Existence of Solution for Non-Linear Functional Integral Equations of Two Variables in Banach Algebra
| dc.contributor.author | Srivastava, H.M. | |
| dc.contributor.author | Das, Anupam | |
| dc.contributor.author | Hazarika, Bipan | |
| dc.contributor.author | Mohiuddine, S.A. | |
| dc.date.accessioned | 2020-01-09T16:58:37Z | |
| dc.date.available | 2020-01-09T16:58:37Z | |
| dc.date.copyright | 2019 | en_US |
| dc.date.issued | 2019 | |
| dc.description.abstract | The aim of this article is to establish the existence of the solution of non-linear functional integral equations x(l,h)=(U(l,h,x(l,h))+F(l,h,∫l0∫h0P(l,h,r,u,x(r,u))drdu,x(l,h)))×G(l,h,∫a0∫a0Q(l,h,r,u,x(r,u))drdu,x(l,h)) of two variables, which is of the form of two operators in the setting of Banach algebra C([0,a]×[0,a]),a>0. Our methodology relies upon the measure of noncompactness related to the fixed point hypothesis. We have used the measure of noncompactness on C([0,a]×[0,a]) and a fixed point theorem, which is a generalization of Darbo’s fixed point theorem for the product of operators. We additionally illustrate our outcome with the help of an interesting example. | en_US |
| dc.description.reviewstatus | Reviewed | en_US |
| dc.description.scholarlevel | Faculty | en_US |
| dc.identifier.citation | Srivastava, H.M., Das, A., Hazarika, B. & Mohiuddine, S.A. (2019). Existence of Solution for Non-Linear Functional Integral Equations of Two Variables in Banach Algebra. Symmetry, 11(5), 674. https://doi.org/10.3390/sym11050674 | en_US |
| dc.identifier.uri | http://dx.doi.org/10.3390/sym11050674 | |
| dc.identifier.uri | http://hdl.handle.net/1828/11473 | |
| dc.language.iso | en | en_US |
| dc.publisher | Symmetry | en_US |
| dc.subject | functional integral equations | |
| dc.subject | Banach algebra | |
| dc.subject | fixed point theorem | |
| dc.subject | measure of noncompactness | |
| dc.subject.department | Department of Mathematics and Statistics | |
| dc.title | Existence of Solution for Non-Linear Functional Integral Equations of Two Variables in Banach Algebra | en_US |
| dc.type | Article | en_US |