Double Conformable Sumudu Transform

Abdallah Al-Rab’a; Sharifa Al-Sharif; Mohammad Al-Khaleel

doi:10.3390/sym14112249

Double Conformable Sumudu Transform

Abdallah Al-Rab’a, Sharifa Al-Sharif, Mohammad Al-Khaleel

Mathematics

Yarmouk University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this paper, we introduce a new approach to solving fractional initial and boundary value problems involving a heat equation, a wave equation, and a telegraph equation by modifying the double Sumudu transform of the fractional type. We discuss a modified double conformable Sumudu transform together with the conditions for its existence. In addition, we prove some more properties of the fractional-type Sumudu transform, including convolution and other properties, which are well known for their use in solving various symmetric and asymmetric problems in applied sciences and engineering.

Original language	British English
Article number	2249
Journal	Symmetry
Volume	14
Issue number	11
DOIs	https://doi.org/10.3390/sym14112249
State	Published - Nov 2022

Keywords

conformable fractional derivative
convolution
Sumudu transform

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10.3390/sym14112249

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title = "Double Conformable Sumudu Transform",

abstract = "In this paper, we introduce a new approach to solving fractional initial and boundary value problems involving a heat equation, a wave equation, and a telegraph equation by modifying the double Sumudu transform of the fractional type. We discuss a modified double conformable Sumudu transform together with the conditions for its existence. In addition, we prove some more properties of the fractional-type Sumudu transform, including convolution and other properties, which are well known for their use in solving various symmetric and asymmetric problems in applied sciences and engineering.",

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AU - Al-Rab’a, Abdallah

AU - Al-Sharif, Sharifa

AU - Al-Khaleel, Mohammad

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N2 - In this paper, we introduce a new approach to solving fractional initial and boundary value problems involving a heat equation, a wave equation, and a telegraph equation by modifying the double Sumudu transform of the fractional type. We discuss a modified double conformable Sumudu transform together with the conditions for its existence. In addition, we prove some more properties of the fractional-type Sumudu transform, including convolution and other properties, which are well known for their use in solving various symmetric and asymmetric problems in applied sciences and engineering.

AB - In this paper, we introduce a new approach to solving fractional initial and boundary value problems involving a heat equation, a wave equation, and a telegraph equation by modifying the double Sumudu transform of the fractional type. We discuss a modified double conformable Sumudu transform together with the conditions for its existence. In addition, we prove some more properties of the fractional-type Sumudu transform, including convolution and other properties, which are well known for their use in solving various symmetric and asymmetric problems in applied sciences and engineering.

KW - conformable fractional derivative

KW - convolution

KW - Sumudu transform

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JO - Symmetry

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Double Conformable Sumudu Transform

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Keywords

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