Computational Analysis of Fractional Diffusion Equations Occurring in Oil Pollution

.An optimal Galerkin-homotopy asymptotic method applied to the nonlinear second-order BVPs

(2021) Jalil Manafian   Proceedings of the Institute of Mathematics and Mechanics

On the analysis of an analytical approach for fractional Caudrey-Dodd-Gibbon equations

(2021) Jagdev Singh et al.   Alexandria Engineering Journal

An efficient computational method for local fractional transport equation occurring in fractal porous media

(2020) Jagdev Singh et al.   computational and applied mathematics

Analysis of fractional model of guava for biological pest control with memory effect

(2020) Jagdev Singh et al.   Journal of Advanced Research

A SCR-based error estimation and adaptive finite element method for the Allen–Cahn equation

(2019) Yaoyao Chen et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

A modified numerical scheme and convergence analysis for fractional model of Lienard’s equation

(2018) Devendra Kumar et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Efficient numerical scheme for solving the Allen-Cahn equation

(2018) Abdullah Shah et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

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 Legendre Wavelet-Based Approximation Method for a Few Newell–Whitehead and Allen–Cahn Equations

(2014) G. Hariharan   JOURNAL OF MEMBRANE BIOLOGY

An adaptation of homotopy analysis method for reliable treatment of strongly nonlinear problems: construction of homotopy polynomials

(2014) Zaid Odibat et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Caputo-type modification of the Hadamard fractional derivatives

(2012) Fahd Jarad et al.   Advances in Difference Equations

New approach to a generalized fractional integral

(2011) Udita N. Katugampola   APPLIED MATHEMATICS AND COMPUTATION

Solving nonlinear fractional partial differential equations using the homotopy analysis method

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