NEW ITERATIVE TRANSFORM METHOD FOR TIME AND SPACE FRACTIONAL (n + 1)-DIMENSIONAL HEAT AND WAVE TYPE EQUATIONS-Reference-Cited by-同舟云学术

NEW ITERATIVE TRANSFORM METHOD FOR TIME AND SPACE FRACTIONAL (n + 1)-DIMENSIONAL HEAT AND WAVE TYPE EQUATIONS

Published:2021-03-30 Issue:03 Volume:29 Page:2150056
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

FARID S.¹,NAWAZ R.¹,SHAH ZAHIR²^ORCID,ISLAM SAEED¹,DEEBANI WEJDAN³

Affiliation:

1. Department of Mathematics, Abdul Wali Khan University, Mardan KP, Pakistan

2. Department of Mathematics, University of Lakki Marwat, Lakki Marwat 28420, Khyber Pakhtunkhwa, Pakistan

3. Department of Mathematics, College of Science & Arts, King Abdulaziz University, P.O. Box 344, Rabigh 21911, Saudi Arabia

Abstract

In this study, we examine and using Laplace Transform as a way to find approximate solutions to multi-dimensional space and time fractional order problems and propose numerical algorithm for solving ([Formula: see text])-dimensional time and space fractional order heat like and time and space fractional wave-like equations. This method is a combination of Laplace Transform and iterative method. The fractional derivative is described in the Caputo sense. The results obtained by proposed scheme are compared with different other schemes. This scheme is found to be very efficient and effective for linear and nonlinear time and space fractional order problems.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X21500560

Reference22 articles.

1. On a nonlinear fractional order model of dengue fever disease under Caputo-Fabrizio derivative

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