Solving ordinary differential equations using a new general complex integral transform

Mehdi, Sadiq A.; Kuffi, Emad A.; Jasim, Jinan A.

doi:10.1080/09720502.2022.2089381

Cited by 6 publications

(2 citation statements)

References 8 publications

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“…Then, SEJI integral transform denoted by 𝑇 𝑔 𝑐 {𝑓(𝑡)} is defined by the integral equation: Where 𝑡 ≥ 0, 𝑝(𝑠) and 𝑞(𝑠) are positive real functions, 𝑖 complex number. [30] 2. The Double SEJI Integral Transform Where 𝛾 and 𝜔 are real constants.…”

Section: Introductionmentioning

confidence: 99%

Double SEJI Integral Transform and its Applications to Differential Equations

Jasim,

Mehdi,

Kuffi

2023

GLM

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In this paper, a novel concept for a double transform in two dimensions known as the double SEJI integral transform has been proposed. Its key characteristics, including a few of its properties and theorems, have been established. A few well-known functions were also available in the Double SEJI integral transform. Later, we learn about brand-new research on partial fractional Caputo derivatives and partial differential derivatives. Finally, we apply this new transform to various first- and second-order partial differential equations.

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Section: Introductionmentioning

confidence: 99%

Double SEJI Integral Transform and its Applications to Differential Equations

Jasim,

Mehdi,

Kuffi

2023

GLM

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“…In this work, we demonstrate the solution of kinds of integral differential equations by applying double SEJI integral transform. [27] The SEJI integral transform is a new integral transform similar to the Laplace transform and other integral transforms that are defined in the time domain 𝑡 ≥ 0, such as the Sumudu transform, Elzaki transform, integral transform and SEE complex transform. SEJI integral transform is defined for functions of exponential order.…”

Section: Introductionmentioning

confidence: 99%

Double SEJI Integral Transform and its Applications of Solution Integral Differential Equations

Jasim,

Mehdi,

Kuffi

2023

GLM

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The aim of this paper is to establish an efficient of a new transform called double SEJI integral transform to solve integral differential equations. Some important properties are proved by this suggested transform with theorem for the partial fractional Caputo derivatives. Finally, we use them to solve applications of some kinds of integral equations by transforming them to algebraic equations and solve by using the giving properties.

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