Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
DE
EN
Books
Journals
Events
Topic Page
Marketing
Log in
Learn more about individual access
Request company access
13th International Engine Congress 2026 | 24 + 25 February 2026

Meeting Place for the Powertrain and Sustainable Fuels Community

Take part as a speaker in the 13th International Engine Congress 2026, the Meeting Place for the Powertrain, and Sustainable Fuels Community for the exchange of experience. Submit a subject proposal online about our main subject areas: Passenger car engine technology, Commercial vehicle engine technology and Sustainable Fuels & Energy!
EXTENDED SEARCH
Log in
Top
Published in:
Read chapter Read first chapter

2024 | OriginalPaper | Chapter

Using Modified Atomic Solution Method to Solve Nonhomogeneous Fractional PDE

Authors : Gharib M. Gharib, Maha S. Alsauodi, Rania Saadeh, Worood A. AL-hakim, Bara’a A. Abujarad

Published in: Mathematical Analysis and Numerical Methods

Publisher: Springer Nature Singapore

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this work, one of the top new method called “Atomic Solution” that used to solve some partial fractional deferential equations that contains tensor product and variables from Banach space. This method is then used to solve the Fractional PDE Equation step by step, in order to illustrate the effectiveness of the method.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter Effective Time Fuzzy Soft Set
next chapter Separation Axiom Via New Types of Functions in Hereditary bi m-Spaces
Literature
1.
2.
Bushnaque, A., Al-Horani, M., Khalil, R.: Tensor product technique and atomic solution of fractional Bate Man Burgers equation. J. Math. Comput. Sci. 11(1), 330–336 (2020)
3.
Gupta, A.: Real and Abstract Analysis. Academic Publishers (2000)‏
4.
Khalil, R.: Isometries of Lp⨂Lp. Tam. J. Math. 16, 77–85 (1985)
5.
Khalil, R., Al Horani, M., Yousef, A., Sababheh, M.: A new definition of fractional derivative. J. Comput. Appl. Math. 264, 65–70 (2014)MathSciNetCrossRef
6.
Korevaar, J.: Mathematical Methods: Linear Algebra/Normed Spaces/Distributions/Integration. Elsevier (2014)‏
7.
Kulkarni, S.H.: Hahn Banach theorems. Math. Newslett. Ramanujan Math. Soc. 16(3) (2006)‏
8.
Light, W.A., Cheney, E.W.: Approximation Theory in Tensor Product Spaces, vol. 1169. Springer (2006)
9.
Ryan, R.A., Ryan, R.: Introduction to Tensor Products of Banach Spaces, vol. 73. Springer, London (2002)CrossRef
10.
Schiff, J.L.: The Laplace Transform: Theory and Applications. Springer (1999)
11.
Shirali, S., Vasudeva, H.L.: Metric Spaces. Springer (2005)‏
Metadata
Title
Using Modified Atomic Solution Method to Solve Nonhomogeneous Fractional PDE
Authors
Gharib M. Gharib
Maha S. Alsauodi
Rania Saadeh
Worood A. AL-hakim
Bara’a A. Abujarad
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_10

Premium Partner

    Image Credits