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2024 | OriginalPaper | Chapter

Solving Partial Integro Differential Equations Via Double ARA-Formable Transform

Authors : Rania Saadeh, Motasem Mustafa, Aliaa Burqan

Published in: Mathematical Analysis and Numerical Methods

Publisher: Springer Nature Singapore

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Abstract

The double ARA-Formable transform is a novel double integral transform that we present in this research. Existence conditions, partial derivatives, the double convolution theorem, with other properties and theorems are discussed. Moreover, we solve linear partial integro-differential equations (PIDE) using a convolution kernel and the double ARA-Formable transform. We solve a significant number of examples and show that the double ARA-Formable transform converts the PIDE into a solvable algebraic equation.

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previous chapter Stress Detection Using Novel Time–Frequency Decomposition: Progressive Fourier Transform
next chapter Solving Partial Integro Differential Equations Via Double Laplace-Formable Transform
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Metadata
Title
Solving Partial Integro Differential Equations Via Double ARA-Formable Transform
Authors
Rania Saadeh
Motasem Mustafa
Aliaa Burqan
Copyright Year
2024
Publisher
Springer Nature Singapore
Book
Mathematical Analysis and Numerical Methods

Print ISBN: 978-981-9748-75-4

Electronic ISBN: 978-981-9748-76-1

Copyright Year: 2024

DOI
https://doi.org/10.1007/978-981-97-4876-1_17

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