phenomena

(2018) Abdon Atangana et al.   European Physical Journal Plus

Numerical solutions of systems of first-order, two-point BVPs based on the reproducing kernel algorithm

(2018) Omar Abu Arqub   CALCOLO

Fractional derivatives with no-index law property: Application to chaos and statistics

(2018) Abdon Atangana et al.   CHAOS SOLITONS & FRACTALS

Fuzzy fractional differential equations under Caputo–Katugampola fractional derivative approach

(2018) Ngo Van Hoa et al.   FUZZY SETS AND SYSTEMS

Exact solutions for some time-fractional evolution equations using Lie group theory

(2018) Bibekananda Bira et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Numerical solutions of integrodifferential equations of Fredholm operator type in the sense of the Atangana–Baleanu fractional operator

(2018) Omar Abu Arqub et al.   CHAOS SOLITONS & FRACTALS

Atangana–Baleanu fractional approach to the solutions of Bagley–Torvik and Painlevé equations in Hilbert space

(2018) Omar Abu Arqub et al.   CHAOS SOLITONS & FRACTALS

Solutions of time-fractional Tricomi and Keldysh equations of Dirichlet functions types in Hilbert space

(2017) Omar Abu Arqub   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Approximate Solutions of DASs with Nonclassical Boundary Conditions using Novel Reproducing Kernel Algorithm

(2016) Omar Abu Arqub   FUNDAMENTA INFORMATICAE

The reproducing kernel algorithm for handling differential algebraic systems of ordinary differential equations

(2016) Omar Abu Arqub   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Application of reproducing kernel algorithm for solving second-order, two-point fuzzy boundary value problems

(2016) Omar Abu Arqub et al.   SOFT COMPUTING

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

(2016) Abdon Atangana et al.   Thermal Science

On Analytical Solutions of the Fractional Differential Equation with Uncertainty: Application to the Basset Problem

(2015) Soheil Salahshour et al.   Entropy

Adaptation of reproducing kernel algorithm for solving fuzzy Fredholm–Volterra integrodifferential equations

(2015) Omar Abu Arqub   NEURAL COMPUTING & APPLICATIONS

Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method

(2015) Omar Abu Arqub et al.   SOFT COMPUTING

Application of a thermodynamically compatible two-phase flow model to the high-resolution simulations of compressible gas-magma flow

(2015) D. Zeidan et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

A Jacobi operational matrix for solving a fuzzy linear fractional differential equation

(2013) Ali Ahmadian et al.   Advances in Difference Equations

The variational iteration method for fuzzy fractional differential equations with uncertainty

(2013) Ekhtiar Khodadadi et al.   Fixed Point Theory and Applications

Retracted: Fuzzy fractional Ostrowski inequality with Caputo differentiability

(2013) Tofigh Allahviranloo et al.   JOURNAL OF INEQUALITIES AND APPLICATIONS

Solving fuzzy fractional differential equations by fuzzy Laplace transforms

(2011) S. Salahshour et al.   Communications in Nonlinear Science and Numerical Simulation

On the fractional differential equations with uncertainty

(2011) Sadia Arshad et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Explicit solutions of fractional differential equations with uncertainty

(2011) T. Allahviranloo et al.   SOFT COMPUTING

On the concept of solution for fractional differential equations with uncertainty

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