A COMPARATIVE STUDY OF SEMI-ANALYTICAL METHODS FOR SOLVING FRACTIONAL-ORDER CAUCHY REACTION–DIFFUSION EQUATION

DOI10.1142/S0218348X21501437OpenAlexW3136313044MaRDI QIDQ5024995

Hijaz Ahmad, Nehad Ali Shah, S. M. Khaled, Jae Dong Chung, Yu-Ming Chu

Publication date: 1 February 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x21501437

zbMATH Keywords

homotopy perturbation methodCaputo derivativesnew iterative methodElzaki transformCauchy reaction-diffusion equation

Mathematics Subject Classification ID

Integral equations (45-XX) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)

Related Items (2)

Stability of mild solutions of the fractional nonlinear abstract Cauchy problem ⋮ Novel investigation of fractional-order Cauchy-reaction diffusion equation involving Caputo-Fabrizio operator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new approach for solving a system of fractional partial differential equations
• An iterative method for solving nonlinear functional equations
• Application of he's homotopy perturbation method for solving the Cauchy reaction-diffusion problem
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractals and fractional calculus in continuum mechanics
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Laplace transform: making the variational iteration method easier
• Homotopy perturbation method: a new nonlinear analytical technique
• Numerical solutions of fractional Fokker-Planck equations using iterative Laplace transform method
• Solvability of the boundary-value problem for a linear loaded integro-differential equation in an infinite three-dimensional domain
• Modified Laplace variational iteration method for solving fourth-order parabolic partial differential equation with variable coefficients
• A new iterative technique for a fractional model of nonlinear Zakharov-Kuznetsov equations via Sumudu transform
• Homotopy analysis Sumudu transform method for time-fractional third order dispersive partial differential equation
• Ternary-fractional differential transform schema: theory and application
• Differential transform method for conformable fractional partial differential equations
• Spatial Ecology via Reaction‐Diffusion Equations
• A NOVEL PERSPECTIVE FOR THE FRACTAL SCHRÖDINGER EQUATION
• A NOVEL APPROACH FOR FRACTAL BURGERS–BBM EQUATION AND ITS VARIATIONAL PRINCIPLE
• VARIATIONAL PRINCIPLE AND APPROXIMATE SOLUTION FOR THE FRACTAL GENERALIZED BENJAMIN–BONA–MAHONY–BURGERS EQUATION IN FLUID MECHANICS
• A fast adaptive spectral graph wavelet method for the viscous Burgers' equation on a star‐shaped connected graph
• A nonlinear fractional model to describe the population dynamics of two interacting species

This page was built for publication: A COMPARATIVE STUDY OF SEMI-ANALYTICAL METHODS FOR SOLVING FRACTIONAL-ORDER CAUCHY REACTION–DIFFUSION EQUATION