$Novel approach to the analysis of fifth-order weakly nonlocal fractional Schrödinger equation with Caputo derivative$
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Novel approach to the analysis of fifth-order weakly nonlocal fractional Schrödinger equation with Caputo derivative

The main goal of this study is to find solutions for the fractional model of the fifth-order weakly nonlocal Schrödinger equation incorporating nonlinearity of the parabolic law and external potential using a recent modification of the homotopy analysis method (HAM) called the q-homotopy analysis tr...

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Autores principales:	Lanre Akinyemi, Kottakkaran Sooppy Nisar, C. Ahamed Saleel, Hadi Rezazadeh, Pundikala Veeresha, Mostafa M.A. Khater, Mustafa Inc
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Weakly nonlocal Schrödinger equation q-HATM Parabolic law Soliton solutions Laplace transform Caputo derivative Physics QC1-999
Acceso en línea:	https://doaj.org/article/a40d9737d4814dbea2598a0473e7fb85
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spelling	oai:doaj.org-article:a40d9737d4814dbea2598a0473e7fb852021-11-18T04:48:13ZNovel approach to the analysis of fifth-order weakly nonlocal fractional Schrödinger equation with Caputo derivative2211-379710.1016/j.rinp.2021.104958https://doaj.org/article/a40d9737d4814dbea2598a0473e7fb852021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S221137972100975Xhttps://doaj.org/toc/2211-3797The main goal of this study is to find solutions for the fractional model of the fifth-order weakly nonlocal Schrödinger equation incorporating nonlinearity of the parabolic law and external potential using a recent modification of the homotopy analysis method (HAM) called the q-homotopy analysis transform method (q-HATM). A mixture of q-HAM and Laplace transform is the projected solutions procedure. The method contributes approximate and exact (for some special cases) solutions such as the bright soliton, dark soliton, and exponential solutions. The simulation results using Mathematica package software, demonstrate that only a few terms are enough to achieve precise, effective, and reliable approximate solutions. In addition, in terms of plots for varying fractional order, the physical behavior of q-HATM solutions has been depicted and the numerical simulation is also exhibited. The results of q-HATM reveal that the projected method is competitive, reliable, and powerful for studying complex nonlinear models of fractional type.Lanre AkinyemiKottakkaran Sooppy NisarC. Ahamed SaleelHadi RezazadehPundikala VeereshaMostafa M.A. KhaterMustafa IncElsevierarticleWeakly nonlocal Schrödinger equationq-HATMParabolic lawSoliton solutionsLaplace transformCaputo derivativePhysicsQC1-999ENResults in Physics, Vol 31, Iss , Pp 104958- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Weakly nonlocal Schrödinger equation q-HATM Parabolic law Soliton solutions Laplace transform Caputo derivative Physics QC1-999
spellingShingle	Weakly nonlocal Schrödinger equation q-HATM Parabolic law Soliton solutions Laplace transform Caputo derivative Physics QC1-999 Lanre Akinyemi Kottakkaran Sooppy Nisar C. Ahamed Saleel Hadi Rezazadeh Pundikala Veeresha Mostafa M.A. Khater Mustafa Inc Novel approach to the analysis of fifth-order weakly nonlocal fractional Schrödinger equation with Caputo derivative
description	The main goal of this study is to find solutions for the fractional model of the fifth-order weakly nonlocal Schrödinger equation incorporating nonlinearity of the parabolic law and external potential using a recent modification of the homotopy analysis method (HAM) called the q-homotopy analysis transform method (q-HATM). A mixture of q-HAM and Laplace transform is the projected solutions procedure. The method contributes approximate and exact (for some special cases) solutions such as the bright soliton, dark soliton, and exponential solutions. The simulation results using Mathematica package software, demonstrate that only a few terms are enough to achieve precise, effective, and reliable approximate solutions. In addition, in terms of plots for varying fractional order, the physical behavior of q-HATM solutions has been depicted and the numerical simulation is also exhibited. The results of q-HATM reveal that the projected method is competitive, reliable, and powerful for studying complex nonlinear models of fractional type.
format	article
author	Lanre Akinyemi Kottakkaran Sooppy Nisar C. Ahamed Saleel Hadi Rezazadeh Pundikala Veeresha Mostafa M.A. Khater Mustafa Inc
author_facet	Lanre Akinyemi Kottakkaran Sooppy Nisar C. Ahamed Saleel Hadi Rezazadeh Pundikala Veeresha Mostafa M.A. Khater Mustafa Inc
author_sort	Lanre Akinyemi
title	Novel approach to the analysis of fifth-order weakly nonlocal fractional Schrödinger equation with Caputo derivative
title_short	Novel approach to the analysis of fifth-order weakly nonlocal fractional Schrödinger equation with Caputo derivative
title_full	Novel approach to the analysis of fifth-order weakly nonlocal fractional Schrödinger equation with Caputo derivative
title_fullStr	Novel approach to the analysis of fifth-order weakly nonlocal fractional Schrödinger equation with Caputo derivative
title_full_unstemmed	Novel approach to the analysis of fifth-order weakly nonlocal fractional Schrödinger equation with Caputo derivative
title_sort	novel approach to the analysis of fifth-order weakly nonlocal fractional schrödinger equation with caputo derivative
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/a40d9737d4814dbea2598a0473e7fb85
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Novel approach to the analysis of fifth-order weakly nonlocal fractional Schrödinger equation with Caputo derivative

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