A New Approach for the Approximate Analytical Solution of Space-Time Fractional Differential Equations by the Homotopy Analysis Method
Joint Authors
Bayrak, Mine Aylin
Ozbilge, Ebru
Demir, Ali
Source
Advances in Mathematical Physics
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-05-06
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The motivation of this study is to construct the truncated solution of space-time fractional differential equations by the homotopy analysis method (HAM).
The first space-time fractional differential equation is transformed into a space fractional differential equation or a time fractional differential equation before the HAM.
Then the power series solution is constructed by the HAM.
Finally, taking the illustrative examples into consideration we reach the conclusion that the HAM is applicable and powerful technique to construct the solution of space-time fractional differential equations.
American Psychological Association (APA)
Demir, Ali& Bayrak, Mine Aylin& Ozbilge, Ebru. 2019. A New Approach for the Approximate Analytical Solution of Space-Time Fractional Differential Equations by the Homotopy Analysis Method. Advances in Mathematical Physics،Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1118966
Modern Language Association (MLA)
Demir, Ali…[et al.]. A New Approach for the Approximate Analytical Solution of Space-Time Fractional Differential Equations by the Homotopy Analysis Method. Advances in Mathematical Physics No. 2019 (2019), pp.1-12.
https://search.emarefa.net/detail/BIM-1118966
American Medical Association (AMA)
Demir, Ali& Bayrak, Mine Aylin& Ozbilge, Ebru. A New Approach for the Approximate Analytical Solution of Space-Time Fractional Differential Equations by the Homotopy Analysis Method. Advances in Mathematical Physics. 2019. Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1118966
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1118966