full
search.png

Search

close.png

Cancel

Volume 6, Issue 4
Solution of Some Non-Homogeneous Fractional Integral Equations by Aboodh Transform

Wagdi F. S. Ahmed & D. D. Pawar

DOI: 10.12150/jnma.2024.1186

J. Nonl. Mod. Anal., 6 (2024), pp. 1186-1199.

Published online: 2024-12

[An open-access article; the PDF is free to any online user.]

Preview Full PDF 330 3193

Cited by

google scholar semantic scholar
Export citation
  • Abstract

The present paper introduces the Aboodh transform technique as a method for obtaining solutions to a class of non-homogeneous fractional integral equations. The emphasis is placed on equations characterized by expressions involving Riemann-Liouville fractional integrals of orders $1,$ $\frac{1}{2},$ and $\frac{1}{3}.$ The paper includes illustrative examples that demonstrate the application of the Aboodh transform technique. These examples elucidate how the technique can effectively yield solutions for specific instances of the mentioned equations. The obtained solutions are presented in the form of Mellin-Ross functions.

  • Keywords

Fractional differential equations, Aboodh transform, fractional integral equations, Mellin-Ross function, Riemann-Liouville fractional integral.

  • AMS Subject Headings

26A33, 46F10, 34A08, 46A12

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JNMA-6-1186, author = {Ahmed , Wagdi F. S. and Pawar , D. D.}, title = {Solution of Some Non-Homogeneous Fractional Integral Equations by Aboodh Transform}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2024}, volume = {6}, number = {4}, pages = {1186--1199}, abstract = {

The present paper introduces the Aboodh transform technique as a method for obtaining solutions to a class of non-homogeneous fractional integral equations. The emphasis is placed on equations characterized by expressions involving Riemann-Liouville fractional integrals of orders $1,$ $\frac{1}{2},$ and $\frac{1}{3}.$ The paper includes illustrative examples that demonstrate the application of the Aboodh transform technique. These examples elucidate how the technique can effectively yield solutions for specific instances of the mentioned equations. The obtained solutions are presented in the form of Mellin-Ross functions.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2024.1186}, url = {http://global-sci.org/intro/article_detail/jnma/23679.html} }
TY - JOUR T1 - Solution of Some Non-Homogeneous Fractional Integral Equations by Aboodh Transform AU - Ahmed , Wagdi F. S. AU - Pawar , D. D. JO - Journal of Nonlinear Modeling and Analysis VL - 4 SP - 1186 EP - 1199 PY - 2024 DA - 2024/12 SN - 6 DO - http://doi.org/10.12150/jnma.2024.1186 UR - https://global-sci.org/intro/article_detail/jnma/23679.html KW - Fractional differential equations, Aboodh transform, fractional integral equations, Mellin-Ross function, Riemann-Liouville fractional integral. AB -

The present paper introduces the Aboodh transform technique as a method for obtaining solutions to a class of non-homogeneous fractional integral equations. The emphasis is placed on equations characterized by expressions involving Riemann-Liouville fractional integrals of orders $1,$ $\frac{1}{2},$ and $\frac{1}{3}.$ The paper includes illustrative examples that demonstrate the application of the Aboodh transform technique. These examples elucidate how the technique can effectively yield solutions for specific instances of the mentioned equations. The obtained solutions are presented in the form of Mellin-Ross functions.

Ahmed , Wagdi F. S. and Pawar , D. D.. (2024). Solution of Some Non-Homogeneous Fractional Integral Equations by Aboodh Transform. Journal of Nonlinear Modeling and Analysis. 6 (4). 1186-1199. doi:10.12150/jnma.2024.1186
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard