Application of Laplace residual power series method for approximate solutions of fractional IVP’s

Achieving More Precise Bounds Based on Double and Triple Integral as Proposed by Generalized Proportional Fractional Operators in the Hilfer Sense

(2021) Maysaa Al-Qurashi et al.   FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY

Adapting the Laplace transform to create solitary solutions for the nonlinear time-fractional dispersive PDEs via a new approach

(2021) Ahmad El-Ajou   European Physical Journal Plus

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

New Multi-Parametrized Estimates Having pth-Order Differentiability in Fractional Calculus for Predominating ℏ-Convex Functions in Hilbert Space

(2020) Saima Rashid et al.   Symmetry-Basel

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

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

New Generalizations in the sense of the Weighted Non-Singular Fractional Integral Operator

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

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

Efficient sustainable algorithm for numerical solutions of systems of fractional order differential equations by Haar wavelet collocation method

(2020) Thabet Abdeljawad et al.   Alexandria Engineering Journal

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

Analytic solutions for a modified fractional three wave interaction equations with conformable derivative by unified method

(2020) Adeeb G. Talafha et al.   Alexandria Engineering Journal

A New Attractive Analytic Approach for Solutions of Linear and Nonlinear Neutral Fractional Pantograph Equations

(2020) Tareq Eriqat et al.   CHAOS SOLITONS & FRACTALS

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

A spectral collocation method for solving fractional KdV and KdV-Burgers equations with non-singular kernel derivatives

(2020) M.M. Khader et al.   APPLIED NUMERICAL MATHEMATICS

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

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

An Analytical Numerical Method for Solving Fuzzy Fractional Volterra Integro-Differential Equations

(2019) Mohammad Alaroud et al.   Symmetry-Basel

Construction of fractional power series solutions to fractional stiff system using residual functions algorithm

(2019) Asad Freihet et al.   Advances in Difference Equations

Fractional calculus with power law: The cradle of our ancestors⋆

(2019) Abdon Atangana et al.   European Physical Journal Plus

Application of Fractional Residual Power Series Algorithm to Solve Newell–Whitehead–Segel Equation of Fractional Order

(2019) Rania Saadeh et al.   Symmetry-Basel

Toward computational algorithm for time-fractional Fokker–Planck models

(2019) Asad Freihet et al.   Advances in Mechanical Engineering

Analytical approach for time fractional wave equations in the sense of Yang-Abdel-Aty-Cattani via the homotopy perturbation transform method

(2019) Mohamed Jleli et al.   Alexandria Engineering Journal

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

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

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 Multistep Approach for Solving Fractional Partial Differential Equations

(2017) Mohammed Al-Smadi et al.   International Journal of Computational Methods

Analytical Approximations of Partial Differential Equations of Fractional Order with Multistep Approach

(2016) Mohammed Al-Smadi et al.   Journal of Computational and Theoretical Nanoscience

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

(2016) Abdon Atangana et al.   Thermal Science

An Efficient Analytical Method for Solving Singular Initial Value Problems of Nonlinear Systems

(2016) Iryna Komashynska et al.   Applied Mathematics & Information Sciences

An Efficient Analytical Method for Solving Singular Initial Value Problems of Nonlinear Systems

(2016) Iryna Komashynska et al.   Applied Mathematics & Information Sciences

Analytical Study of Fractional-Order Multiple Chaotic FitzHugh-Nagumo Neurons Model Using Multistep Generalized Differential Transform Method

(2014) Shaher Momani et al.   Abstract and Applied Analysis

Fractional Electromagnetic Equations Using Fractional Forms

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