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2024 | OriginalPaper | Chapter

Using Double Formable Transform to Solve Fractional Partial Differential Equations

Authors : Rania Saadeh, Bayan Ghazal, Sara Mashagbeh

Published in: Mathematical Analysis and Numerical Methods

Publisher: Springer Nature Singapore

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Abstract

The chapter presents the Double Formable Transform (DFT) as a innovative double transform for solving fractional partial differential equations (FPDEs). It begins by introducing the SFT and its properties, then defines the DFT and explores its applications in solving various FPDEs, including heat equations and higher-order FPDEs. The DFT is shown to be more efficient than other integral transforms due to its simplicity and ability to maintain constant values under transformation. The chapter concludes by highlighting the potential of DFT in future research for nonlinear problems and other transformations.

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previous chapter New Refinements of Generalized Numerical Radius Inequalities

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Title: Using Double Formable Transform to Solve Fractional Partial Differential Equations
Authors: Rania Saadeh
Bayan Ghazal
Sara Mashagbeh
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_36

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