Existence and stability for fractional order pantograph equations with nonlocal conditions
| dc.contributor.author | Ahmad, Israr | |
| dc.contributor.author | Nieto, Juan Jose | |
| dc.contributor.author | Rahman, Ghaus ur | |
| dc.contributor.author | Shah, Kamal | |
| dc.date.accessioned | 2021-10-13T14:18:54Z | |
| dc.date.available | 2021-10-13T14:18:54Z | |
| dc.date.issued | 2020-12-26 | |
| dc.description.abstract | In this article we study the a coupled system of fractional pantograph differential equations (FPDEs). Using degree theory, we state necessary conditions for the existence of solutions to a coupled system of fractional partial differential equations with non-local boundary conditions. Also using tools from non-linear analysis, we establish some stability results. We illustrate our theoretical results with a test problem. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 16 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Ahmad, I., Nieto, J. J., Rahman, G. U., & Shah, K. (2020). Existence and stability for fractional order pantograph equations with nonlocal conditions. <i>Electronic Journal of Differential Equations, 2020</i>(132), pp. 1-16. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14643 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Coupled system | |
| dc.subject | Non-local boundary conditions | |
| dc.subject | Stability theory | |
| dc.subject | Pantograph equation | |
| dc.title | Existence and stability for fractional order pantograph equations with nonlocal conditions | |
| dc.type | Article |