contributor author | Fafa, Wafia | |
contributor author | Odibat, Zaid | |
contributor author | Shawagfeh, Nabil | |
date accessioned | 2023-08-16T18:06:54Z | |
date available | 2023-08-16T18:06:54Z | |
date copyright | 12/19/2022 12:00:00 AM | |
date issued | 2022 | |
identifier issn | 1555-1415 | |
identifier other | cnd_018_02_021004.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl1/handle/yetl/4291436 | |
description abstract | This study expands and modifies the homotopy analysis method to handle differential equations with generalized Caputo-type fractional derivatives. Analytical approximate solutions for such models were successfully provided using the proposed modification. The determination of the valid region of convergence for the proposed method, with respect to the auxiliary control parameter, was discussed when using fractional operators. Then, mainly, the accuracy and effectiveness of the proposed method was verified through illustrative examples and comparisons with the predictor corrector method and RK4 method. Finally, it is expected that the studied generalized operators and the suggested method can be widely applied in the field of fractional calculus. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | The Homotopy Analysis Method for Solving Differential Equations With Generalized Caputo-Type Fractional Derivatives | |
type | Journal Paper | |
journal volume | 18 | |
journal issue | 2 | |
journal title | Journal of Computational and Nonlinear Dynamics | |
identifier doi | 10.1115/1.4056392 | |
journal fristpage | 21004-1 | |
journal lastpage | 21004-11 | |
page | 11 | |
tree | Journal of Computational and Nonlinear Dynamics:;2022:;volume( 018 ):;issue: 002 | |
contenttype | Fulltext | |