Existence and uniqueness of solutions for Caputo-Hadamard sequential fractional order neutral functional differential equations
dc.contributor.author | Ahmad, Bashir | |
dc.contributor.author | Ntouyas, Sotiris | |
dc.date.accessioned | 2022-03-22T19:40:18Z | |
dc.date.available | 2022-03-22T19:40:18Z | |
dc.date.issued | 2017-02-02 | |
dc.description.abstract | In this article, we study the existence and uniqueness of solutions for Hadamard-type sequential fractional order neutral functional differential equations. The Banach fixed point theorem, a nonlinear alternative of Leray-Schauder type and Krasnoselski fixed point theorem are used to obtain the desired results. Examples illustrating the main results are presented. An initial value integral condition case is also discussed. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 11 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Ahmad, B., & Ntouyas, S. K. (2017). Existence and uniqueness of solutions for Caputo-Hadamard sequential fractional order neutral functional differential equations. Electronic Journal of Differential Equations, 2017(36), pp. 1-11. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/15541 | |
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, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Fractional differential equations | |
dc.subject | Existence | |
dc.subject | Fixed point | |
dc.subject | Functional fractional differential equations | |
dc.subject | Caputo-Hadamard fractional differential equations | |
dc.title | Existence and uniqueness of solutions for Caputo-Hadamard sequential fractional order neutral functional differential equations | |
dc.type | Article |