Modified Double Conformable Laplace Transform and Singular Fractional Pseudo-Hyperbolic and Pseudo-Parabolic Equations

Modified Double Conformable Laplace Transform and Singular Fractional Pseudo-Hyperbolic and Pseudo-Parabolic Equations

In this paper, double conformable Laplace’s transform (DCLT) and a few of its properties were studied, and then combine it with a new method to solve a new type of fractional partial differential equations called “Singular Fractional Pseudo-hyperbolic and Pseudo-parabolic Equations”. We observe that...

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Main Authors: Waleed M. Osman, Tarig M. Elzaki, Nagat A.A. Siddig
Format: Article
Language:English
Published: Elsevier 2021-05-01
Series:Journal of King Saud University: Science
Subjects:
Double conformable Laplace’s Transform (DCLT)
Singular Fractional Pseudo-Hyperbolic Equation
Singular Fractional Pseudo-Parabolic Equation
Online Access:http://www.sciencedirect.com/science/article/pii/S1018364721000392
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spelling doaj-bb87ab06611842e6b0d0f230f07ba89d2021-04-16T04:48:17ZengElsevierJournal of King Saud University: Science1018-36472021-05-01333101378Modified Double Conformable Laplace Transform and Singular Fractional Pseudo-Hyperbolic and Pseudo-Parabolic EquationsWaleed M. Osman0Tarig M. Elzaki1Nagat A.A. Siddig2Mathematics Department, College of Sciences and Arts, Dhahran Aljonoub, King Kalied University, Saudi ArabiaMathematics Department, Faculty of Sciences and Arts-Alkamil, University of Jeddah, Jeddah, Saudi Arabia; Corresponding author.Mathematics Department, College of Sciences and Arts, Dhahran Aljonoub, King Kalied University, Saudi ArabiaIn this paper, double conformable Laplace’s transform (DCLT) and a few of its properties were studied, and then combine it with a new method to solve a new type of fractional partial differential equations called “Singular Fractional Pseudo-hyperbolic and Pseudo-parabolic Equations”. We observe that this method is extremely efficient to these equations because we have created an exact solution by taking just one step at the same time as the other methods need more steps to get the exact solution.http://www.sciencedirect.com/science/article/pii/S1018364721000392Double conformable Laplace’s Transform (DCLT)Singular Fractional Pseudo-Hyperbolic EquationSingular Fractional Pseudo-Parabolic Equation
collection DOAJ
language English
format Article
sources DOAJ
author Waleed M. Osman
Tarig M. Elzaki
Nagat A.A. Siddig
spellingShingle Waleed M. Osman
Tarig M. Elzaki
Nagat A.A. Siddig
Modified Double Conformable Laplace Transform and Singular Fractional Pseudo-Hyperbolic and Pseudo-Parabolic Equations
Journal of King Saud University: Science
Double conformable Laplace’s Transform (DCLT)
Singular Fractional Pseudo-Hyperbolic Equation
Singular Fractional Pseudo-Parabolic Equation
author_facet Waleed M. Osman
Tarig M. Elzaki
Nagat A.A. Siddig
author_sort Waleed M. Osman
title Modified Double Conformable Laplace Transform and Singular Fractional Pseudo-Hyperbolic and Pseudo-Parabolic Equations
title_short Modified Double Conformable Laplace Transform and Singular Fractional Pseudo-Hyperbolic and Pseudo-Parabolic Equations
title_full Modified Double Conformable Laplace Transform and Singular Fractional Pseudo-Hyperbolic and Pseudo-Parabolic Equations
title_fullStr Modified Double Conformable Laplace Transform and Singular Fractional Pseudo-Hyperbolic and Pseudo-Parabolic Equations
title_full_unstemmed Modified Double Conformable Laplace Transform and Singular Fractional Pseudo-Hyperbolic and Pseudo-Parabolic Equations
title_sort modified double conformable laplace transform and singular fractional pseudo-hyperbolic and pseudo-parabolic equations
publisher Elsevier
series Journal of King Saud University: Science
issn 1018-3647
publishDate 2021-05-01
description In this paper, double conformable Laplace’s transform (DCLT) and a few of its properties were studied, and then combine it with a new method to solve a new type of fractional partial differential equations called “Singular Fractional Pseudo-hyperbolic and Pseudo-parabolic Equations”. We observe that this method is extremely efficient to these equations because we have created an exact solution by taking just one step at the same time as the other methods need more steps to get the exact solution.
topic Double conformable Laplace’s Transform (DCLT)
Singular Fractional Pseudo-Hyperbolic Equation
Singular Fractional Pseudo-Parabolic Equation
url http://www.sciencedirect.com/science/article/pii/S1018364721000392
work_keys_str_mv AT waleedmosman modifieddoubleconformablelaplacetransformandsingularfractionalpseudohyperbolicandpseudoparabolicequations
AT tarigmelzaki modifieddoubleconformablelaplacetransformandsingularfractionalpseudohyperbolicandpseudoparabolicequations
AT nagataasiddig modifieddoubleconformablelaplacetransformandsingularfractionalpseudohyperbolicandpseudoparabolicequations
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