Semi-analytic solutions of nonlinear multidimensional fractional differential equations-Reference-Cited by-同舟云学术

Semi-analytic solutions of nonlinear multidimensional fractional differential equations

Published:2022 Issue:12 Volume:19 Page:13306-13320
ISSN:1551-0018
Container-title:Mathematical Biosciences and Engineering
language:
Short-container-title:MBE

Author:

Botros M.¹,Ziada E. A. A.²,EL-Kalla I. L.³

Affiliation:

1. Basic Science Departement, Faculty of Engineering, Delta Universiry for Science and Technology, P. O. Box 11152, Mansoura, Egypt

2. Nile Higher Institute for Engineering and Technology, Mansoura, Egypt

3. Mathematics and Engineering Physics Department, Faculty of Engineering, Mansoura University, Mansoura, Egypt

Abstract

<abstract><p>In this paper, the Adomian decomposition method (ADM) and Picard technique are used to solve a class of nonlinear multidimensional fractional differential equations with Caputo-Fabrizio fractional derivative. The main advantage of the Caputo-Fabrizio fractional derivative appears in its non-singular kernel of a convolution type. The sufficient condition that guarantees a unique solution is obtained, the convergence of the series solution is discussed, and the maximum absolute error is estimated. Several numerical problems with an unknown exact solution are solved using the two techniques. A comparative study between the two solutions is presented. A comparative study shows that the time consumed by ADM is much smaller compared with the Picard technique.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modeling and Simulation,General Medicine

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