Using New Operational Matrix for Solving Nonlinear Fractional Integral Equations

Q: How can I download an article?

To download an article from SID, first log in to the site, search for the article title, and click on the 'Download Article' option.

Q: How can I download an ISI article?

To download an ISI article on SID, enter the keyword or article title in the search bar, view the relevant results, click on the desired article, and select the 'Download Article' option.

Q: How can I access the SID database?

To access the SID database, visit SID.ir, create an account, and log in to access scientific resources.

Q: Is downloading articles from SID free?

Some articles on SID are available for free, while others require payment. Details are specified on the article's page.

SALEKI F.; EZZATI R.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: International Journal of Industrial Mathematics Year:2021 | Volume:13 | Issue:4 Page(s): 371-384

Download Full-Text

View:

107

Download:

Cites:

Information Journal Paper

Title

Using New Operational Matrix for Solving Nonlinear Fractional Integral Equations

Author(s)

SALEKI F. | EZZATI R. | Issue Writer Certificate

Keywords

Integral equations

Nonlinear Fractional Integral Equations

Numerical Method

Operational Matrix

New Basis Function

Abstract

In this paper, a Numerical Method for solving nonlinear fractional Integral equations (NFIE) is introduced. This method is based on the New Basis Functions (NFs) introduced in [M. Paripour and et al., Numerical solution of nonlinear Volterra Fredholm Integral equations by using New Basis Functions, Communications in Numerical Analysis, (2013)]. Since the conventional operational matrices for fractional kernels are singular, the de nition of these matrices is modi ed. In order to increase the accuracy of approximating integrals, the operational matrices are exactly calculated and parametrically presented. Then, the solution procedure is proposed and applied on NFIE. Furthermore, the error analysis is performed and rate of convergence is obtained. In addition, various numerical examples are provided for a wide range of fractional orders and nonlinearity of Integral equations. Comparison of the results with the exact solutions and those reported in previous studies indicate the capability, salient accuracy, and superiority of the proposed method over similar ones.

Multimedia

No record.

Cites

No record.

References

No record.

Cite

APA: Copy

SALEKI, F., & EZZATI, R.. (2021). Using New Operational Matrix for Solving Nonlinear Fractional Integral Equations. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 13(4), 371-384. SID. https://sid.ir/paper/969012/en

Vancouver: Copy

SALEKI F., EZZATI R.. Using New Operational Matrix for Solving Nonlinear Fractional Integral Equations. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2021;13(4):371-384. Available from: https://sid.ir/paper/969012/en

IEEE: Copy

F. SALEKI, and R. EZZATI, “Using New Operational Matrix for Solving Nonlinear Fractional Integral Equations,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 13, no. 4, pp. 371–384, 2021, [Online]. Available: https://sid.ir/paper/969012/en

Related Journal Papers

No record.

Related Seminar Papers

No record.

Related Plans

No record.

Recommended Workshops