Solving infinite system of nonlinear integral equations by using F-generalized Meir-Keeler condensing operators, measure of noncompactness and modified homotopy perturbation

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.

RABBANI MOHSEN; Arab Reza

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

Journal Paper

Paper Information

Journal: JOURNAL OF NEW RESEARCHES IN MATHEMATICS Year:2018 | Volume:4 | Issue:14 Page(s): 149-160

Download Full-Text

Persian Verion

View:

373

Download:

Cites:

Information Journal Paper

Title

Solving infinite system of nonlinear integral equations by using F-generalized Meir-Keeler condensing operators, measure of noncompactness and modified homotopy perturbation

Author(s)

RABBANI MOHSEN | Arab Reza | Issue Writer Certificate

Keywords

Meir-Keeler condensing operatorsQ1

Banach spaceQ2

Measure of noncompactnessQ1

Integral equationsQ1

Homotopy perturbationQ1

Abstract

In this article to prove existence of solution of infinite system of nonlinear Integral equations, we consider the space of solution containing all convergence sequences with a finite limit, as with a suitable norm is a Banach space. By creating a generalization of Meir-Keeler condensing operators which is named as F-generalized Meir-Keeler condensing operators and Measure of noncompactness, we prove some fixed point theorems. With the help of the above process we try to generalize some theorems which were proved by other authors such as [3, 19] about existence of solution by fixed point theorems. Then for validity and application of our proposed theorems, we prove existence of solution for infinite system of nonlinear Integral equations. Finally for ability and more attractiveness of this research, we construct an iteration algorithm by modified Homotopy perturbation and Adomian decomposition method to obtain approximation of solution of the infinite system of nonlinear Integral equations.

Cites

No record.

References

No record.

Cite

APA: Copy

RABBANI, MOHSEN, & Arab, Reza. (2018). Solving infinite system of nonlinear integral equations by using F-generalized Meir-Keeler condensing operators, measure of noncompactness and modified homotopy perturbation. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 4(14 ), 149-160. SID. https://sid.ir/paper/257375/en

Vancouver: Copy

RABBANI MOHSEN, Arab Reza. Solving infinite system of nonlinear integral equations by using F-generalized Meir-Keeler condensing operators, measure of noncompactness and modified homotopy perturbation. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2018;4(14 ):149-160. Available from: https://sid.ir/paper/257375/en

IEEE: Copy

MOHSEN RABBANI, and Reza Arab, “Solving infinite system of nonlinear integral equations by using F-generalized Meir-Keeler condensing operators, measure of noncompactness and modified homotopy perturbation,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 4, no. 14 , pp. 149–160, 2018, [Online]. Available: https://sid.ir/paper/257375/en

Related Journal Papers