Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag–Leffler kernel differential operator

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

(2020) Omar Abu Arqub et al.   SOFT COMPUTING

The reproducing kernel algorithm for numerical solution of Van der Pol damping model in view of the Atangana-Baleanu fractional approach

(2020) Shaher Momani et al.   FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY

Piecewise optimal fractional reproducing kernel solution and convergence analysis for the Atangana-Baleanu-Caputo model of the Lienard's equation

(2020) Shaher Momani et al.   FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY

Nonlinear regularized long-wave models with a new integral transformation applied to the fractional derivative with power and Mittag-Leffler kernel

(2020) Mehmet Yavuz et al.   Advances in Difference Equations

Approximate solution of time-fractional fuzzy partial differential equations

(2019) Mehmet Senol et al.   computational and applied mathematics

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

Investigation of the fractional coupled viscous Burgers’ equation involving Mittag-Leffler kernel

(2019) Tukur Abdulkadir Sulaiman et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

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

A novel method for a fractional derivative with non-local and non-singular kernel

(2018) Ali Akgül   CHAOS SOLITONS & FRACTALS

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

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

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

Group preserving scheme and reproducing kernel method for the Poisson–Boltzmann equation for semiconductor devices

(2017) Ali Akgül et al.   NONLINEAR DYNAMICS

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

Numerical algorithm for solving time-fractional partial integrodifferential equations subject to initial and Dirichlet boundary conditions

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

On soliton structures of generalized resonance equation with time dependent coefficients

(2017) Fairouz Tchier et al.   OPTIK

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

Reproducing kernel functions for difference equations

(2015) Ali Akgül et al.   Discrete and Continuous Dynamical Systems-Series S

Reproducing Kernel Hilbert Space Method for Solving Bratu’s Problem

(2014) Mustafa Inc et al.   Bulletin of the Malaysian Mathematical Sciences Society

Approximate solutions for MHD squeezing fluid flow by a novel method

(2014) Mustafa Inc et al.   Boundary Value Problems

A numerical method for singularly perturbed turning point problems with an interior layer

(2013) F.Z. Geng et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

A collocation method based on reproducing kernel for a modified anomalous subdiffusion equation

(2013) Wei Jiang et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

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

Explicit solutions of fractional differential equations with uncertainty

(2011) T. Allahviranloo et al.   SOFT COMPUTING

Numerical algorithm for parabolic problems with non-classical conditions

(2009) Yongfang Zhou et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

On new solutions of fuzzy differential equations

(2006) Y. Chalco-Cano et al.   CHAOS SOLITONS & FRACTALS