The Analysis of the Fractional-Order Navier-Stokes Equations by a Novel Approach

Novel Investigation of Fractional-Order Cauchy-Reaction Diffusion Equation Involving Caputo-Fabrizio Operator

(2022) Meshari Alesemi et al.   Journal of Function Spaces

Analytical investigation of fractional-order Newell-Whitehead-Segel equations via a novel transform

(2022) Mounirah Areshi et al.   AIMS Mathematics

Fractional Analysis of Coupled Burgers Equations within Yang Caputo-Fabrizio Operator

(2022) Nehad Ali Shah et al.   Journal of Function Spaces

An Efficient Technique of Fractional-Order Physical Models Involving ρ-Laplace Transform

(2022) Nehad Ali Shah et al.   Mathematics

A Comparative Analysis of the Fractional-Order Coupled Korteweg–De Vries Equations with the Mittag–Leffler Law

(2022) Noufe H. Aljahdaly et al.   Journal of Mathematics

Analysis of fractional multi-dimensional Navier–Stokes equation

(2021) Yu-Ming Chu et al.   Advances in Difference Equations

A spectral approach to analyze the nonlinear oscillatory fractional-order differential equations

(2021) Muhammad Hamid et al.   CHAOS SOLITONS & FRACTALS

A New Analysis of Fractional-Order Equal-Width Equations via Novel Techniques

(2021) Muhammad Naeem et al.   Symmetry-Basel

The Comparative Study for Solving Fractional-Order Fornberg–Whitham Equation via ρ-Laplace Transform

(2021) Pongsakorn Sunthrayuth et al.   Symmetry-Basel

An Analytical Technique, Based on Natural Transform to Solve Fractional-Order Parabolic Equations

(2021) Ravi P. Agarwal et al.   Entropy

Numerical Investigation of Fractional-Order Swift–Hohenberg Equations via a Novel Transform

(2021) Kamsing Nonlaopon et al.   Symmetry-Basel

Analysis of the Time Fractional-Order Coupled Burgers Equations with Non-Singular Kernel Operators

(2021) Noufe H. Aljahdaly et al.   Mathematics

Numerical Methods for Fractional-Order Fornberg-Whitham Equations in the Sense of Atangana-Baleanu Derivative

(2021) Naveed Iqbal et al.   Journal of Function Spaces

A New Operational Matrices-Based Spectral Method for Multi-Order Fractional Problems

(2020) M. Hamid et al.   Symmetry-Basel

Engineering Applications of Peristaltic Fluid Flow with Hall Current, Thermal Deposition and Convective Conditions

(2020) Humaira Yasmin et al.   Mathematics

q-Homotopy analysis method for solving the seventh-order time-fractional Lax’s Korteweg–de Vries and Sawada–Kotera equations

(2019) Lanre Akinyemi   computational and applied mathematics

New fractional derivatives with non-singular kernel applied to the Burgers equation

(2018) Khaled M. Saad et al.   CHAOS

Reduced differential transform method for solving time and space local fractional partial differential equations

(2017) Omer Acan et al.   Journal of Nonlinear Sciences and Applications

Homotopy perturbation sumudu transform method for solving convective radial fins with temperature-dependent thermal conductivity of fractional order energy balance equation

(2014) A. Patra et al.   INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER

Fractal heat conduction problem solved by local fractional variation iteration method

(2012) Xiao-Jun Yang et al.   Thermal Science

Solving nonlinear fractional partial differential equations using the homotopy analysis method

(2009) Mehdi Dehghan et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Analytical solution of time-fractional Navier–Stokes equation in polar coordinate by homotopy perturbation method

(2009) Z.Z. Ganji et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Homotopy analysis method for fractional IVPs

(2007) I. Hashim et al.   Communications in Nonlinear Science and Numerical Simulation